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Number Theory:     more books (100)

Algebraic Number Theory and Fermat's Last Theorem: Third Edition by Ian Stewart, David Tall, 2001-12-01 Multiplicative Number Theory by Harold Davenport, 2000-10-31 A Guide To Elementary Number Theory (Dolciani Mathematical Expositions) by Underwood Dudley, 2009-11-19 Boethian Number Theory: A Translation of the De Institutione Arithmetica (Studies in Classical Antiquity) by Michael Masi, 1983-01 The Theory of Algebraic Numbers by Harry Pollard, Harold G. Diamond, 2010-08-19 A Computational Introduction to Number Theory and Algebra by Victor Shoup, 2009-02-16 Algebraic Number Theory A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) by Kenneth Ireland, Michael Rosen, 2010-11-02 Unsolved Problems in Number Theory (Problem Books in Mathematics) (v. 1) by Richard K. Guy, 1994-07 Advanced Number Theory by Harvey Cohn, 1980-08-01 An Introduction to Number Theory (Graduate Texts in Mathematics) by G. Everest, Thomas Ward, 2005-05-06 A Course in Computational Number Theory (Key Curriculum Press) by David Bressoud, Stan Wagon, 2008-06-10 1001 Problems in Classical Number Theory by Jean-Marie De Koninck and Armel Mercier, 2007-04-10 Lectures on Number Theory (History of Mathematics Source Series, V. 16) by Peter Gustav Lejeune Dirichlet, Richard Dedekind, et all 1999-08-04

lists with details

41. Combinatorics/Number Theory RESEARCH DIRECTORY
    Graph theory, combinatorial number theory.  
    http://www.math.tamu.edu/research/research_areas/cnt.html

42. Number Theory Foundation
    Private philanthropic US organization for research in number theory.  
    http://www.cerias.purdue.edu/homes/ssw/ntf/index.html

43. Number Theory Foundation
    number theory Foundation. Please change your link to http//www.math.uiuc.edu/ntf/ The new number theory Foundation web page.  
    http://www.cerias.purdue.edu/homes/ssw/ntf/

44. Math Resources
    Contains links to software, professional organizations, research institutes, teaching aids, algebra, number theory, geometry, calculus, differential equations.  
    http://comers.citadel.edu/www/math.htm
    
    Extractions: Math Resourses This page contains links to web sites with mathematically related information organized as follows: General Resource sites Home pages for professional organizations and research institutes: AMS , the MAA the Eisenhower National Clearinghouse and EXTEND an Internet forum on math education.

45. NT Number Theory
    Very large number theory section of the mathematics eprint arXiv.  
    http://front.math.ucdavis.edu/math.NT

46. Paul Garrett: Crypto And Number Theory
    Crypto and number theory. garrett@math.umn.edu my homepage Introduction to cryptology, numbertheory, algebra, and algorithms. Protocols.  
    http://www.math.umn.edu/~garrett/crypto/
    
    Extractions: my homepage updated 14:50, 17 May 04] [this page is http://www.math.umn.edu/~garrett/crypto/] (No, I will not be teaching Crypto in 2004-05.) Some overheads from Fall '03 class: general info updated 14:55, 17 May 04] 08 Sept 2003 updated 10:44, 10 Sep 03] 10 Sept 2003 updated 18:15, 10 Sep 03] 15 Sept 2003 updated 14:43, 15 Sep 03] 17 Sept 2003 updated 15:10, 17 Sep 03] 22 Sept 2003 updated 18:22, 22 Sep 03] 24 Sept 2003 updated 13:14, 24 Sep 03] 29 Sept 2003 updated 15:20, 07 Oct 03] 01 Oct 2003, Vigenere updated 12:36, 01 Oct 03] 01 and 06 Oct 2003, Intro RSA, Diffie-Hellman, public-key issues updated 18:12, 06 Oct 03] 13 Oct 2003 updated 11:12, 15 Oct 03] 15-20 Oct 2003 updated 17:56, 21 Oct 03] 20 Oct 2003 updated 17:09, 20 Oct 03] 22 Oct 2003 updated 15:13, 22 Oct 03] 27 Oct 2003 updated 13:50, 28 Oct 03] 29 Oct 2003 updated 16:17, 18 Nov 03] 03 Nov 2003 updated 17:38, 04 Nov 03] comments on projects updated 14:04, 08 Nov 03] 10 Nov 2003 updated 18:58, 10 Nov 03] 17 Nov 2003 updated 12:09, 22 Nov 03]

