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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. Algorithmic Number Theory Tables And Links
    Compiled by Noam Elkies.Category Science Math number theory TablesAlgorithmic (aka Computational) number theory Tables, Links, etc. Algorithmicnumber theory? What's that? Back to general math page  
    http://www.math.harvard.edu/~elkies/compnt.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. Basics Of Computational Number Theory
    Notes and Javascript illustrations by Robert Campbell.Category Science Math number theory ComputationalBasics 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

44. Inexplicable Secrets Of Creation
    Relationships between number theory and physics.  
    http://www.maths.ex.ac.uk/~mwatkins/

45. Algorithmic Number Theory
    Eric Bach and Jeffrey Shallit. Errata, bibliography in BibTeX format.Category Science Math number theory Publications BooksAlgorithmic number theory. Eric Bach and Jeffrey Shallit Algorithmicnumber theory, Volume I Efficient Algorithms Published by MIT  
    http://www.math.uwaterloo.ca/~shallit/ant.html

46. Algorithmic Number Theory - Bibliography
    BibTeX files for the book Algorithmic number theory by Eric Bach and Jeffrey Shallit.Category Science Math number theory PublicationsAlgorithmic number theory Bibliography. We hope this database of over 3100 papersrelating to algorithmic number theory will be useful to other researchers.  
    http://www.math.uwaterloo.ca/~shallit/antbib.html
    
    Extractions: This page gives you access to the BibTeX files for the book Algorithmic Number Theory by Eric Bach and Jeffrey Shallit. We hope this database of over 3100 papers relating to algorithmic number theory will be useful to other researchers. We have double-checked most of these references, but we cannot guarantee their accuracy. Please inform us of errors or omissions you find. Bib files corresponding to chapters of our book not yet written (such as factoring.bib ) are necessarily spotty and incomplete. The bib files do not contain duplicate entries, so finding a particular reference may require checking several different files, particularly when the subject matter spans two different sub-areas. Please note that the BibTeX references use abbreviations for names of journals, conferences, and publishers, and these abbreviations are stored in the file abbrevs.bib abbrevs.bib (size = 21090 bytes) algebraic.bib (size = 10987 bytes) analytic.bib (size = 113330 bytes) applications.bib

47. Number Theory
    Department of number theory. Members, research interests, publications.  
    http://www.impan.gov.pl/FacInfo/numberth.html
    
    Extractions: Number Theory Staff Research during the last few years concerned problems in different branches of number theory which will be reviewed in the order adopted by Mathematical Reviews. In elementary number theory a problem (proposed by T. Cochrane and G. Meyerson) concerning covering systems of congruences has been solved in [10] and another one (proposed by W. Narkiewicz) concerning arithmetical functions in [14]. Various problems concerning generalized pseudoprimes have been solved in [1]-[4] and a problem on this subject proposed by C. Pomerance has been solved by A. Rotkiewicz (as yet unpublished). A criterion for reducibility over the rationals of the non-cyclotomic kernel of a non-reciprocal lacunary polynomial has been given by A. Schinzel (as yet unpublished). In diophantine equations, [8] gives a solution to Problem D16 from the book of R. Guy "Unsolved Problems in Number Theory" and [15] solves a problem on Pythagorean triangles proposed by I. Korec. [16] deals with a Diophantine equation related to generalized Bernoulli numbers. In the metric theory of algorithms a problem of M. Deleglise concerning continued fractions has been solved in [13].

