مقالات ریاضی وتحقیقات ریاضی

سایت بورسیه برای فوق لیسانس و دکترا

6370243 — Tue, 14 Aug 2007 15:30:36 GMT

در این سایت میتوانید فرم های مربوط به پذیرش برای دانشگاهای خارج را پر کنید وخود موسسات برای بورسیه به شما ایمیل خواهند زد

»2.7 million scholarships & grants worth over $19 billion
»Scholarships match your academics, talents & interests
»Complete source for local & national college scholarships
»Sort scholarships by deadline, dollar amount, relevancy
»Customized scholarship application request letters
»Updates on new scholarships & upcoming deadlines
»Search & compare colleges that are right for you
»Tools and tips to help you pay for college

Success Stories

"Scholarships.com helped me in so many ways it's unbelievable... I had to turn down some of the scholarship money just because I had over and above what I needed to go to college." - Brennan K.
San Diego State University

Welcome to Scholarships.com^TM

Since 1998 - Helping students of all ages find money for college.

Tell us about yourself, get detailed information on college scholarships and grant opportunities, customized just for you! Our expansive college scholarship database is updated constantly, providing the most accurate and relevant scholarship and grant search results.
Start your free college scholarship search now...

Start Your Free Scholarship Search Here

Year In School
Date of Birth
ZIP Code	or Postal Code
Email Address
Create Password
Verify Password

Yes, please keep me informed about the latest scholarships, information on college financial aid & admissions, student loans & offers designed for students & parents from Scholarships.com & its partners.

Recognized by 16,751 high schools and
6,951 colleges and universities nationwide!

Search Free, Avoid Scams,
Find Money for College!

More Student Loan Choices:

سایت برای بورسیه

6370243 — Tue, 14 Aug 2007 15:16:11 GMT

در این سایت میتوانید برای بورسیه دانشگاهای خارج ثبت نام کنید و فرم ها را پر کنید

با توجه به شرایط شما تعدادی از بورسیه ها برای شما معرفی خواهد شد

Login!

Welcome Back to FastWeb!

Returning Users: Login

For more than 10 years:

FastWeb has been the trusted online leader for scholarships.

The most complete source of local, national, and college-specific scholarships
Personalized scholarship matching
Search and compare colleges that are right for you
Find colleges with scholarship money for you
Tools and tips to help you pay for college
Jobs and internships for students

کتاب های رایگان درسی ریاضی دانشگاهی

6370243 — Fri, 20 Jul 2007 09:07:25 GMT

کتاب های رایگان درسی ریاضی دانشگاهی

مدیر علمی گروه : حسن جولانی

مدیر تحقیقاتی گروه: دکتر اکبر صدیقی

Online Mathematics Textbooks

The writing of textbooks and making them freely available on the web is an idea whose time has arrived. Most college mathematics textbooks attempt to be all things to all people and, as a result, are much too big and expensive. This perhaps made some sense when these books were rather expensive to produce and distribute--but this time has passed.

A few years ago when I first posted a list of mathematics textbooks freely available on line, there existed only a handful of such books. Now there are many. The list here has grown and grown and is perhaps in serious need of some kind of organization into topics. There are also now many other sites at which there are links to on-line mathematics books and lecture notes. This site is far from comprehensive and I have considered abandoning it. Many people, however, still seem to find it useful, and so I shall continue to maintain it for a while.

Professor Jim Herod and I have written Multivariable Calculus ,a book which we and a few others have used here at Georgia Tech for two years. We have also proposed that this be the first calculus course in the curriculum here, but that is another story....
Although it is still in print, Calculus,by Gilbert Strang is made available through MIT's OpenCourseWare electronic publishing initiative.
Here is one that has also been used here at Georgia Tech. Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.
Yet another one produced at Georgia Tech is Linear Algebra, Infinite Dimensions, and Maple, by James Herod.
I have also written a modest book, Complex Analysis, which I have used in our introductory undergraduate complex analysis course here.
Complex Variables , by Robert Ash and W. P. Novinger. This is a substantial revision of the first edition of Professor Ash's complex variables text originally published in 1971.
Professor E.H. Connell of the University of Miami has made available on the web his book Elements of Abstract and Linear Algebra. You should read his insightful comments about textbooks.
An introductory algebraic topology book, Algebraic Topology I, by Professor Allen Hatcher, of Cornell University, is available, and Professor Hatcher promises the second volume, Algebraic Topology II, will be ready soon.
The Geometry and Topology of Three-Manifolds, by William Thurston. This is an electronic edition of the 1980 lecture notes distributed by Princeton University.
Professor Jim Hefferon of Saint Michaels's College has made available his undergraduate textbook Linear Algebra.
Another elementary linear algebra textbook is Elementary Linear Algebra, by Keith Matthews.
Introduction to Probability, by Charles Grinstead & J. Laurie Snell.
An Introduction to Probability and Random Processes, by Gian-Carlo Rota and Kenneth Baclawski. This is the 1979 manuscript of the work Professor Rota had been working on for some time. It is made available through the efforts of David Ellerman.
Professor Herbert Wilf (and the publisher, A. K. Peters) has made available his book generatingfunctionology.
Another one by Professor Wilf is Algorithms and Complexity.
A = B, by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger. This one is also available in print and is available online with the blessing of the publisher, A. K. Peters, Ltd..
Perhaps the greatest textbook of them all is Euclid's Elements.
Originally published by Springer-Verlag, the book A Course in Universal Algebra, by Stanley Burris, and H. P. Sankappanavar, is available online.
Professor Robert Ash has written and made available Abstract Algebra:The Basic Graduate Year.
Another one by Professor Ash is A Course In Algebraic Number Theory.
Professor Ash has also completed and made available A Course in Commutative Algebra.
The Calculus Bible is an elementary calculus textbook from Professor G. S. Gill of the Brigham Young University Mathematics Department.
Calculus Without Limits, by John C. Sparks.
Originally published by Prindle, Weber & Schmidt but currently out of print, Elementary Calculus: An Approach Using Infinitesimals, by Professor H. Jerome Keisler, is now freely available online.
Graph Theory, by Reinhard Diestel.
Available for self-study from The Trillia Group is Basic Concepts of Mathematics, by Elias Zakon.
Another one from The Trillia Group is An Introduction to the Theory of Numbers by Leo Moser.
Yet another from The Trillia Group is Mathematical Analysis I, by Elias Zakon.
Thanks to Malaspina Great Books, Mechanism of the Heavens (1831), by Mary Somerville, is available online. This second edition was prepared by Russell McNeil.
Lecture Notes on Optimization, by Pravin Varaiya. This is a re-issue of a book out of print since 1975. It is an introduction to mathematical programming, optimal control, and dynamic programming.
A Manual of Mathematical Ilustration, by Bill Casselman, shows, at several levels of sophistication, how to use PostScript for producing mathematical graphics.
A Problem Course in Mathematical Logic, by Stefan Bilaniuk .
Concepts and Applications of Inferential Statistics, by Richard Lowry.
To be published soon by Cambridge University Press, A Computational Introduction to Number Theory and Algebra, by Victor Shoup will nevertheless remain freely available on-line.
Out of print for sometime, but freely available is Graph Theory with Applications, by J. A. Bondy and U. S. R. Murty.
Yet another one out of print, but now freely available is Convergence of Stochastic Processes, by David Pollard.
Designed for undergraduate physics students is Mathematical Tools for Physics, by James Nearing.
Elementary Number Theory, by William Stein.
A Modern Course on Curves and Surfaces, by Richard Palais.
A First Course in Linear Algebra, by Rob Beezer.
Group Theory, by Pedrag Civitanovic.
Shlomo Sternberg has written Theory of Functions of a Real Variable.
Lie Algebras is another one by Professor Sternberg
Yet another one by Professor Sternberg is Semi-Riemann Geometry and General Relativity
Advanced Calculus, by Lynn Loomis and Schlomo Sternberg
Difference Equations to Differential Equations, by Dan Sloughter.
The Calculus of Functions of Several Variables is another one by Professor Sloughter.
Notes on Differential Equation, by Bob Terrell.
Sets, Relations, Functions, by Ivo Düntsch and Günther Gediga.
Another one by Düntsch and Gediga is Rough Set Data Analysis.
Predicative Arithmetic, by Edward Nelson.
Toposes, Triples and Theories, by Michael Barr and Charles Wells.
Information Theory, Inference, and Learning Algorithms, by David J. C. MacKay is published by Cambridge University Press, but is, nevertheless, freely available online.
Linear Partial Differential Equations and Fourier Theory , by Marcus Pivato.
Another one by Professor Pivato is Voting, Arbitration, and Fair Division: The Mathematics of Social Choice.
Introduction to Vectors and Tensors, Volume 1, Linear and Multilinear Algebra, and Introduction to Vectors and Tensors, Volume 2, Vector and Tensor Analysis by Ray M. Bowen and C.-C.Wang, are revised versions of books originally published by Plenum Press in 1976.
Another one by Professor Bowen and originally published by Plenum Press is Introduction to Continuum Mechanics for Engineers.
Numerical Methods and Analysis for Engineers, by Douglas Wilhelm Harder.
Analysis of Functions of a Single Variable, by Lawerence Baggett, was originally written to be used for a one semester senior course, but the author suggests that it is more appropriate for first year graduate students.
Convex Optimization, by Stephen Boyd, and Lieven Vandenberghe is freely available thanks to Cambridge University Press.
Mathematics Under the Microscope, by Alexandre Borovik, is, according to the author, an attempt "to start a dialogue between mathematicians and cognitive scientists."
Introduction to Statistical Signal Processing, by R. M. Gray and L. D. Davisson is, according to Professor Gray, a "...much revised version of the earlier text Random Processes: An Introduction for Engineers, Prentice-Hall, 1986, which is long out of print." The current book is published by Cambridge University Press.
Not simply an online textbook, but certainly in the same spirit is the Topology Webcourse project undertaken by Topology Atlas.
This is, I suppose, not a textbook, but nevertheless an interesting reference: The Matrix Cookbook, by Kaare Brandt Petersen, and Michael Syskind Pedersen.
Not really a textbook either, Constants, by Steven Finch, is, nevertheless, a nice collection of essays. The title pretty much describes the subject.

