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Number Theory:     more books (100)

Elementary Number Theory: Second Edition by Underwood Dudley, 2008-09-25 Number Theory (Dover Books on Advanced Mathematics) by George E. Andrews, 1994-10-12 An Introduction to the Theory of Numbers by G. H. Hardy, Edward M. Wright, et all 2008-09-15 Elementary Number Theory (6th Edition) by Kenneth H. Rosen, 2010-04-09 Elementary Number Theory by Gareth A. Jones, Josephine M. Jones, 1998-01-14 Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger (Dover Books on Mathematics) by Pierre Samuel, 2008-05-19 Number Theory: A Lively Introduction with Proofs, Applications, and Stories by James Pommersheim, Tim Marks, et all 2010-02-15 104 Number Theory Problems: From the Training of the USA IMO Team by Titu Andreescu, Dorin Andrica, et all 2006-12-19 Elementary Number Theory by David Burton, 2010-02-04 Number Theory and Its History (Dover Classics of Science and Mathematics) by Oystein Ore, 1988-04-01 Friendly Introduction to Number Theory, A (3rd Edition) by Joseph H. Silverman, 2005-03-31 A Primer of Analytic Number Theory: From Pythagoras to Riemann by Jeffrey Stopple, 2003-06-23 Elementary Theory of Numbers (Dover books on advanced mathematics) by William J. LeVeque, 1990-06-01 Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning by Clifford A. Pickover, 2002-06-15

lists with details

1. Number Theory - Wikipedia, The Free Encyclopedia
   number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider  
   http://en.wikipedia.org/wiki/Number_theory
   
   Extractions: Jump to: navigation search Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. Number theory may be subdivided into several fields, according to the methods used and the type of questions investigated. ( See the list of number theory topics The term " arithmetic " is also used to refer to number theory. This is a somewhat older term, which is no longer as popular as it once was. Number theory used to be called the higher arithmetic , but this too is dropping out of use. Nevertheless, it still shows up in the names of mathematical fields ( arithmetic functions arithmetic of elliptic curves fundamental theorem of arithmetic ). This sense of the term arithmetic should not be confused either with elementary arithmetic , or with the branch of logic which studies Peano arithmetic as a formal system Mathematicians working in the field of number theory are called number theorists When arranging the natural numbers in a spiral and emphasizing the prime numbers, an intriguing and not fully explained pattern is observed, called the

2. NUMBER THEORY WEB
   Things of interest to number theorists collected by Keith Matthews.  
   http://www.numbertheory.org/

3. 11: Number Theory
   Dave Rusin s guide to number theory.  
   http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
   
   Extractions: POINTERS: Texts Software Web links Selected topics here Number theory is one of the oldest branches of pure mathematics, and one of the largest. Of course, it concerns questions about numbers, usually meaning whole numbers or rational numbers (fractions). Elementary number theory involves divisibility among integers the division "algorithm", the Euclidean algorithm (and thus the existence of greatest common divisors), elementary properties of primes (the unique factorization theorem, the infinitude of primes), congruences (and the structure of the sets Z /n Z as commutative rings), including Fermat's little theorem and Euler's theorem extending it. But the term "elementary" is usually used in this setting only to mean that no advanced tools from other areas are used not The remaining parts of number theory are more or less closely allied with other branches of mathematics, and typically use tools from those areas. For example, many questions in number theory may be posed as Diophantine equations equations to be solved in integers without much preparation. Catalan's conjecture are 8 and 9 the only consecutive powers? asks for the solution to

4. MathPages: Number Theory
   Kevin Brown s collection of sci.math postings related to number theory topics.  
   http://www.mathpages.com/home/inumber.htm

5. Number Theory
   Quadratic two integer variable equation solver, quadratic modular equations, sum of powers.  
   http://www.alpertron.com.ar/NUMBERT.HTM
   
   Extractions: CONTACT Personal Comments Guestbook Links ... Donations 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.

6. Front: Math.NT Number Theory
   Very large number theory section of the mathematics eprint arXiv.  
   http://front.math.ucdavis.edu/math.NT
   
   Extractions: journals ... iFAQ math.NT Number Theory Calendar Search Atom feed Search Author Title/ID Abstract+ Category articles per page Show Search help Recent New articles (last 12) 14 Mar arXiv:0803.1891 Partition statistics and quasiweak Maass forms. K. Bringmann , F. Garvan , K. Mahlburg math.NT math.CO 14 Mar arXiv:0803.1870 Non-vanishing of the symmetric square $L$-function at the central point. Rizwanur Khan math.NT 14 Mar arXiv:0803.1868 On the Distribution of Normal Numbers. Rizwanur Khan math.NT 13 Mar arXiv:0803.1740 Hongze Li , Hao Pan math.NT 13 Mar arXiv:0803.1682 An open image theorem for a general class of abelian varieties. Chris Hall math.NT 12 Mar arXiv:0803.1606 Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples. Leonid G. Fel math.NT math.AC 12 Mar arXiv:0803.1584 Distribution of Angles in Hyperbolic Lattices. Morten S. Risager , Jimi L. Truelsen math.NT Cross-listings 14 Mar arXiv:0803.1996 Rational points on homogeneous varieties and Equidistribution of Adelic periods. Alex Gorodnik , Hee Oh (with appendix by Mikhail Borovoi).