47. Algebraic Number Theory Archive
    Eprint archive for research in algebraic number theory and arithmetic geometry. Algebraic number theory Archive. Welcome to the  
    http://front.math.ucdavis.edu/ANT/
    
    Extractions: Welcome to the (new) Algebraic Number Theory Archive, founded by Nigel Boston and Dan Grayson and currently maintained by Michael Zieve . This archive is for research in algebraic number theory and arithmetic geometry. It is being converted to an overlay for the mathematics arXiv Instructions for authors: Please contribute new submissions to the NT (Number Theory) category of the math arXiv following these submission instructions . Submissions in algebraic number theory will automatically appear here within a few days. Please send email if your arXiv article has been overlooked. Members of the mailing list receive announcements of new e-prints. To subscribe (or unsubscribe), please write to the Michael Zieve Some TeX fonts in compressed tar format, including the lams* and xy* fonts, which are needed for some of the e-prints. math.AG/0405529 : 27 May 2004, Cyclic p-groups and semi-stable reduction of curves in equal characteristic p>0 , by Mohamed Saidi.

48. Basics Of Computational Number Theory
    Basics of Computational number theory. Robert Campbell. Contents. 1. Introduction. This document is a gentle introduction to computational number theory.  
    http://www.math.umbc.edu/~campbell/NumbThy/Class/BasicNumbThy.html
    
    Extractions: Basics of Computational Number Theory Robert Campbell Introduction Modular Arithmetic Appendices Programming Notes References Glossary This document is a gentle introduction to computational number theory. The plan of the paper is to first give a quick overview of arithmetic in the modular integers. Throughout, we will emphasize computation and practical results rather than delving into the why. Simple programs, generally in JavaScript, are available for all of the algorithms mentioned. At the end of the paper we will introduce a the Gaussian Integers and Galois Fields and compare them to the modular integers. Companion papers will examine number theory from a more advanced perspective. Modular arithmetic is arithmetic using integers modulo some fixed integer N . Thus, some examples of operations modulo 12 are: Further examples can be generated and checked out with the following short programs. Note that, as JavaScript cannot compute with integers larger than 20 digits, the largest modulus allowed is 10 digits. (mod

49. Magma Documentation -- Moved!
    WEB DI TEORIA DEI NUMERI (SITO ITALIANO) Translate this page Things of Interest to Number Theorists). Ricerca nel Web di Teoria dei Numeri di Roma (Search the number theory Web Pages in Rome).  
    http://www.maths.usyd.edu.au:8000/comp/magma/Overview.html

50. DESCRIPTIONS OF AREAS/COURSES IN NUMBER THEORY, LECTURE NOTES
    s of areas/courses in number theory, lecture notes. Return to Menu page. Return to number theory Web page. Last modified 3rd April 2004.  
    http://www.maths.uq.edu.au/~krm/N4.html
    
    Extractions: The ABC Conjecture Arithmetical Geometry Topics in Arithmetical Geometry (Outline of a course by Shou-Wu Zhang - pdf) Grothendieck's SGA Differential algebraic geometry, a scheme theoretic approach (lecture notes by Henri Gillet, 1998) Lecture notes on the local Langlands correspondence (Michael Harris) Modular Mahler Measures , slides by Fernando Villegas Course notes on Heights , (pdf 720K) (Nils-Peter Skoruppa) Diophantine geometry in characteristic p: a survey , (Felipe Voloch) Draft of PCMI Lecture Notes on Open Questions in Arithmetic Algebraic Geometry (Alice Silverberg) (ps file 803K) Lecture Notes from H.L. Lenstra's Algebraic Curves Math 274, 1995