rsearch mathematical izlamic azad university of tabriz

email: hassan.jolany@gmail.com

کتابخانه ریاضی

6370243 — Tue, 19 Jun 2007 15:32:20 GMT

حسن جولانی

Cornell University Library

The Cornell University Library: Historical Mathematics Monographs is open to the general public, in accordance with the terms set forth in the Guidelines for Using Text and Images from Cornell Digital Library Collections.

Cornell University Library Historical Mathematics Monographs

The Cornell University Library Historical Mathematics Monographs is a collection of selected monographs with expired copyrights chosen from the mathematics field. These were monographs that were brittle and decaying and in need of rescue.

These monographs were digitally scanned and facsimile editions on acid free paper were created. For more information check our About the Collection link above.

Get Print Copies of the Math Books!

Current Online Holdings:
Monographs: 512
Pages: 191,048 pages

Send us E-mail: DIGILIB@Cornell
© Copyright 2007 by the Cornell University Library

Department of Mathematics
Faculty of Science and Science Education
University of Haifa החוג למתמטיקה
הפקולטה למדעים והוראתם
אוניברסיטת חיפה

Electronic Books in mathematics

Lists at other sites

general mathematics resources

6370243 — Tue, 19 Jun 2007 15:16:09 GMT

mathematics

general mathematics resources
links	comments
mathematics chronology	Provided by the School of Mathematics and Statistics University of St Andrews, Scotland. Includes subject glossary, biographies and a subject index. See also their script which tells you Mathematicians alive on a given date. Useful for deciding on something to celebrate at a party is Mathematicians' anniversaries throughout the year.
MSC 2000	2000 Mathematics Subject Classification. I prefer to use their MSC 2000 directory browsing. Hosted by the Fachinformationszentrum Karlsruhe, which includes some useful mathematics links.
Mathematical atlas	Includes a set of articles on the areas of mathematics arranged by AMS classification (MSC). Includes differential geometry. Includes such detailed things as an example of a topological space which is locally Euclidean but not Hausdorff.
Geometry.net links	A very useful-looking large set of links to mathematics sites. They also seem to run a search engine (called `Copernic'?) for finding mathematics sites on the web.
AMS maths in media	AMS archive of maths that appears in the media.
Math Forum	A web site with a useful general discussion groups and research discussion groups for mathematics.
sci.math	`sci.math.*` news groups at Google.
science oxygen	2005-11-26: Includes tensor analysis and Lie Groups and Lie Algebras and differential geometry. This seems to be an automatically generated set of links from Google searches.
free download books, lecture notes, research papers
links	comments
halfvalue.com textbooks	2007-2-26: Free mathematics textbooks online.
maths textbooks	2005-3-1: A really big list of free online textbooks on mathematics collected by Alexandre Stefanov. See also his links to other lists of maths books online. This list is duplicated at algebra.com.
Le MathsLinker	2005-3-1: An index of maths resources (such as free books) on the web in French and English.
Lyon	2007-3-14: Archive des rapports de stages des étudiants de l'École Normale Supérieure de Lyon.
books.pspxworld.com	2007-2-12: An index of free mathematics books. They seem to be elementary.
geometry and topology	The net advance of physics. A big list of maths and physics documents for download from the net.
Norbury e-books	Several free online books in PDF format by John W. Norbury. Includes a book on general relativity.
Sean O'Hagan's list	2004-6-27: A list of free downloadable maths books, mostly on algebraic topology and differential geometry.
citeseer.ist.psu.edu	2005-3-18: CiteSeer. Scientific Literature Digital Library. Lots of online science/engineering literature including mathematics, nicely indexed.
Rincón Matemático	2007-4-30: Spanish-language web site for mathematics students. Uses SMF (Simple Machines Forum) software.
See also free online download differential geometry textbooks and notes.
mathematics journals
links	comments
GANG	Geometry Analysis Numerics Graphics journal preprints. Includes these papers by Evans and Spruck on motion by mean curvature.
DG e-prints	Online reprints of papers in a large number of DG topics.
JDG	2005-3-20: Journal of Differential Geometry. See also JDG article submission.
arXiv.org e-Print archive	Some sort of archive of maths and physics publications. Includes a paper on Manyfold universe theory. See also arxiv.org/archive/math.
WorldSciNet	A site with a big collection of journals, including on maths and physics. Includes International Journal of Mathematics.
analysis and differential geometry
links	comments
geometry.net DG links	A big set of useful links on differential geometry.
the Spivak book	The 3rd edition (1999) of Michael Spivak's 5-volume DG book. Costs US$145 for the set.
TCAEP	Amazon book-selling of DG books via the constants and equations pages.
DG/PDE seminars	Info on University of Washington seminars. Includes this postscript abstract of a talk by John McCuan (MSRI) in Fall 1998 on applications of convexity maximum principles to problems of constant sectional curvature. Also refers to a paper by Alvarez, Lasry and Lions (1997) which gives an improved convexity maximum principle.
DG book draft	Alan Kennington's free online differential geometry book draft, including differentiable manifolds, fibre bundles, connections and riemannian manifolds.
DG and GR notes	DG and general relativity lecture notes by Stefan Waner.
DG lecture notes	A set of differential geometry lecture notes by Sergei Yakovenko.
mathematics institutions and organisations
links	comments
Uni Tübingen	Department of Maths, University of Tübingen. Includes Gerhard Huisken.
University of Sevilla	Department of Geometry and Topology.
UK mathematics	Home page of University of Kentucky mathematics department. Includes staff web pages.
Brandeis Maths Dept	Massachusetts.
SINTEF	Applied Mathematics institute in Trondheim, Norway.
IMAG	Institut d'Informatique et Mathématiques Appliquées de Grenoble.
UTSA	Division of Mathematics and Statistics, University of Texas at San Antonio.
Aust Math Soc	See also Australian Math Society Welcome Page.
Australian University mathematics departments
links	comments
SMS ANU	School of mathematical sciences, ANU.
University of Adelaide	Mathematics departments' web site. Includes Institute for Geometry and its Applications and Adelaide University differential geometry seminars.
mathematicians
links	comments
Halmos essay	An essay by Paul R. Halmos on How to write Mathematics.
Avner Friedman	See also this short vita.
Hyam Rubinstein	University of Melbourne. Differential geometry.
Grant Keady
Stephan Luckhaus	I met Stephan in Heidelberg (1986/87) and Bonn (1991 or 1992). He helped simplify an interior cone condition in a paper of mine on parabolic initial value problems in 1986/87.
Thorbergsson Gudlaugur	Differential geometer in the Mathematisches Institut der Universität zu Köln.
Bill Burke	Some differential geometry links. Died 1996.
A.N. Tikhonov	2005-3-11: Андрей Николаевич Тихонов (Andrei Nikolaevich Tikhonov). See also this Tikhonov biography.
queueing theorists	2007-3-17: A list of over 1400 queueing theorists. Very scary!
mathematics software
links	comments
WIMS	WWW Interactive Mathematics Server. Lots of interactive mathematics software online.
logic software
links	comments
HOL	Automated Reasoning Group HOL page. The HOL System is an environment for interactive theorem proving in a higher-order logic. The system has a wide variety of uses from formalizing pure mathematics to verification of industrial hardware. The system is available without charge. Cambridge University.
Coq	The Coq proof assistant allows to handle calculus assertions, to check mechanically proofs of these assertions, helps to find formal proofs, extracts a certified program from the constructive proof of its formal specification. Inria, France.
Isabelle	Isabelle is a popular generic theorem proving environment developed at Cambridge University (Larry Paulson) and TU Munich (Tobias Nipkow).
mean curvature flow
links	comments
Sethian publications	Publications of J.A. Sethian.
Russell's paradox
links	comments
Stanford Encyclopedia	2005-5-4: History and significance of the paradox.
scienceworld.wolfram.com	2005-5-4: This very brief biography of Frege contains the famous quote (from the same book by E.T. Bell where I found it): A scientist can hardly encounter anything more undesirable than to have the foundation collapse just as the work is finished. I was put in this position by a letter from Mr. Bertrand Russell when the work was almost through the press. See also Google. See also St. Andrews biography of Frege
Justin T Miller	2005-5-4: Includes discussion of Frege's reaction to Russell's paradox, and this comment: Although the foundation of his theory had been destroyed, Russell described Frege's reaction as superhuman, writing to van Heijenoort that Frege responded with intellectual pleasure clearly submerging any feelings of personal disappointment.
diagonal method	2005-5-4: Diagonal method and Russell's paradox.
ontology of mathematics
links	comments
where maths comes from	2006-12-17: A book called: Where mathematics comes from: how the embodied mind brings mathematics into being. Authors: George Lakoff & Rafael E. Núñez.
Paul Ernest	2004-4-11: Texts and the objects of mathematics. Extract from Chapter 6 of Social Constructivism as a Philosophy of Mathematics, Albany, New York: SUNY Press, 1997.
mathematical logic
links	comments
wiki CC axiom	2007-4-20: A useful wikipedia article on countable axiom of choice. See also axiom of choice, Gödel's incompleteness theorems. For something more cheerful, see also Gödel's incompleteness theorem (in German).
planetmath.org	2005-1-28: Includes an article on countable axiom of choice stating as follows: The Axiom of Countable Choice (CC) is a weak form of the Axiom of Choice. It states that every countable set of nonempty sets has a choice function. ZF+CC (that is, the Zermelo-Fraenkel axioms together with the Axiom of Countable Choice) suffices to prove that the union of countably many countable sets is countable. It also suffices to prove that every infinite set has a countably infinite subset.
related URLs
links	comments
kleinbottle.com	These people sell Klein bottles, mugs and hats.
digits of Pi	An article on randomness of the decimal digits of Pi.
Confidence Intervals	Slide 3 of 7. Computation Physics / Carleton University.
integer sequences	Online encyclopedia of integer sequences.
math methods	The beginnings of texts (free online) on mathematical methods for physics, by Richard Scalzo.
tessellations.com	Commercial site with stuff related to tessellations.
history of topology	A page of lecture notes on history of topology. Comes from a set of notes by E. Christopher Zeeman.
crank.net	Links to bizarre maths on the net.
Kungl texts	Some documents on a swedish site, including this doctoral thesis on convexity by Arshak Petrosyan.
dualities in N=2 string theory	Includes differential geometry and a definition of principal fibre bundle. But the graphics files are missing!
Cardaliaguet	Some papers by Pierre Cardaliaguet, including one on strict concavity of the harmonic radius in dimension N>2.
theorème d'uniformisation de Riemann	A maths document in French. It uses some sort of TeX to PNG convertor to present maths on the web.
Millennium problems	2005-3-18: In order to celebrate mathematics in the new millennium, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named seven Prize Problems. The Scientific Advisory Board of CMI selected these problems, focusing on important classic questions that have resisted solution over the years. The problems titles are: Birch and Swinnerton-Dyer Conjecture, Hodge Conjecture, Navier-Stokes Equations, P vs NP, Poincaré Conjecture, Riemann Hypothesis, Yang-Mills Theory.

