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         Number Theory:     more books (100)
  1. Number Theory in the Spirit of Ramanujan by Bruce C. Berndt, 2006-09-15
  2. Recreations in the Theory of Numbers by Albert H. Beiler, 1964-06-01
  3. An Invitation to Modern Number Theory by Steven J. Miller, Ramin Takloo-Bighash, 2006-03-06
  4. Elementary Number Theory, 6th Edition by David M. Burton, 2005-09-27
  5. History of the Theory of Numbers, Volume I: Divisibility and Primality (History of the Theory of Numbers) by Leonard Eugene Dickson, 2005-06-03
  6. Number Theory Through Inquiry (Maa Textbooks) (Maa Textbooks) by David C. Marshall, Edward Odell, et all 2007-12-06
  7. Algebraic Number Theory (Graduate Texts in Mathematics) by Serge Lang, 2000-07-19
  8. Experimental Number Theory (Oxford Graduate Texts in Mathematics) by Fernando Villegas, 2007-07-19
  9. A Computational Introduction to Number Theory and Algebra by Victor Shoup, 2005-06-06
  10. Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger by Pierre Samuel, 2008-04-18
  11. Topics in Number Theory, Volumes I and II by William J. LeVeque, 2002-11-07
  12. Algebraic Number Theory and Fermat's Last Theorem by Ian Stewart, David Tall, 2001-12-01
  13. Elementary Number Theory with Applications, Second Edition by Thomas Koshy, 2007-05-08
  14. Number Theory for Computing by Song Y. Yan, 2002-06-10

21. Pell
Worked on algebra and number theory, gave a table of factors of all integers up to 100000 in 1668. Pell's equation is y^2 = ax^2 + 1, where a is a nonsquare integer.
John Pell
Born: 1 March 1611 in Southwick, Sussex, England
Died: 12 Dec 1685 in London, England
Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
After attending Steyning School in Sussex, John Pell entered Trinity College, Cambridge in 1624. He received his B.A. in 1628 and his M.A. in 1630. After leaving Cambridge, Pell became a schoolmaster. He worked first in Horsham, then in Chichester. He spent five years from 1638 teaching mathematics in London. He then went abroad becoming Professor of Mathematics at a College in Amsterdam from 1643 until he took up a similar post the University of Breda in 1646. Pell returned to England in 1652 and was appointed by Oliver Cromwell to a post teaching mathematics in London. He spent the years 1654 to 1658 holding a government post in Zurich. On his return to England became a vicar and remained in this position in the church for the last 20 years of his life. Pell worked on algebra and number theory . He gave a table of factors of all integers up to 100000 in 1668. Pell's equation y ax + 1, where a is a non-square integer, was first studied by

22. Journal Of Number Theory
The Journal of number theory was founded at The Ohio State University in 1969 by Professors RP Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus.
The Journal of Number Theory was founded at The Ohio State University in 1969 by Professors R.P. Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus. Editor-in-Chief: David Goss Managing Editor: Ranko Bojanic For more information, including a list of editorial board members and author instructions, please see Elsevier
Susan Hunter
Department of Mathematics
The Ohio State University
231 West 18th Avenue
Columbus, Ohio 43210-1174
Phone: (614) 292-7670

23. Magma Computational Algebra System Home Page
Comprehensive system for algebra, number theory and geometry. Can work with polynomials, matrices, groups, rings, fields, modules, lattices, algebras, graphs, codes, and curves.
The Magma Computational Algebra System
Algebra, Number Theory and Geometry
Magma is a large, well-supported software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics. It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric and geometric objects. Recent Notices: May 31, 2004: Magma version V2.11 has now been released. Registered users may now download V2.11 for Mac (OS X), PC (Linux) and Sparc (Solaris) from here here for example timings. About Magma What's New Magma on-line help FAQ ... Online Magma Calculator (external link) Magma is produced and distributed by the Computational Algebra Group within the School of Mathematics and Statistics of the University of Sydney.

24. Inexplicable Secrets Of Creation
Relationships between number theory and physics.
"Upon looking at these numbers, one has the feeling of being in the presence of one of the
inexplicable secrets of creation
[D. Zagier]
mysterious occurrences on the interface of physics and number theory
introductory prime number theory resources related curiosities guest book ...
a message about the future of this website

25. Springer-Verlag - Number Theory & Combinatorics
Neal Koblitz. An algorithmic approach that covers basic arithmetic topics all the way to elliptic curves.