7. The Math Forum - Math Library - Number Theory
   The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites  
   http://mathforum.org/library/topics/number_theory/
   
   Extractions: A brief introduction to the field of continued fractions, including some basic theory about the subject; the history of continued fractions, tracing some of the major developments in the field in the past 2500 years; some interactive applications that demonstrate the uses of continued fractions and let you calculate them; and the resources used in creating this site, including a bibliography and links to other sites on the Web. more>> Fermat's Last Theorem - MacTutor Math History Archives Essay describing Fermat's theorem with links to mathematicians such as Sophie Germain, Legendre, Dirichlet, Shimura and Taniyama, etc., from its inception through Andrew Wiles' proof, with another web site and 17 references (books/articles). more>> Number Theory - Dave Rusin; The Mathematical Atlas

8. Number Theory
   www.mathgoodies.com/lessons/toc_vol3.shtm  
   http://www.mathgoodies.com/lessons/toc_vol3.shtm

9. Number Theory - Physicsworld.com
   number theory. A physicist in the US has proposed a new way of quantifying the scientific output of individual scientists. Jorge Hirsch of the University of  
   http://physicsworld.com/cws/article/news/22890
   
   Extractions: @import url(/cws/css/screen.css); @import url(/cws/css/themes/phw.css); @import url(/cws/css/datePicker.css); Skip to the content A community website from IOP Publishing physicsworld.com Realmedia.OAS_AD('Top'); Whole site Print edition News In depth Jobs Events Buyer's guide Search Realmedia.OAS_AD('Left'); For maximum exposure, become a Corporate Partner. Contact our sales team Corporate Partners Aug 16, 2005 A physicist in the US has proposed a new way of quantifying the scientific output of individual scientists. Jorge Hirsch of the University of California at San Diego says that the " h -index" - which is derived from the number of times that papers by the scientist are cited - gives an estimate of the "importance, significance and broad impact of a scientist's cumulative contributions." According to Hirsch the h -index "should provide a useful yardstick to compare different individuals" when recruiting new staff, deciding promotions and awarding grants (physics/0508025).

10. Number Theory Files For David Eppstein
    I have implemented a number of simple numbertheoretic algorithms Other number theory on the web Recreational topics from the theory of numbers  
    http://www.ics.uci.edu/~eppstein/numth/
    
    Extractions: for my own amusement, and provide them here on the net. Egyptian Fractions algorithms and references. This notebook for Mathematica 2.2/Macintosh (also available in HTML format) describes and implements a number of different algorithms for representing rational numbers as sums of distinct unit fractions. C++ implementation of J.H.Conway's "nimber" arithmetic. Conway's nimbers (used in combinatorial game theory ) form an infinite field of characteristic two, with a natural binary representation in which truncation to a fixed number of bits produces finite subfields GF[2^2^k]. The algorithms in this file implement nimber multiplication, square root, and other functions, using O(k 3^k) bit operations. This bound is somewhat worse than what one can achieve for the more standard irreducible polynomial representation of GF[2^2^k] but is simpler and more uniform. This version is an update to my code by Achim Flammenkamp, to make it run under less archaic versions of C++ and allow numbers with more bits than machine precision; the original code is here C++ fast algorithm for computing 2-adic inverse.

11. Number Theory, Math, Online Tutoring - Tutorvista.com
    Number and Operations is an essential part of the study of mathematics. A number is a quantity that is used in counting and measuring.  
    http://www.tutorvista.com/content/math/number-theory/number-theory.php
    
    Extractions: Welcome! Customer Care Chat Login Subject Math > Number Theory Number and Operations is an essential part of the study of mathematics. A number is a quantity that is used in counting and measuring. The definition of the term number includes such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers. The study of Number and Operations involves understanding numbers, representations, relationships, and number systems. Operations on numbers produces a new value from one or more input values. Although Operations can involve dissimilar objects and mathematical objects other than numbers, they may not be defined every possible value. Operations use operands, arguments, or inputs, to produce value, result, or output. Rational and Irrational Numbers The rational numbers can be expressed as terminating or recurring decimals. Numbers which are not rational are called irrational numbers. When expressed as decimals, they are non-terminating and non-recurring.