Mathematics jokes
I've heard several mathematics jokes in the last 50 years. Very few mathematical jokes actually provoke laughter. They're more like riddles where the point is to guess what they mean, not actually laugh at them. Here's one joke which almost made me laugh. Why did the chicken cross the Möbius strip? To get to the same side. Er, yes, quite... There are very few mathematics jokes which get funnier than that. No wonder mathematicians are such a glum, humourless lot! That's why you don't see groupies hovering around mathematicians at parties. Most mathematicians won't admit to being mathematicians even in private. The other mathematics joke which I found mildly amusing was this: Teacher: I give you 2 rabbits. Pupil: Yes, Sir. Teacher: Then I give you 3 rabbits. Pupil: Yes, Sir. Teacher: Now how many rabbits have you got? Pupil: 6 rabbits, Sir. Teacher: No, no! Think carefully. I give you 2 rabbits. Pupil: Yes, Sir. Teacher: Then I give you 3 rabbits. Pupil: Yes, Sir. Teacher: So now how many rabbits have you got? Pupil: 6 rabbits, Sir. Teacher: No, no, no! Don't you know how to add? Pupil: Yes, Sir. Teacher: So how do you get 6 rabbits from 2 plus 3 then? Pupil: I've already got a rabbit, Sir. I hope you found that as amusing as I did!! When I heard that joke, I naturally thought the student was multiplying and that the joke was about rabbits multiplying, because rabbits multiply and, er.... Never mind! I suppose you could count all of Zeno of Elea's paradoxes as mathematics jokes of their day. Zeno probably got a few hearty laughs down at the Gymnasium with his paradoxes.

Mathematics jokes

I've heard several mathematics jokes in the last 50 years.
Very few mathematical jokes actually provoke laughter.
They're more like riddles where the point is to guess what they mean, not actually laugh at them.
Here's one joke which almost made me laugh.

Why did the chicken cross the Möbius strip?
To get to the same side.

Er, yes, quite...
There are very few mathematics jokes which get funnier than that.
No wonder mathematicians are such a glum, humourless lot!
That's why you don't see groupies hovering around mathematicians at parties.
Most mathematicians won't admit to being mathematicians even in private.

The other mathematics joke which I found mildly amusing was this:

Teacher: I give you 2 rabbits.: Pupil: Yes, Sir.
Teacher: Then I give you 3 rabbits.: Pupil: Yes, Sir.
Teacher: Now how many rabbits have you got?: Pupil: 6 rabbits, Sir.
Teacher: No, no! Think carefully. I give you 2 rabbits.: Pupil: Yes, Sir.
Teacher: Then I give you 3 rabbits.: Pupil: Yes, Sir.
Teacher: So now how many rabbits have you got?: Pupil: 6 rabbits, Sir.
Teacher: No, no, no! Don't you know how to add?: Pupil: Yes, Sir.
Teacher: So how do you get 6 rabbits from 2 plus 3 then?: Pupil: I've already got a rabbit, Sir.

I hope you found that as amusing as I did!!
When I heard that joke, I naturally thought the student was multiplying and that the joke was about rabbits multiplying, because rabbits multiply and, er.... Never mind!

I suppose you could count all of Zeno of Elea's paradoxes as mathematics jokes of their day.
Zeno probably got a few hearty laughs down at the Gymnasium with his paradoxes.

Go to free online differential geometry textbooks.
Go to TeX typesetting software.
Go to mathematics and general science software.
Go to education links.
Go to astronomy links.
Go to physics links.
Go to science organisations and institutions.
Go to my book on differential geometry (work in progress).
Go to Alan Kennington's home page.