26. Number Theory Glossary
number theory Glossary. Abelian Group An abelian group is a group whose operation is commutative, ie a * b = b * a . An example of
Number Theory Glossary
Abelian Group
An abelian group is a group whose operation is commutative, ie a b b a . An example of an abelian group is the integers with the usual addition operation. An example of a group which is not abelian is the rotations of a cube (try it out). When dealing with an abelian group is it conventional to denote the group operation as addition (+), rather than multiplication (*) and to denote the unit element as rather than 1.
Carmichael Number
A Carmichael Number is a composite number which passes the Fermat pseudoprime test for all bases. There are an infinite number of Carmichael numbers - the smallest is 561=11*17*3.
A composite number has non-trivial factors (ie factors other than itself and 1). Thus 13 is prime but 15=3*5 is composite. A number which is not composite is called prime . A polynomial which has non-trivial factors is called reducible
Euler Pseudoprime Test
A more effective pseudoprime test than the simpler Fermat test . A number N is called an Euler pseudoprime to base b if b N b N ) (mod N ). (Here (

27. Mathematics Archives MSDOS Software For Number Theory
Math Archives Homepage Windows/MSDos Software Collection for number theory. The following icons indicate the type of package Freeware or Public Domain.
Windows/MSDos Software Collection for Number Theory The following icons indicate the type of package: Freeware or Public Domain Shareware with all features enabled Shareware with some features disabled Commercial Software Demo of Commercial Software
List of Packages
GP-PARI for DOS and OS/2
MPQSHD prime factorization program
Malm - a collection of UBASIC programs
NUMBERS calculator
This collection is maintained by Larry Husch . If you know of any Windows/MSDOS programs which are not listed in this collection and which you think are useful in the teaching of mathematics, then write Larry You are invited to submit materials to be stored on the Mathematics Archives; this may include software, reviews of software or teaching materials utilizing technology. For more information on uploading materials, read this

28. Pushpa Publishing House, Allahabad, Uttar Pradesh India
(Pushpa) Table of contents and abstracts from vol.1 (2001).
Vijaya Niwas, 198 Mumfordganj Allahabad - 211002, India The Pushpa Publishing House announces (i) Volume 14(2004) and Volume 17(2004) of the Far East Journal of Applied Mathematics as the Special Volumes devoted largely to the articles concerned with the Applications of Numerical Methods in the Partial Differential Equations, Fluid Mechanics, Magnetohydrodynamics, and other related topics. (ii) Volume 13(2004) of the Far East Journal of Theoretical Statistics as the Special Volume devoted largely to the articles concerned with the Biostatistics and other related topics. The JP Journal of Algebra, Number Theory and Applications is published in three issues per volume annually appearing in April, August and December. Original research papers and critical survey articles in areas of current interest in Algebra, Number Theory and their Applications are considered for publication. Reviewed: Mathematical Reviews and Zentralblatt fur Mathematik.

29. NTL: A Library For Doing Number Theory
NTL A Library for doing number theory. NTL is a highperformance, portable C++ library providing data structures and algorithms
NTL: A Library for doing Number Theory
NTL is a high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields.
Now available: NTL 5.3.2
[More detailed information about recent changes] Back to Victor Shoup's Home Page

30. Welcome To The Homepage Of The Computer Algebra Research Group Of The IWR
Computer Algebra research group of the IWR, Heidelberg. People, research, teaching, activities, software and links.
Research group Prof. Dr. B.H. Matzat
Im Neuenheimer Feld 368
D-69120 Heidelberg
Germany Tel: +49 6221 54-8318
Fax: +49 6221 54-8850
Research Teaching Activities ...