12. A Computational Introduction To Number Theory And Algebra
    By Victor Shoup (Cambridge University Press, 2005). Full text free in PDF, list of errata, supplementary exercises.  
    http://www.shoup.net/ntb/
    
    Extractions: A Computational Introduction to Number Theory and Algebra A book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background. The book is published by Cambridge University Press . It can be purchased directly from Cambridge University Press , or from online book retailers . However, the book will continue to be freely available online in PDF format under a Creative Commons license. DOWNLOADS LINKS Back to Victor Shoup's Home Page

13. NUMBER THEORY WEB (BRITISH MIRROR SITE)
    Search the number theory Web Pages. The main site is in Vancouver, as of 31st May 2003 The Italian mirror site is at Università di Roma Tre, Rome, Italy  
    http://www.dpmms.cam.ac.uk/Number-Theory-Web/

14. Algebraic Number Theory Archives
    Electronic preprint archives for mathematics research papers in algebraic number theory and arithmetic geometry.  
    http://www.math.uiuc.edu/Algebraic-Number-Theory/
    
    Extractions: I shall no longer be managing the Algebraic Number Theory preprint archives. The web site is now frozen and is not accepting new submissions and subscriptions. Michael Zieve has kindly agreed to assume control, with the help of Greg Kuperberg, and new submissions should be directed to the new URL for the archive, http://front.math.ucdavis.edu/ANT/ Your subscription will continue, unless you choose otherwise. I thank Dan Grayson for setting up the archives and his patient help with technical issues, and Michael and Greg for volunteering to take on this work. Nigel Boston http://www.math.wisc.edu/~boston/ Welcome to the preprint archives for papers in Algebraic Number Theory and Arithmetic Geometry. Use the Find facility of your browser on this page, or search: Our mirror site in the United Kingdom , set up by Richard Pinch. Our main site in the USA Instructions for authors Instructions for joining the mailing list . Members of the mailing list receive announcements of preprints when they are deposited in the archives. Some TeX fonts , stored in a tar image compressed with gzip, including the lams* and xy* fonts, which are needed for some of the preprints.

15. Università Degli Studi Di Ferrara - Cerca in rete
    number theory. Old page Bibliography General General. number theory Web Mirror in Roma Internet resources in number theory  
    http://felix.unife.it/ /ma-zth

16. PlanetMath: Number Theory
    number theory is the branch of math concerned with the study of the integers, and of the objects and structures that naturally arise from their study.  
    http://planetmath.org/encyclopedia/NumberTheory.html
    
    Extractions: number theory (Topic) Number theory is the branch of math concerned with the study of the integers , and of the objects and structures that naturally arise from their study. It is one of the oldest parts of mathematics, alongside geometry , and has been studied at least since the ancient Mesopotamians. Perhaps because of its purely mathematical nature (at least until the development of cryptography in the twentieth century, number theory was devoid of practical applications), number theory has often been considered as a central and particularly beautiful part of mathematics. Carl Friedrich Gauss , arguably the greatest number Euler , Gauss, Dedekind, Jacobi, Eisenstein and Hilbert all made immense contribution to its development. Great twentieth century number theorists include Artin, Hardy, Ramanujan Andrew Wiles Number theory is also remarkable because small, easy-to-understand

17. Number Theory Authors/titles Recent Submissions
    Subjects number theory (math.NT); Mathematical Physics (mathph) Comments 12 pages. Subjects Algebraic Geometry (math.AG); number theory (math.NT)  
    http://arxiv.org/list/math.NT/recent

18. ScienceDirect - Journal Of Number Theory, Volume 128, Issue 4, Pages 709-1090 (A
    Journal of number theory Copyright © 2007 Elsevier Inc. All rights reserved Shortcut URL to this page http//www.sciencedirect.com/science/journal/0022314X  
    http://www.sciencedirect.com/science/journal/0022314X

19. Number Theory
    number theory Group. Members, meetings, software.  
    http://www.ma.utexas.edu/~voloch/numberthy.html
    
    Extractions: Jeffrey Vaaler vaaler@math.utexas.edu ): Analytic number theory, Diophantine approximation and the geometry of numbers in local and global fields, Diophantine inequalities, polynomials, effective measures of irrationality and transcendence, applications of Fourier analysis in number theory, inequalities and extremal problems.

20. Journal Of Number Theory - Elsevier
    The Journal of number theory features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied  
    http://www.elsevier.com/locate/jnt
    
    Extractions: Home Site map Elsevier websites Alerts ... Journal of Number Theory Journal information Product description Editorial board Audience Abstracting/indexing ... Special issues and supplements Subscription information Bibliographic and ordering information Conditions of sale Dispatch dates Journal-related information Contact the publisher Impact factor Most downloaded articles Other journals in same subject area ... Select your view JOURNAL OF NUMBER THEORY The Journal of Number Theory features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research in this field.

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