MSC 2000 Wheel of Fortune

The look-and-feel of this page (`sandy beige' colour scheme) is
Copyright (C) 1999, Alan Kennington.

Free Hebrew Books in Mathematics

6370243 — Tue, 19 Jun 2007 15:14:05 GMT

Free Hebrew Books in Mathematics

The following online books may be downloaded and printed for private use only.
If you want others to enjoy these books, please add a link from your homepage to this page.
Viewing and printing of some of these books require downloading the Zagit freeware program.
These files are updated from time to time, usually by fixing typos. Please e-mail me any mistake you find (my e-mail is ).

Linear Algebra

Infinitesimal Calculus I+II Exercises

Cantor's dream: A first course in axiomatic set theory

An introduction to Mathematical Logic. These are notes for a course of Haim Judah. These notes are incomplete, and bugfull. I warmly recommend that you buy the book The Incompleteness Phenomenon by Martin Goldsten and Haim Judah. It is a much more complete treatment of the topic, and is very readable.

Special classes of strongly null sets: A journey into the continuum This is my M.Sc. thesis... hmm... actually it is written in English :(...

Free books by other authors

Uzi Vishne has written several good exercise books (all the following are Zagit files):

I recommend the great books of Aharon Razon on algebraic structures (I read them myself). He currently also writes a book on differential equations. See there.

Azriel Levy has written excellent course notes on Naive (or Basic) set theory. If for some reason you cannot access this link, try this one.

Links to Mathematics Books Online

6370243 — Tue, 19 Jun 2007 15:12:35 GMT

AMS Title List | Home | AMS Bookstore

Links to Mathematics Books Online - If you know of links to research-level mathematics (or mathematically related) books online, please send email to online-books@ams.org. We hope to provide a comprehensive list of books available online which will grow over time.

AMS Books Online

Online Book Websites

Mathematics on the Web List

On-Line Books Page - Mathematics

George Cain's Online Book List

Cornell University Library Math Book Collection

EMS Electronic Library of Mathematics

Internet Public Library

Numerical Recipes Books On-Line

Herb Wilf's Books Available Page

Google Directory of Online Texts

Individual Titles Online

A Problem Course in Mathematical Logic, by Stefan Bilaniuk

Geometry and Topology Monographs: Invitation to higher local fields, Volume 3, edited by Ivan Fresenko and Masato Kurihara

Favorite Mathematical Constants, by Steven Finch

A Gentle Introduction to Category Theory, by Maarten M. Fokkinga

Moduli Spaces in Algebraic Geometry, edited by L. Goettsche

Introduction to Tensor Calculus and Continuum Mechanics, by John H. Heinbockel

Arithmetic Duality Theorems, by James S. Milne

Topology Without Tears, by Sydney A. Morris

Hilbert Space Methods for Partial Differential Equations, by R.E. Showalter

Practical Foundations of Mathematics, by Paul Taylor

Jacobi Operators and Completely Integrable Nonlinear Lattices, by Gerald Teschl

Real Analysis, by Bert G. Wachsmuth

Fundamentals of Model Theory, by William Weiss and Cherie D'Mello


	Comments: webmaster@ams.org © Copyright 2007, American Mathematical Society Privacy Statement		Search the AMS

Textbooks in Mathematics

6370243 — Tue, 19 Jun 2007 15:10:56 GMT

Textbooks in Mathematics
at geocities or ICTP

A list of links to useful mathematical textbooks available for free on the Internet.
They are all legal and maintained by their authors or by the legitimate publisher.

All the documents are in English. They are in a printable format - Postscript
or Adobe Portable Document Format. You are free to download, read and print them.
Here are some links to other sites offering lists of free mathematical textbooks.

For any comments, please, contact me: alex_stef@yahoo.com

This page is mirorred here: users.ictp.it/~stefanov/mylist.html . Change your bookmarks, as there no limitations on bandwidth apply. This mirror will be maitained till March, 2008.

Remark: indicates a book for which there is also a printed version
indicates documents which appear for first time in the current edition of this page.

General Mathematics	Number Theory	Algebra, Algebraic Geometry	Topology	Analysis
Geometry	Mathematical Physics	Probability Theory	Applied Mathematics	Miscellanea

New documents

Discrete Time Finance by Christian Ewald

Mathematical Finance: Introduction to Continuous Time Financial Market Models by Christian Ewald

Games, Fixed Points and Mathematical Economics by Christian Ewald

Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations by Lloyd N. Trefethen

The Boundary Element Method in Acoustics by Stephen Kirkup

Lectures on Algebra, Number theory, etc. by Sudhir R. Ghorpade

Mathematics under the Microscope by Alexandre Borovik

Algebra: Abstract and Concrete by Frederick M. Goodman

General Mathematics

elementary mathematics, Analysis, Lebesgue Integrals ..

Basic Concepts of Mathematics by Elias Zakon
Mathematical Analysis I by Elias Zakon
Calculus by Gilbert Strang, also Student Study Guide to Calculus and Instructor's Manual
Basic algebra and trigonometry. by Thomas Ward
First Year Mathematics, (notes by William Chen)
Multivariable Calculus by George Cain & James Herod
Complex Analysis by George Cain
Linear Algebra byJim Hefferon
Elementary Linear Algebra by Keith Matthews
A First Course in Linear Algebra by Robert A. Beezer (GNU Free Documentation License)
Measure Theory and Integration by V. Liskevich
MEASURE THEORY by D.H.Fremlin plain tex sources
Complex Analysis by Douglas N. Arnold
Real Analysis for Engineers by Erhan Cinlar and Robert J. Vanderbei
Set Theoretic Real Analysis by Krzysztof Ciesielski
Expository notes by Daniel Allcock in The finite reflection groups
Classical Geometry by Danny Calegari
Classical Geometry and Low-Dimensional Topology by Danny Calegari
Difference Equations to Differential Equations by Dan Sloughter
Course of linear algebra and multidimensional geometry by Ruslan Sharipov
Examples, Lecture Notes and Specimen Exam Questions and Natural Sciences Tripos
Calculus project of Michael Livshits
The Matrix Cookbook by Kaare Brandt Petersen
The Octonions by John C. Baez
Advanced Calculus by Shlomo Sternberg

Mathematical Logic and Set theory

Mathematical Logic - an Introduction by Michal Walicki
Set theory by Dr. P. G. Dixon
Mathematical Logic by Stephen G. Simpson
Foundations of Mathematics by Stephen G. Simpson
Model Theory by Stephen G. Simpson
The theory of the foundations of mathematics - 1870 to 1940
A Problem Course in Mathematical Logic by Stefan Bilaniuk
Computability and Incompleteness by Jeremy Avigad
Complete proofs of Gödel's Incompleteness Theorems
Fundamentals of Model Theory by William Weiss and Cherie D'Mello
Logic for Everyone by Robert A. Herrmann
For more logic lecture notes go to: ASSOCIATION FOR SYMBOLIC LOGIC members.
For more set theory materials go to: Set Theory Preprint Sites

Discrete Math

Lecture Notes on Discrete Mathematics by László Lovász

Number Theory

Introductory Number Theory

An Introduction to the Theory of Numbers by Leo Moser
Elementary Number Theory by W. Edwin Clark
Lecture notes on elementary number theory (Bruce Ikenaga)
exercizes with solutions on elementary number theory (Nigel Byott)
Naoki Sato's Number Theory Notes
Math 780: Elementary Number Theory, Notes by Michael Filaseta, 1997

p-adic numbers

Lecture notes on p-adic numbers (Andrew Baker)

Arithmetic Geometry

Draft of PCMI Lecture Notes on Open Questions in Arithmetic Algebraic Geometry (Alice Silverberg)

Fermat's Last Theorem

William Hammond's Fermat Archive
Notes on Fermat's Last Theorem, A.J. van der Poorten, Canadian Mathematical Society Series of Monographs and Advanced Texts, Wiley-Interscience, January, 1996, ISBN 0-471-06261-8
- Review of Alf van der Poorten's Notes on Fermat's Last Theorem by Andrew Granville