31. A Computational Introduction To Number Theory And Algebra
A Computational Introduction to number theory and Algebra. A preliminary version of a book introducing basic concepts from computational
A Computational Introduction to Number Theory and Algebra
A preliminary version of a book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background. Now available: BETA version 3 This is a major revision of BETA version 2, with a number of bug fixes and lots of polishing. The book is now essentially in final form. Dowload PDF files Front Matter (102KB): title page, preface, table of contents Book (BETA version 3, 488 pages, 2.803MB) Back to Victor Shoup's Home Page

number theory Web. (UK Site).
Number Theory Web
(UK Site)
This site is a mirror of the Australian site at Brisbane, Australia
The main site is now in Vancouver, as of 31st May 2003
The Italian mirror site Francesco Pappalardi
The Japanese mirror site is at the University of Electro-Communication, Tokyo (courtesy of Masanari Kida
The Indian mirror site is at the Harish-Chandra Research Institute, Allahabad (courtesy of Shripad Garge Maintained by Keith Matthews , Dept of Math, University of Queensland, Brisbane, Australia
Suggestions for additions or improvements are welcome.
Contact me by email at This page last modified 2nd June 2003

33. Number Theory
number theory. This site features Generic Two integer variable equation solver Diophantine equation ax 2 + bxy + cy 2 + dx + ey
Dario Alpern's site Home Page Ver sitio en castellano ELECTRONICS Intel Microprocessors (Spanish only)
MATHEMATICS Calculators Number Theory Problems
PROGRAMS Assembler 80386 (downloads) Java Games
CONTACT Personal Comments Guestbook Discussion board ... Donations
Number theory
This site features:
  • Generic Two integer variable equation solver Diophantine equation ax + bxy + cy + dx + ey + f = solver, where the unknowns x and y can be integer numbers only. Written in Java/JavaScript. Last updated on May 31st, 2001.
  • Quadratic modular equation solver Calculator that can solve equations of the form ax + bx + c = (mod n) . Last updated: May 2nd, 2002.
  • Sum of powers Table of relations of the form a p + b q = c r with gcd(a,b,c) = 1 . Last updated: September 7th, 2003.
  • Ulam's Spiral Java applet featuring a graphical view of prime numbers. Last updated on February 14th, 2003.
  • Factorization using the Elliptic Curve Method Applet that can be used to find 20- or 30-digit factors of numbers or numerical expressions up to 1000 digits long. It also computes the number and sum of divisors, Euler's totient and Moebius, and its decomposition as a sum of up to 4 perfect squares. Last updated on February 9th, 2003.
  • Gaussian Integer Factorization applet Finds the factors of complex numbers of the form a+bi where a and b are integers. It also includes a complete calculator with operators and functions using gaussian integers. Last updated on June 1st, 2002.
  • 34. Euclid's Elements, Introduction
    Includes the entire 13 books on plane geometry, geometric and abstract algebra, number theory, incommensurables, and solid geometry. Uses java applets to illustrate the principles.
    New: Jaume Domenech Larraz has translated the Elements into Catalan at Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science but none so much as mathematics and the exact sciences. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages. I'm creating this version of Euclid's Elements for a couple of reasons. The main one is to rekindle an interest in the Elements, and the web is a great way to do that. Another reason is to show how Java applets can be used to illustrate geometry. That also helps to bring the Elements alive. The text of all 13 Books is complete, and all of the figures are illustrated using the Geometry Applet, even those in the last three books on solid geometry that are three-dimensional. I still have a lot to write in the guide sections and that will keep me busy for quite a while. This edition of Euclid's Elements uses a Java applet called the Geometry Applet to illustrate the diagrams. If you enable Java on your browser, then you'll be able to dynamically change the diagrams. In order to see how, please read

    35. Perfectly Scientific - Home
    the scientific algorithm company. Experts in compression, wavelets, FFT, general transforms, color graphics, Monte Carlo, fractals, convolution,signal processing, matrix algebra, genetic algorithms, number theory.

    PSI news
    PSI offers unique services that are hard to find elsewhere. We specialize in industrial algorithm problems. Contact us to help solve your specific algorithm problems. PSI offers software that embodies classical algorithms and/or our proprietary algorithms. As for hardware, PSI designs and supports laboratory peripherals for Mac OS X. See our software and hardware page PSI also provides a unique collection of scientific souvenir and gifts.