51. Tools On Number Theory Web
    整数論関連のコンピュータツールのアーカイブとリンク集。「代数学と計算」研究集会の情報もある。  
    http://tnt.math.metro-u.ac.jp/index.j.html

52. LiDIA - A Library For Computational Number Theory
    Based at the Darmstadt University of Technology, Germany. LiDIA is a C++ library for computational number theory which provides a collection of highly optimized implementations of various multiprecision data types and timeintensive algorithms.  
    http://www.informatik.tu-darmstadt.de/TI/LiDIA/
    
    Extractions: A C++ Library For Computational Number Theory LiDIA 2.1.1 is available for download The LiDIA 2.1 release of yesterday contained a bug that broke LiDIA on some platforms. We also encountered a defect in the standard library shipping with g++ 2.95.2 that caused builds with this compiler to fail. LiDIA 2.1 is withdrawn. LiDIA 2.1.1 brings a long list of bugfixes that accumulated since LiDIA 2.1pre7. Other changes include: Please refer to the release notes for an exhaustive list of changes and the known problems in LiDIA 2.1. More news and facts about LiDIA can be found on LiDIA's NEWS page Introduction

53. NUMBER THEORY FTP SITES/CALCULATOR PROGRAMS/ARCHIVES
    number theory ftp sites/calculator programs/archives. Algebraic number theory Archives; finite rings. number theory Tables. Iwasawa invariants  
    http://www.maths.uq.edu.au/~krm/N1.html
    
    Extractions: The CAGE project CALC (Keith Matthews' number theory calculator) Number theory programs for Casio Graphic Calculators (Roy MacLean) Class polynomials of CM fields (Annegret Weng) CPG , a class polynomial generator (Marcel Martin) Computations on curves of genus2 and their jacobians (Paul Van Wamelen) Critical Strip Explorer 0.6 (Matthew Watkins and Raymond Manzoni) A Java applet which allows users to 'manually' explore the behaviour of the Riemann zeta function in and around the critical strip Curves of Genus 2 ftp site (Victor Flynn) CYCLOPROV , a LiDIA based C++ package for primality-proving using cyclotomy (DEC Alpha only) (Preda Mihailescu) A Database for Number Fields Discriminant Exponent Calculator (John Jones) ECPP The ECMNET Project : Find a factor of 50 digits or more by ECM EIS , computing Fourier coefficients of Eisenstein series attached to lattices, (M. Kuss and J. Bruinier)

54. Number Theory Index
    History Topics Numbers and number theory Index. Number systems in ancient civilisations, Other number theory. Arabic number systems. Babylonian number systems.  
    http://www-gap.dcs.st-and.ac.uk/~history/Indexes/Number_Theory.html

55. Math 259: Introduction To Analytic Number Theory (Spring 1998)
    Lecture notes for Math 259 Introduction to Analytic number theory (Spring 1998) If you find a mistake, omission, etc., please let me know by email.  
    http://www.math.harvard.edu/~elkies/M259.98/
    
    Extractions: Lecture notes for Math 259: Introduction to Analytic Number Theory (Spring 1998) If you find a mistake, omission, etc., please let me know by e-mail. The orange ball marks our current location in the course. For an explanation of the background pattern, skip ahead to the end of the page. plan.ps and intro.ps : administrivia and philosophy/examples elem.ps : Elementary methods I: variations on Euclid euler.ps : Elementary methods II: The Euler product for s>1 and consequences dirichlet.ps : Dirichlet characters and L-series; Dirichlet's theorem modulo the non-vanishing of L-series at s=1 chebi.ps click here For Erdos' simplification of Cebysev's proof of the "Bertrand Postulate": there exists a prime between x and 2x for all x>1. Adapted from Hardy and Wright, pages 343-344. psi.ps zeta1.ps gamma.ps prod.ps : Functions of finite order: Hadamard's product formula and its logarithmic derivative zeta2.ps free.ps pnt.ps : Conclusion of the proof of the Prime Number Theorem with error bound; some consequences and equivalents of the Riemann Hypothesis. Here's a bibliography lsx.ps