Algebraic Number Theory

A Computational Introduction to Number Theory and Algebra by Victor Shoup
A Course In Algebraic Number Theory by Robert B. Ash
Course Notes for elementary and algebraic number theory by Ivan Fesenko
Course Notes by Jim Milne: Algebraic Number Theory
Algebraic Number Theory, Course notes by Robin Chapman
Invitation to higher local fields, by Ivan Fesenko and Masato Kurihara (editors)
Survey of Euclidean Number Fields (ps file 371K) (Franz Lemmermeyer)
Algebra and Number Theory by Andrew Baker
Elementary Number Theory by William A. Stein
Notes for Dick Gross' Algebraic Number Theory Course by S. Sather-Wagstaff
Algebraic Number Theory & Introduction to Automorphic L-functions by Ching-Li Chai
Lecture notes on Algebraic Number Theory by Jerome Hoffmann
Introduction to Number Theory by Franz Lemmermeyer

Analytic Number Theory

Distribution of Prime Numbers, Lecture notes by William Chen
Course notes for analytic number theory (Graham Everest) (ps 442K)
Introduction to Analytic Number Theory by Noam Elkies

Algebra, Algebraic Geometry

Algebra, Abstract

Lectures on Matrices by J. H. M. Wedderburn
Elementary Abstract Algebra by Edwin Clark
Intro to Abstract Algebra by Paul Garrett
Elements of Abstract and Linear Algebra by Edwin H. Connell
Abstract Algebra:The Basic Graduate Year by Robert Ash
A Course In Commutative Algebra by Robert Ash
Notes for geometric group theory course, by John R. Stallings
Advanced Linear Algebra lecture notes by Keith Matthews (with real algorithm for the real Jordan form)
Commutative algebra by Ivan Fesenko
Abstract Algebra - Number Theory, Group Theory, Galois Theory by Daviiddd Wilkins
Workbook in Higher Algebra by David Surowski with index, many exercises
Abstract group theory Papers and Notes by Chuck Miller
The Classification of the Finite Simple Groups by Daniel Gorenstein, Richard Lyons, and Ronald Solomon
Group Characters, Symmetric Functions, and the Hecke Algebra by David M. Goldschmidt
Finite Groups and their Representations by Andrew Baker
Classical Groups by Peter Cameron
Galois theory by Miles Reid
Toeplitz and Circulant Matrices by R. M. Gray
Homogeneous spaces and equivariant embeddings by Dmitri A. Timashev

Differential Algebra by Joseph Fels Ritt
Structure and Representations of Jordan Algebras by Nathan Jacobson
An Invitation to General Algebra and Universal Constructions, by George M. Bergman
A Course in Universal Algebra by Stanley N. Burris and H.P. Sankappanavar
Fundamental Problems in Algorithmic Algebra by Chee Yap
Braid groups and Galois theory by Frazer Jarvis
A. N. Whitehead's Universal Algebra by Stephen Blake
Varieties of Lattices by Peter Jipsen and Henry Rose
Commutator Theory for Congruence Modular Varieties by Ralph Freese and Ralph McKenzie
Constructive Aspects of the Inverse Galois Problem by C. Jensen, A. Ledet, and N. Yui
Publications and prepublications about braids

Algebraic Geometry

Algebraic geometry and projective differential geometry by Joseph M. Landsberg
Introduction to Algebraic Geometry, Igor V. Dolgachev
Notes on Algebraic Geometry, J.S. Milne.
Introduction to Algebraic Geometry by Yuriy Drozd
Undergraduate tutorial on modular forms by Marty Weissman
Modular forms (Igor Dolgachev)
Complex analytic and algebraic geometry - Jean-Pierre Demailly
Moduli Spaces in Algebraic Geometry edited by L. Goettsche
Algebraic Curves by Hendrik L. Lenstra
Lectures by David A. Cox - Introduction to Algebraic Geometry, Minicourse on Toric Varieties, etc.
Quasi-projective Moduli for Polarized Manifolds by Eckart Viehweg
Lectures on Vanishing Theorems by Hélène Esnault, Eckart Viehweg
Introduction to Algebraic Geometry by Ravi Vakil
Determinantal rings by Winfried Bruns and Udo Vetter
Simplification of Hironaka's resolution of singularities by János Kollár
Eleven books on geometry, topology, and algebra by Andrew Ranicki

Elliptic Curves

Elliptic curves by Miles Reid
Elliptic curves, student project, Annegret Weng (ps 726K)
Arithmetic on hyperelliptic curves, Annegret Weng (ps 148K)
Course Notes by Jim Milne: Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology
The Modular curves X₀(N), Lecture notes by Bas Edixhoven
Expository articles - Computing rational points on curves, Elliptic curves by Bjorn Poonen

Category Theory

A Gentle Introduction to Category Theory, by Maarten M.Fokkinga
Mixed Motives by Marc Levine
Chris Hillman's Eprints has a concise introduction to category theory.
David Madore's Math Page has a 50 page treatise on categories, in DVI and PS.
Lecture notes on Categories, Derived Categories, Homological Algebra by Pierre Schapira
Toposes, Triples and Theories by Michael Barr and Charles Wells
Higher-Dimensional Categories: an illustrated guide book by Eugenia Cheng and Aaron Lauda
Abstract and Concrete Categories by J. Adamek, H. Herrlich, G. Strecker
Higher Operads, Higher Categories by Tom Leinster

Lie Algebras

Algebraic Groups and Discontinuous Subgroups by Armand Borel and George D. Mostow
Theory of representations etc. by Claudio Procesi
Semisimple Lie Algebras and their Representations, by Robert N. Cahn,
Linear Algebraic Groups - minor thesis by David Dumas
Lie Algebras by Shlomo Sternberg

Topology

Textbook in Problems on Elementary Topology by O.Ya.Viro, O.A.Ivanov, V.M.Kharlamov and N.Y.Netsvetaev unfinished
Topology Course Lecture Notes by Aisling McCluskey and Brian McMaster
Topology lecture notes(3rd year) by Thomas Ward
Foliations and the topology of 3-manifolds by Danny Calegari

Algebraic Topology

Allen Hatcher's homepage has a (nearly complete) textbook.
Introduction to Sheaf Theory and Algebraic Topology, by Pierre Schapira
Cohomology, Connections, Curvature and Characteristic Classes by David Mond
Introduction to Characteritic Classes and Index Theory by Jean-Pierre Schneiders

Algebraic Topology by Solomon Lefschetz, AMS 1942, 389 pp.
Abstract group theory and topology articles by Walter Neumann

K-Theory

An introduction to algebraic K-theory, by Charles Weibel.

Knots

Knots Knotes. by J. D. Roberts
Vassiliev invariants and combinatorial structures by S.V.Duzhin
Introduction to Vassiliev knot invariants by S.Chmutov, S.Duzhin
Collection: "History of Knot Theory" by Andrew Ranicki
Lecture Notes On Knot Theory by Swatee Naik
Knot theory from Vandermonde to Jones by Jozef H. Przytycki

Analysis

Homeomorphisms in Analysis by Casper Goffman, Togo Nishiura, and Daniel Waterman
Why the Boundary of a Round Drop Becomes a Curve of Order Four by A. N. Varchenko and P. I. Etingof
Lectures on Entire Functions by B. Ya. Levin
Constructive Real Numbers and Constructive Function Spaces by N. A. Sanin
Complex Variables by Robert B. Ash and W.P. Novinger
Foundations of Nonstandard Analysis by Erland Gadde
Analytic functions by Stanislaw Saks, Antoni Zygmund
Theory of Functions of real variable by Shlomo Sternberg

Functional Analysis

Functional Analysis by Douglas N. Arnold
Paul Garrett's lecture notes
Functional Analysis (3rd year) lecture notes by Thomas Ward
Functional Analysis and Semi-Groups by Einar Hille and R. S. Phillips, AMS 1957, 808 pp
The Convenient Setting of Global Analysis by Andreas Kriegl and Peter W. Michor, AMS 1997, 618pp
Hilbert Space Methods for Partial Differential Equations, by R.E. Showalter
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations, by R. E. Showalter
Harmonic Analysis and Partial Differential Equations - Björn E.J. Dahlberg and Carlos E. Kenig
Functional Analysis by Thomas Ward
Harmonic Function Theory by Sheldon Axler, Paul Bourdon, and Wade Ramey printing disabled
An Introduction to C*-Algebras by Pierre de la Harpe and Vaughan Jones
Functional Analysis by Dr. P. G. Dixon
Introduction to Microlocal Analysis by Richard Melrose