    36. INTEGERS: The Electronic Journal Of Combinatorial Number Theory
    INTEGERS is a refereed electronic journal devoted to research in the area of combinatorial number theory. It is published with the
    INTEGERS is a refereed electronic journal devoted to research in the area of combinatorial number theory. It is published with the help of the State University of West Georgia, Charles University, and DIMATIA. Subscriptions to INTEGERS are free. We welcome original research articles in combinatorics and number theory, with a preference for those that have a connection to both fields. Topics covered by the journal include additive number theory, multiplicative number theory, sequences and sets, extremal combinatorics, Ramsey theory, elementary number theory, classical combinatorial problems, hypergraphs, and probabilistic number theory. The principal subject areas, according to the American Mathematical Society subject classification scheme are 05A, 05C55, 05C65, 05D, 11A, 11B, 11K, 11N, 11P, 11Y, and 91A46. INTEGERS houses a Combinatorial Games section. Current Volume Previous Volumes Editorial Board How to Submit a Paper ... Download Statistics Home

    37. Lessons On Number Theory From Math Goodies
    Math Goodies offers 7 interactive lessons on topics number theory including factors, multiples, primes, composites, divisibility, and exponents.
    interactive click here fun Lessons CD Forums Homework ... Newsletter numbers Advertise Recommend Puzzles About Us ... Articles Our interactive lessons are in-depth learning modules that provide detailed examples, diagrams, summaries and exercises. Each volume of lessons consists of a related group of lessons, practice exercises, challenge exercises, and a solutions page. Read the Terms and Conditions for using our free demo lessons. First time users also need to read this Important Information Lesson Description Factors and Greatest Common Factors To define factor and greatest common factor (GCF). To learn the procedure for finding all factors of a whole number. To learn the procedure for finding the GCF of two or more whole numbers. Multiples and Least Common Multiples To define multiple and least common multiple (LCM). To learn the procedure for finding the multiples of a whole number. To learn the procedure for finding the LCM of two or more whole numbers. Available on CD only Prime and Composite Numbers To define prime and composite numbers. To determine if a number is prime or composite by examining its factors.

    38. Nicholas M. Katz's Home Page
    Professor of number theory Algebraic Geometry, Princeton University. Space filling curves over finite fields.
    Check out Bibliography of Nicholas M. Katz pdf file (70 KB) C.V. of Nicholas M. Katz pdf file (6 KB) Photo from 60'th Birthday Conference jpg file (807 KB) Photo from 60'th Birthday Conference (high resolution version) TIF file (123 MB)
    Nicholas M. Katz PDF and DVI files available for download
    On a question of Lillian Pierce dvi file (44 KB) pdf file (982 KB) Hooley parameters for families of exponential sums over finite fields pdf file Notes on G_2, determinants, and equidistribution (typo's corrected Dec. 9, 2003) pdf file online version (joint with Esnault) Cohomological divisibility and point count divisibility (corrected version of nov. 10, 2003) dvi file (41 KB) pdf file (187 KB) Corrected version of Chapter 5 of "Twisted L-Functions and Monodromy" pdf file (Annals of Math Study, to appear) Moments, Monodromy, and Perversity: a Diophantine Perspective Corrections to "Space filling curves over finite fields" dvi file (12 KB) pdf file (88 KB) (joint with Pandharipande) Inequalities related to Lefschetz pencils and integrals of Chern classes pdf file (80 KB) Estimates for "nonsingular" multiplicative character sums dvi file (60 KB) pdf file (206 KB) A semicontinuity result for monodromy under degeneration dvi file (36 KB) pdf file (163 KB) Sato-Tate Equidistribution of Kurlberg-Rudnick Sums pdf file (94 KB) AWS2000 Lectures: L -functions and monodromy: four lectures on Weil II pdf file (184 KB) Larsen's Alternative, Moments, and the Monodromy of Lefschetz Pencils

    39. Introduction To Number Theory
    next contents Next Contents. amssym.def. Introduction to number theory. XD JIA. SOUTHWEST TEXAS STATE UNIVERSITY Spring 1996. Contents;
    Next: Contents
    Introduction to Number Theory
    Spring 1996
  • About this document ...
    Donald Hazlewood and Carol Hazlewood
    Wed Jun 5 14:35:14 CDT 1996
    Part of the number theory Web, compiled by Keith Matthews.
    Number Theory Conferences, new and old

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