48. Fields Institute - Conference In Number Theory - 2003
    Conference in number theory in Honour of Professor HC Williams. SaturdayMay 24, 2003 to Friday May 30, 2003 to be held at The Banff  
    http://www.fields.utoronto.ca/programs/scientific/02-03/numtheory/
    
    Extractions: The conference is open to all areas of Number Theory, with emphasis on Computational Number Theory and applications to Cryptography. Researchers in these fields of study are welcomed to participate, as we honour Canada's foremost computational number theorist, whose contributions include results on integer factorization, primality testing, diophantine equations, linear recurrences, the infrastructure of quadratic number fields and function fields, and their applications to Cryptography. Each day of the conference will include one plenary lecture, a number of invited lectures and time has been set aside each day for contributed talks. Manindra Agrawal from IITK, who has recently proved the existence of a deterministic polynomial time algorithm for primality testing, will give a special evening lecture at the Banff Center on Sunday May 25, 2003, with a reception to follow in his honour sponsored by RSA Security Inc.

49. 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.

50. The Math Forum - Math Library - Number Theory
    mathematics. This page contains sites relating to number theory. Browseand Search the Library Home Math Topics number theory.  
    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

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
    
    Extractions: TNT FTP TNT Web $B4XO"%j%s%/(B $B$3$N%Z! ogino@tnt.math.metro-u.ac.jp )$B$K$h$C$F%a%s%F%J%s%9$5$l$F$$$^$9!#(B $B$40U8+$4MWK>$r$*4s$;2 $B$X$N$40U8+$O!"(B webmaster@tnt.math.metro-u.ac.jp $B$^$G$*4j$$CW$7$^$9!#(B $BI=;f(B $B99?7(B $B%j%s%/(B $BG[I[J*(B ] [TNT$B$K$D$$$F(B] ogino@tnt.math.metro-u.ac.jp

52. Math Forum - Ask Dr. Math Archives: High School Number Theory
    Browse High School number theory. Stars indicate particularly interestinganswers or good places to begin browsing. 0 Divided by  
    http://mathforum.org/library/drmath/sets/high_number_theory.html

53. Paul Garrett: Crypto And Number Theory
    Introduction to cryptology, number-theory, and algorithms. Protocols. Symmetric versus asymmetric Category Science Math number theory Publications BooksCrypto and number theory. garrett@math.umn.edu my homepage Introductionto cryptology, numbertheory, algebra, and algorithms. Protocols.  
    http://www.math.umn.edu/~garrett/crypto/
    
    Extractions: garrett@math.umn.edu my homepage updated 19 Dec 02] [this page is http://www.math.umn.edu/~garrett/crypto/] Mon Dec 16 3:00-4:00 Tue Dec 17 4:00-5:00 Wed Dec 18 3:00-4:00 The final is Thurs Dec 19 1:30-3:30 in our usual room Grades as they're available Quiz solutions: s01.pdf s02.pdf s03.pdf s04.pdf ... s11.pdf This course uses my book I've developed for this course. ... [ some errata in first printing remaining errata in second printing Snippets of code for basic number-theoretic algorithms . A little interactive stuff , including some small computational assists in lieu of other computing resources. Introduction to cryptology, number-theory, algebra, and algorithms. Protocols. Symmetric versus asymmetric systems. Stream, block ciphers. One-way functions, signatures. Key management issues. DES, AES (Rijndael). (Pseudo-) random number generation. Permutation groups, primes, Euclidean algorithm, finite fields, quadratic reciprocity. Discrete logs, RSA, pseudoprimes, rho method. Elliptic curve methods. Quadratic sieve. And so on and so on... [3:35-5:00 in Science Classroom Building 175] Supplementary references/sources/links Grading: We'll have a take-home quiz each week (given out Monday, collected Wednesday)

54. The USC Number Theory Home Page
    s in number theory Description number theory Group. Members, research interests, courses, links.Category Science Math number theory Research Groups I also have interests in the application of these results to gap problemsin number theory. Graduate Course  
    http://www.math.sc.edu/~filaseta/numthry.html
    