Bernoulli Periodic distributions Notes by Miguel Lerma
Holomorphic Methods in Analysis and Mathematical Physics by Brian C. Hall

Differential Equations

Nonlinear Analysis and Ordinary Differential Equations by Klaus Schmitt
Ordinary Differential Equations and Dynamical Systems by Gerald Teschl
Ordinary Differential Equations Notes by Sheldon Newhouse
Partial Differential Equations by William W. Symes
Lectures on analytic differential equations by Yulij Ilyashenko and Sergei Yakovenko
Exterior Differential Systems and Euler-Lagrange Partial Differential Equations by Robert L. Bryant, Phillip A. Griffiths, Daniel A. Grossman
Monograph on quasilinear partial differential equations by Marco Squassina

Geometry

Differential Geometry

Introduction to Tensor Calculus and Continuum Mechanics, by John H. Heinbockel
Topics in Differential Geometry, Peter W. Michor.
Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor
Intrinsic Geometry of Surfaces by A. D. Aleksandrov and V. A. Zalgaller
An Introduction to Riemannian Geometry - Sigmundur Gudmundsson, Lund University
Riemann Surfaces, Dynamics and Geometry Curtis McMullen
Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem by Peter B. Gilkey
Differentiable Manifolds lecture notes (growing) by Mariusz Wodzicki
Lecture notes for the course in Differential Geometry by Sergei Yakovenko
Lectures On Symplectic Geometry with and Eye Toward Combinatorics by Sue Tolman
Differential Geometry lecture notes by Gabriel Lugo
Differential geometry reconstructed by Alan U. Kennington
Course of Differential Geometry by Ruslan Sharipov
A Modern Course on Curves and Surfaces by Richard S. Palais
Undergraduate notes on Projective Geometry, Manifolds etc. by Nigel Hitchin
Vector Bundles and an Introduction to Gauge Theory by Steven Bradlow, (Hung-Jen Hsu and Chris Willett)
Twistor Geometry and Gauge Theory by Martin Wolf
Complex Geometry of Nature and General Relativity by Giampiero Esposito

Geometric Asymptotics by Victor Guillemin and Shlomo Sternberg
Projective Geometry by Balázs Csikós
Differential Geometry by Balázs Csikós
Projective and Polar Spaceas by Peter Cameron
Transformation groups for begginers by S. V. Duzhin and B. D. Tcherbotarevsky

Cartan's Corner Differential geometry & Topology

Mathematical Physics

Dynamics

Mechanism of the Heavens (1831), by Mary Somerville. This second edition was prepared by Russell McNeil
Dynamical Systems George D. Birkhoff, AMS 1927, 305 pp.
Dynamics in One Complex Variable: Introductory Lectures, John Milnor
Geometrical theory of dynamical systems by Nils Berglun
Lectures on Mechanics, Dynamics, and Symmetry by Jerrold E. Marsden
Introduction to Statics and Dynamics by Andy Ruina and Rudra Pratap

Entropy

Entropy on the World Wide Web has links to expository articles, journals, software, and conferences pertaining to entropy.
Dynamical Systems and Ergodic Theory, by Mark Pollicott and Michiko Yuri see also
Entropy of Compact Group Automorphisms by Thomas Ward
Valuations and Hyperbolicity in Dynamics by Thomas Ward
Lecture Notes on Mechanics, Probability and Irreversibility by Alexandre J. Chorin
Effective Hamiltonians and averaging for Hamiltonian dynamics - Lawrence Craig Evans
Entropy and partial differential equations - Lawrence Craig Evans
CLASSICAL AND QUANTUM CHAOS by Predrag Cvitanovic'
Dynamical systems by Shlomo Sternberg

Quantum Mechanics

Schrödinger Operators by Gerald Teschl
Quantum Mechanics by Klaus Schulten
lecture notes in Quantum Mechanics by Scott Pratt
ADVANCED QUANTUM MECHANICS by Jouko Mickelsson
Foundations of Quantum Mechanics & Quantum Information by M.B. Plenio
Quantum Geometry and more by Micho Durdevich
Quantum Probability Theory by Miklos Redei, Stephen J. Summers

Quantum Field Theory

Comprehensive textbook on quantum (and classical) field theory by Warren Siegel
Quantum Field Theory by Ben Simons
Mathematical ideas and notions of quantum field theory by Pavel Etingof
Introduction to Algebraic and Constructive Quantum Field Theory by John C. Baez, Irving E. Segal and Zhengfang Zhou scanned pdf. extermely big 200 megabytes
Lecture Notes from the Quantum Field Theory program at IAS, 1996-1997
Books by Warren Siegel
Introduction to String Theory by Igor V. Dolgachev
What is String Theory by Joseph Polchinski
Fluctuating Geometries in Statistical Mechanics and Field Theory Les Houches Session LXII
Operator Algebras and Quantum Statistical Mechanics, Volumes I & II by Ola Bratteli
D-Brane Primer by Clifford V. Johnson
Introduction to Superstring Theory by Elias Kiritsis
Algebraic Quantum Field Theory by Hans Halvorson, Michael Mueger

Condensed Matter

Worked examples in the Geometry of Crystals by HKDH Bhadeshia
Introduction to Solid-State Physics; Many-Body Theory by Chetan Nayak
Concepts of Theoretical Solid State Physics by Alexander Altland
Many-Body Physics by Piers Coleman
Theory of Superconductivity by Helmut Eschrig
High-Temperature Superconductivity by Peter Hirschfeld
Solid State Physics Notes, Problem Sets, & Tests by Peter Hirschfeld
Complex Surphaces in Materials Science with few books

Special and General Relativity

Special Relativity on the World Wide Web. Tutorials, lecture notes, and computer simulations.
Mechanics and Special Relativity introductiry textbook by David Morin
SERGIU KLAINERMAN General Relativity, Nonlinear PDEs, etc.
Special Relativity and Geometry by C. E. Harle, R. Bianconi
Differential Geometry (and Relativity) notes by Bob Gardner
Lecture Notes on General Relativity by Sean M. Carroll
General Relativity and Quantum Cosmology by Sean M. Carroll
Public lectures by Stephen Hawking and Roger Penrose

Physics

Essential Physics 1 by Frank Firk
Introduction to Groups, Invariants & Particles by Frank W.K. Firk
Classical Electrodynamics by Bo Thidé
Classical electrodynamics and theory of relativity by Ruslan Sharipov
Electromagnetic Theory and Computation: A Topological Approach by Paul W. Gross and P. Robert Kotiuga
MOTION MOUNTAIN TEXTBOOK Hiking beyond space and time along the concepts of modern physics by Christoph Schiller
Fundamentals of Thermodynamics by J. Karl Johnson
Non-Equilibrium Statistical Mechanics by Klaus Schulten
Course in Electrodynamics by Franz Wegner
Light and Matter by Ben Crowell
Order-of-magnitude-physics a book by Sanjoy Mahajan
A Brief Introduction to Physics for Mathematicians, Igor V. Dolgachev
Physical Applications of Geometric Algebra by Anthony Lasenby and Chris Doran
Group Theory for Physicists by Predrag Cvitanovic'
An Elementary Introduction to Groups and Representations by Brian C. Hall
Geometric Models for Noncommutative Algebras by A. Cannas da Silva and A. Weinstein
Teaching electromagnetic field theory using differential forms by K.Warnick,R.Selfridge and D.Arnold
Lectures on integration of several variables by Michael Adler
Methods of Mathematical Physics by Mark Trodden
Concepts in Theoretical Physics by Ben Simons
Further Mathematical Methods by Niels Walet
Computational Physics by Angus MacKinnon

Zeno meets modern science by Zurab K. Silagadze

Feynman's derivation of Maxwell equations and extra dimensions by Zurab K. Silagadze

TeV scale gravity, mirror universe, and ... dinosaurs by Zurab K. Silagadze

Quick introduction to tensor analysis by Ruslan Sharipov

Traveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert, AMS 1994, 455 pp.

SunySB guide - A Collection of Lecture Notes in theoretical physics

Probability Theory

Introduction to Probability, by Charles Grinstead & J. Laurie Snell

Probability.Net Tutorials by Noel Vaillant

Probability Theory: The Logic of Science, by Edwin Thompson Jaynes

Probability Theory As Extended Logic collection of articles and books by Larry Bretthorst

Introduction to Probability, by Oliver Knill

Probability Theory As Extended Logic Comprises many documents!