56. The School Of Mathematics UEA:
    number theory research.  
    http://www.mth.uea.ac.uk/~h090/number_theory.html
    
    Extractions: Number theory is a broad, all-encompasing kind of subject that uses tools from many diverse areas. But it does not mean you need to be an egg-head to do original research. The way into many outstanding problems can often be at quite a low level. At UEA, the research centres around two different areas. (1) Diophantine Equations (2) Elliptic Curves. For (1), we look at special classes of equations where there are known to be infinitely many integer solutions. We look at special properties of these solutions and try to study their finer properties such as their location in `space' or their divisibilty by primes. For a good introduction, try Alan Baker's book "An Introduction to the Theory of Numbers". You could also have a look at some of the papers on my list of publications. Interest looks set to rise in (2) owing to Wiles' proof of Fermat' Theorem. Recently I have looking at inter-actions between the arithmetic of elliptic curves and dynamical systems. The approach is fairly down-to-earth although the language of algebraic geometry is becoming increasingly used. For an interesting explanation of the use of elliptic curves in number theory try Alf van der Poorten's book "Notes on Fermat's Last Theorem". You could also look at some of my recent papers on elliptic curves in my list of publications.

57. Algorithmic Number Theory: Tables And Links
    Algorithmic (aka Computational) number theory Tables, Links, etc. Algorithmic number theory? What s that? Back to general math page  
    http://www.math.harvard.edu/~elkies/compnt.html
    
    Extractions: Tables of solutions and other information concerning Diophantine equations [equations where the variables are constrained to be integers or rational numbers]: Elliptic curves of large rank and small conductor arXiv preprint; joint work with Mark Watkins; to appear in the proceedings of ANTS-VI (2004)): Elliptic curves over Q of given rank r up to 11 of minimal conductor or discriminant known; these are new records for each r in [6,11]. We describe the search method tabulate the top 5 (bottom 5?) such curves we found for r in [5,11] for low conductor, and for r in [5,10] for low discriminant. Data and results concerning the elliptic curves ny =x -x arising in the ``congruent number'' problem: Transparencies for ANTS-V lecture, in PS and PDF added 7/2002 All for which the curve has analytic rank at least 3, listed and used; , under an additional conjecture;

58. Course 311 - Abstract Algebra
    Lecture notes by David Wilkins, Trinity College, Dublin. Topics in number theory; Group Theory; Galois Theory.  
    http://www.maths.tcd.ie/~dwilkins/Courses/311/
    
    Extractions: The lecture notes for course 311 ( Abstract algebra ), taught at Trinity College, Dublin, in the academic year 2001-02, are available here. The course consists of three parts:- The following handouts were also distributed in the academic year 2001-02: dwilkins@maths.tcd.ie ... Trinity College , Dublin 2, Ireland

59. Elementary And Analytic Number Theory
    Elementary and Analytic number theory. by WWL Chen. This set of notes has been renamed and moved. For access, please click here.  
    http://www.maths.mq.edu.au/~wchen/lneantfolder/lneant.html

60. Mathematical Induction - Math Induction Problems And Puzzles
    A page of uncommon problems, most closely connected with number theory.  
    http://www.geocities.com/jespinos57/induction.htm
    
    Extractions: connected with Number Theory.Some properties may be proved in different ways.For more exercises, problems, puzzles, games, math riddles, brain teasers, etc. to see Math Links (not only of math induction). PROBLEM 1 Let : p-1 k=1 k n(p-1)+1 p-1 k=1 ((k )/2) - p(p-1)(n(p-1)+1)/2 Prove by induction that F(n) is divisible by p , for all integers n Hint

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