    Extractions: Number Theorists On Our Faculty Graduate Course Descriptions (in Number Theory) More About Our Department And University Some Other Links Of Interest ... Michael Filaseta Research Interests: Number Theory, including Analytic, Classical Algebraic, Combinatorial, Computational, Elementary, and Transcedence topics. I have particular interests in results associated with lattice points close to (or on) a curve or surface, the distribution of special sequences of integers in short intervals, applications of Pade approximations to Number Theory, the irreducibility of polynomials over the rationals, and computations with sparse or lacunary polynomials. Richard Hudson Research Interests: elementary number theory, analytic prime number theory, quadratic forms, class number formulae, forms of higher order, quadratic and higher power residues, comparative prime number theory, Gauss and Jacobi sums, computer results in number theory. Kate Hurley Research Interests: My research concerns modularity properties of VOAs. One can associate a q-graded function called a graded trace or one-point correlation function to a given VOA, and in some cases these functions are modular forms. I have worked on determining which modular forms are realized as graded traces. An additional recent interest of mine is inverse Galois theory. Charles Nicol (Retired but still collaborating in research) Research Interests: aspects of Computational and Elementary Number Theory, including work on cyclotomic polynomials, Euler's phi function, and problems related to digits in integer sequences.

55. Math 780 Material
    Lecture notes by Michael Filaseta, University of South Carolina, Fall 1997 (PS).Category Science Math number theory EducationMath 780 Elementary number theory. A postcript version of the coursedescription can be obtained below. Class notes (55 pages) can  
    http://www.math.sc.edu/~filaseta/gradcourses/Math780.html

56. 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

57. Algebraic Number Theory
    Course notes by Robin Chapman, University of Exeter, May 2000.Category Science Math number theory AlgebraicMAS4002 Algebraic number theory. This is the home page for the Algebraicnumber theory course. At present it is still under construction.  
    http://www.maths.ex.ac.uk/~rjc/courses/ant99/ant99.html
    
    Extractions: This is the home page for the Algebraic Number Theory course. At present it is still under construction. Eventually it will contain copies of course handouts, commentaries on some of my more challenging problems, and useful links. Most files are in dvi format. The course will be closely based on the following book: Ian Stewart and David Tall, Algebraic Number Theory , Chapman and Hall. Alas the paperback is out of print (and the hardback is overpriced) but the following alternative is very cheap (but a bit old-fashioned): Harry Pollard and Harold G. Diamond, The Theory of Algebraic Numbers , Dover. Robin Chapman

58. Jim Loy's Mathematics Page
    Articles on geometry, algebra, number theory, and many other branches of mathematics.  
    http://www.jimloy.com/math/math.htm
    
    Extractions: Go to my home page "He must be a 'practical' man who can see no poetry in mathematics." - W.F. White Dedicated to the memory of Isaac Asimov. See the top of my Science pages for comments on Dr. Asimov. My Mathematics pages were described briefly in the Math Forum Internet News No. 5.48 (27 November 2000) There are no uninteresting numbers. Assume that there are. Then there is a lowest uninteresting number. That would make that number very interesting. Which is a contradiction. Sequences and Series: Complex (and Imaginary) Numbers: Others: Surprise?

59. Number Theory
    Lecture notes by Nigel Byott, University of Exeter (DVI,PDF,PS).Category Science Math number theory EducationModule Homepage for MAS3008 number theory 2002/2003. Old examination papers.number theory Examination, Summer 2002, as .dvi or .ps or .pdf.  
    http://www.maths.ex.ac.uk/~NPByott/teaching/NT.html
    
    Extractions: A handout giving details of lecture times, assessment schedule, brief syllabus, booklist etc, is available here as .dvi or .ps or .pdf The Examples Sheets and other handouts will appear here (as .dvi, .ps or .pdf files) as the module progresses. Solutions to Examples Sheets: MAPLE work. Optional MAPLE Exercises, as .dvi or .ps or .pdf Executable MAPLE Worksheet with solutions to these exercises. You will probably need to save this as a file in order to run it in MAPLE. Same thing, as

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 : F(n)= p-1 k=1 k n(p-1)+1 -n(n-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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