Random Walks and Diffusion Lecture Notes by Martin Z. Bazant

Reversible Markov Chains and Random Walks on Graphs by Aldous and Fill (monograph in preparation)

An Invitation to Sample Paths of Brownian Motion

Notes on probability theory by H. W. Lenstra

An introduction to stochastic differential equations - Lawrence Craig Evans

Stochastic Calculus Notes by Alan Bain

Probability Theory by S.R.S.Varadhan

Statistics by S.R.S.Varadhan

Stochastic Processes by S.R.S.Varadhan

Lectures on Stochastic Analysis by Thomas G.Kurtz

Stochastic Integration and Stochastic Differential Equations by Klaus Bichteler

Notes on Hilbert Spaces, Fourier Transform and Probability by Pierre Brémaud

Probability, Random Processes, and Ergodic Properties by R.M. Gray

Markov Chains and Stochastic Stability by S.P. Meyn and R.L. Tweedie

Applied Mathematics

Numerical Analysis

Numerical Analysis Notes by Lucio Tavernini
An Introduction to Multigrid Methods by Pieter Wesseling
Finite Element Method/Boundry Element Method by Peter Hunter
Numerical Recipes by William H.Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods by Barrett, Richard
Numerical Analysis at the University of Cambridge
Numerical Mathematics and Scientific Computation by Germund Dahlquist and Åke Björck

Lecture Notes on Optimization by Pravin Varaiya
Computational geometry, mesh generation, numerical methods by Jonathan Shewchuk
Numerical Analysis by Steven Elliot Pav
Convex Optimization by Stephen Boyd and Lieven Vandenberghe

Information Theory

Information Theory, Inference and Learning Algorithms. A Textbook by David J.C. MacKay
A Short Course in Information Theory - 8 lectures by David J.C. MacKay
Primer on Information Theory by Thomas Schneider
Several books ! by G. J. Chaitin (not only Information Theory)

Financial mathematics

Applied Quantitative Finance by W. Härdle, T. Kleinow, G. Stahl printing disabled
Also other non-printable books on the same page
Measure theory, Probability, Stochastic calculus, General theory of processes, Financial mathematics lectures notes by Rich Bass
Lectures on Stochastic Calculus and Finance by Steven Shreve
Structural Analysis of Discrete Data and Econometric Applications, editors: Ch. Manski, D. McFadden
Handbook of Econometrics, editiors: J. J. Heckman, E. Leamer and R. Blundell
Essential Principles of Economics by Roger McCain
Game theory examples by Roger McCain (html)

Game Theory

Gametheory.net with lectures on the subject
Determinacy in infinite games by Jindrich Zapletal

Derivations of Applied Mathematics by Thaddeus H. Black (GNU Free Documentation License)

Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.

Linear Algebra, Infinite Dimensions, and Maple by James Herod

generatingfunctionology by Herbert Wilf

Algorithms and Complexity by Herbert S. Wilf

A=B by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger

Applied Math Textbook, by Sean Mauch beta version (unfinished)

Mathematical Tools for Physics by James Nearing

Applied Mathematics by Peter J. Olver and Chehrzad Shakiban

Surveys in Combinatorics

Complexity Theory by Oded Goldreich

Papers on Combinatorial Enumeration and Asymptotics by Andrew Odlyzko

Hyperplane Arrangements by Richard Stanley

Cryptography

Handbook of Applied Cryptography, by Alfred J. Menezes , Paul C. van Oorschot, and Scott A. Vanstone
Foundations of Cryptography
Lecture Notes on Cryptography
Cryptography and Network Security
Cryptography and Cryptanalysis Lecture notes
Modern Cryptography
Cryptography and Cryptanalysis by Glenn Durfee
Lecture Notes on Cryptography by S. Goldwasser and M. Bellare

Introduction to Statistical Signal Processing by R.M. Gray and L.D. Davisson

Miscellanea

What is and what will be: Integrating spirituality and science
book on the foundations of mathematics by Paul P. Budnik

Fractals

Fractals in the Plane - the Ergodic Theory Methods by F. Przytycki and M. Urbanski
Lecture notes in Conformal Dynamics, taught by Curt McMullen.
Fractals by Dr. P. G. Dixon

Graph Theory

Graph Theory with Applications by J.A. Bondy and U.S.R. Murty
Graph Theory by Reinhard Diestel printing disabled
Interactive Graph theory tutorials by Chris K. Caldwell must register to use

Coxeter groups

Mirrors and Reflections: The Geometry of Finite Reflection Groups by Alexandre V. Borovik, Anna s. Borovik
Miscellaneous facts about Coxeter groups by Robert B. Howlett
Buildings, BN-pairs, Hecke algebras, classical groups by Paul Garrett

Nielsen Fixed Point Theory

Ross Geoghegan's Home Page has a set of papers

Permutation Puzzles

Mathematics of Rubik's cube by David Joyner is a good source for discrete group theory with applications to permutation puzzles.

How to prepare documents? TEX,LATEX etc.

Formatting information - A beginner's introduction to typesetting with LaTeX by Peter Flynn
TeX by Topic the TeXbook of Victor Eijkhout
LaTeX2e for authors
Mathematical Illustrations, a manual of geometry and postscript by Bill Casselman

The TeXbook by Donald Knuth is the most comrehensive book about TEX (tex source)
The METAFONTbook is also downloadable (tex source)
The last two books are copyrighted and you are not supposed to compile them. These files are, in fact, much more than sources of textbooks. They are invaluable examples of TeX input.

Last edited: June, 1, 2007

Online Mathematics Textbooks

6370243 — Tue, 19 Jun 2007 15:06:49 GMT

Online Mathematics Textbooks

Professor Jim Herod and I have written Multivariable Calculus ,a book which we and a few others have used here at Georgia Tech for two years. We have also proposed that this be the first calculus course in the curriculum here, but that is another story....
Although it is still in print, Calculus,by Gilbert Strang is made available through MIT's OpenCourseWare electronic publishing initiative.
Here is one that has also been used here at Georgia Tech. Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.
Yet another one produced at Georgia Tech is Linear Algebra, Infinite Dimensions, and Maple, by James Herod.
One more recent one by Professor Herod is Partial Differential Equations.
I have also written a modest book, Complex Analysis, which I have used in our introductory undergraduate complex analysis course here.
Complex Variables , by Robert Ash and W. P. Novinger. This is a substantial revision of the first edition of Professor Ash's complex variables text originally published in 1971.
Professor E.H. Connell of the University of Miami has made available on the web his book Elements of Abstract and Linear Algebra. You should read his insightful comments about textbooks.
An introductory algebraic topology book, Algebraic Topology I, by Professor Allen Hatcher, of Cornell University, is available, and Professor Hatcher promises the second volume, Algebraic Topology II, will be ready soon.
The Geometry and Topology of Three-Manifolds, by William Thurston. This is an electronic edition of the 1980 lecture notes distributed by Princeton University.
Professor Jim Hefferon of Saint Michaels's College has made available his undergraduate textbook Linear Algebra.
Another elementary linear algebra textbook is Elementary Linear Algebra, by Keith Matthews.
Introduction to Probability, by Charles Grinstead & J. Laurie Snell.
An Introduction to Probability and Random Processes, by Gian-Carlo Rota and Kenneth Baclawski. This is the 1979 manuscript of the work Professor Rota had been working on for some time. It is made available through the efforts of David Ellerman.
Professor Herbert Wilf (and the publisher, A. K. Peters) has made available his book generatingfunctionology.
Another one by Professor Wilf is Algorithms and Complexity.
A = B, by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger. This one is also available in print and is available online with the blessing of the publisher, A. K. Peters, Ltd..
Perhaps the greatest textbook of them all is Euclid's Elements.
Originally published by Springer-Verlag, the book A Course in Universal Algebra, by Stanley Burris, and H. P. Sankappanavar, is available online.
Professor Robert Ash has written and made available Abstract Algebra:The Basic Graduate Year.
Another one by Professor Ash is A Course In Algebraic Number Theory.
Professor Ash has also completed and made available A Course in Commutative Algebra.
The Calculus Bible is an elementary calculus textbook from Professor G. S. Gill of the Brigham Young University Mathematics Department.
Calculus Without Limits, by John C. Sparks.
Originally published by Prindle, Weber & Schmidt but currently out of print, Elementary Calculus: An Approach Using Infinitesimals, by Professor H. Jerome Keisler, is now freely available online.
Handbook of Applied Cryptography, by Alfred J. Menezes , Paul C. van Oorschot, and Scott A. Vanstone, is freely available thanks to the publisher, CRC Press.
Graph Theory, by Reinhard Diestel.
Available for self-study from The Trillia Group is Basic Concepts of Mathematics, by Elias Zakon.
Another one from The Trillia Group is An Introduction to the Theory of Numbers by Leo Moser.
Yet another from The Trillia Group is Mathematical Analysis I, by Elias Zakon.
Thanks to Malaspina Great Books, Mechanism of the Heavens (1831), by Mary Somerville, is available online. This second edition was prepared by Russell McNeil.
Lecture Notes on Optimization, by Pravin Varaiya. This is a re-issue of a book out of print since 1975. It is an introduction to mathematical programming, optimal control, and dynamic programming.
A Manual of Mathematical Ilustration, by Bill Casselman, shows, at several levels of sophistication, how to use PostScript for producing mathematical graphics.
Chebyshev and Fourier Spectral Methods (2nd. Edition), by John P. Boyd. This is the free online version of the Dover 2001 edition.
A Problem Course in Mathematical Logic, by Stefan Bilaniuk .
Concepts and Applications of Inferential Statistics, by Richard Lowry.
To be published soon by Cambridge University Press, A Computational Introduction to Number Theory and Algebra, by Victor Shoup will nevertheless remain freely available on-line.
Out of print for sometime, but freely available is Graph Theory with Applications, by J. A. Bondy and U. S. R. Murty.
Yet another one out of print, but now freely available is Convergence of Stochastic Processes, by David Pollard.
Designed for undergraduate physics students is Mathematical Tools for Physics, by James Nearing.
Elementary Number Theory, by William Stein.
A Modern Course on Curves and Surfaces, by Richard Palais.
A First Course in Linear Algebra, by Rob Beezer.
Group Theory, by Pedrag Civitanovic.
Shlomo Sternberg has written Theory of Functions of a Real Variable.
Lie Algebras is another one by Professor Sternberg
Yet another one by Professor Sternbergis Semi-Riemann Geometry and General Relativity
Advanced Calculus, by Lynn Loomis and Schlomo Sternberg
Originally published by Springer-Verlag and now out of print, Non-Uniform Randon Variate Generation, by Luc Devroye is now, thanks to the author, freely available.
Difference Equations to Differential Equations, by Dan Sloughter.
The Calculus of Functions of Several Variables is another one by Professor Sloughter.
Notes on Differential Equation, by Bob Terrell.
Sets, Relations, Functions, by Ivo Düntsch and Günther Gediga.
Another one by Düntsch and Gediga is Rough Set Data Analysis.
Predicative Arithmetic, by Edward Nelson.
Toposes, Triples and Theories, by Michaele Barr and Charles Wells.
Information Theory, Inference, and Learning Algorithms, by David J. C. MacKay is published by Cambridge University Press, but is, nevertheless, freely available online.
Linear Partial Differential Equations and Fourier Theory , by Marcus Pivato.
Another one by Professor Pivato is Voting, Arbitration, and Fair Division: The Mathematics of Social Choice.
Introduction to Vectors and Tensors, Volume 1, Linear and Multilinear Algebra, and Introduction to Vectors and Tensors, Volume 2, Vector and Tensor Analysis by Ray M. Bowen and C.-C.Wang, are revised versions of books originally published by Plenum Press in 1976.
Another one by Professor Bowen and originally published by Plenum Press is Introduction to Continuum Mechanics for Engineers.
Numerical Methods and Analysis for Engineers, by Douglas Wilhelm Harder.
Analysis of Functions of a Single Variable, by Lawerence Baggett, was originally written to be used for a one semester senior course, but the author suggests that it is more appropriate for first year graduate students.
Convex Optimization, by Stephen Boyd, and Lieven Vandenberghe is freely available thanks to Cambridge University Press.
Mathematics Under the Microscope, by Alexandre Borovik, is, according to the author, an attempt "to start a dialogue between mathematicians and cognitive scientists."
Introduction to Statistical Signal Processing, by R. M. Gray and L. D. Davisson is, according to Professor Gray, a "...much revised version of the earlier text Random Processes: An Introduction for Engineers, Prentice-Hall, 1986, which is long out of print." The current book is published by Cambridge University Press.
Not simply an online textbook, but certainly in the same spirit is the Topology Webcourse project undertaken by Topology Atlas.
This is, I suppose, not a textbook, but nevertheless an interesting reference: The Matrix Cookbook, by Kaare Brandt Petersen, and Michael Syskind Pedersen.
Not really a textbook either, Constants, by Steven Finch, is, nevertheless, a nice collection of essays. The title pretty much describes the subject.

George Cain
School of Mathematics
Georgia Institute of Technology
cain@math.gatech.edu

12 March 2007

کتاب رایگان ریاضی

6370243 — Tue, 19 Jun 2007 15:05:56 GMT

Home	American Libraries \| Canadian Libraries \| Open Source Books \| Project Gutenberg \| Children's Library \| Additional Collections


Search: Advanced Search	UploadAnonymous User (login or join us)

A course in mathematical analysis (Volume 1) (c1904-c17)

A course in mathematical analysis (c1904-c17)

Author: Goursat, Edouard, 1858-1936
Published: 1904
Digitizing Sponsor: University of California Libraries
Book Contributor: University of California Libraries
Language: English
Keywords: Calculus

Vol. 1

Be the first to write a review Reviews

Downloaded 1,367 times

Selected Metadata

Identifier	coursemathanalys01gourrich
Title	A course in mathematical analysis
Creator	Goursat, Edouard, 1858-1936
Creator	Hedrick, E. R. (Earle Raymond), 1876-1943, tr
Creator	Dunkel, Otto, 1869- joint tr
Media Type	texts
Date	c1904-c17
Public Date	2006-03-21 02:53:48
Contributor	University of California Libraries
Publisher	Boston, New York [etc.] Ginn & Company
Language	eng
Possible Copyright Status	NOT_IN_COPYRIGHT
Copyright Region	US
Copyright Evidence	Evidence reported by scanner-julie-l for item coursemathanalys01gourrich on Mar 20, 2006; visible copyright symbol and date; stated date is 1904; the country of the source library is the United States; not published by the US government.
Copyright Evidence Date	2006-03-20 19:50:52
Call Number	201524
Image Count	578

مقالات ریاضی وتحقیقات ریاضی

سایت بورسیه برای فوق لیسانس و دکترا

Returning User's Login

Success Stories

Welcome to Scholarships.comTM

Start Your Free Scholarship Search Here

Recognized by 16,751 high schools and6,951 colleges and universities nationwide!

Search Free, Avoid Scams,Find Money for College!

More Student Loan Choices:

سایت برای بورسیه

Login!

Welcome Back to FastWeb!

Returning Users: Login

For more than 10 years:

Popular FastWeb Links

کتاب های رایگان درسی ریاضی دانشگاهی

کتاب های رایگان درسی ریاضی دانشگاهی

Online Mathematics Textbooks

کتابخانه ریاضی

Electronic Books in mathematics

Lists at other sites

general mathematics resources

mathematics

Free Hebrew Books in Mathematics

Free Hebrew Books in Mathematics

Free books by other authors

Links to Mathematics Books Online

Textbooks in Mathematics

Textbooks in Mathematicsat geocities or ICTP

New documents

General Mathematics

Number Theory

Algebra, Algebraic Geometry

Topology

Analysis

Geometry

Mathematical Physics

Probability Theory

Applied Mathematics

Miscellanea

How to prepare documents? TEX,LATEX etc.

Online Mathematics Textbooks

Online Mathematics Textbooks

کتاب رایگان ریاضی

View the book

Resources

A course in mathematical analysis (Volume 1) (c1904-c17)

Be the first to write a review Reviews

Downloaded 1,367 times

Selected Metadata

Welcome to Scholarships.com^TM

Recognized by 16,751 high schools and
6,951 colleges and universities nationwide!

Search Free, Avoid Scams,
Find Money for College!

Textbooks in Mathematics
at geocities or ICTP