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Number Theory: more books (100)

Algebraic Number Theory (Grundlehren der mathematischen Wissenschaften) (v. 322) by Jürgen Neukirch, 1999-06-22

Integers and Theory of Numbers (Phoenix Edition) by Abraham A. Fraenkel, 2004-06-10

Essays on the Theory of Numbers by Richard Dedekind, 2009-12-26

Class Field Theory: From Theory to Practice (Springer Monographs in Mathematics) by Georges Gras, 2010-11-02

An Adventurer's Guide to Number Theory by Richard Friedberg, 1995-01-09

Number theory;: An introduction to proof by Charles Vanden Eynden, 1970

Introductory Algebraic Number Theory by Saban Alaca, Kenneth S. Williams, 2003-11-17

Modern Elementary Theory of Numbers by Leonard E. Dickson, 1939-12

Biscuits of Number Theory (Dolciani Mathematical Expositions) by Arthur T. Benjamin, Ezra Brown, 2008-12-16

Algebraic Number Theory (Cambridge Studies in Advanced Mathematics) by A. Fröhlich, M. J. Taylor, 1993-02-26

Three Pearls of Number Theory by A. Y. Khinchin, 2010-07-21

Number Theory With Applications by James A. Anderson, James M. Bell, 1997-02

Number Theory: An approach through history from Hammurapi to Legendre (Modern Birkhäuser Classics) by André Weil, 2006-12-22

Elementary Number Theory, Cryptography and Codes (Universitext) by M. Welleda Baldoni, Ciro Ciliberto, et all 2008-12-09

lists with details

Five College Number Theory Seminar
Meets regularly in Massachusetts. Programme, some abstracts.Category Science Math number theory EventsFive College number theory Seminar 20022003. Conference in honor of David HayesNovember 15-17, UMass Amherst. number theory and combinatorics. March 18.
http://www.math.umass.edu/~siman/seminar.html

Extractions: November 15-17, UMass Amherst Where and When Five College Number Theory Seminar talks are generally held at Amherst College in the Seeley Mudd building , which houses Amherst College's Department of Mathematics and Computer Science. Unless noted otherwise, all talks take place at 4:00 p.m. in room Seeley-Mudd 207 . Refreshments are served at 3:30 p.m. in Seeley-Mudd 208. Driving Direction to Amherst College Campus map of Amherst College Map of Lord Jeffrey Inn Parking Directions To find the parking lot in back of Seeley Mudd, drive east on College Street (Route 9) past the Amherst town common on your left. Two blocks after the common, turn right onto the College campus (just before you go under a railroad overpass). Take your second right and follow it until the road ends at the Seeley Mudd parking lot. From the parking lot, take the stairs in the Life Sciences building, just to the right of Seeley Mudd, up one flight, exit and turn left toward Seeley Mudd. Campus maps for Hampshire, Mt. Holyoke, Smith, and UMass
Coding Theory And Cryptography
David Joyner, editor. Proceedings of the 'Conference on Coding Theory, Cryptography, and number theory' held at the U.S. Naval Academy during October 2526, 1998
http://www.springer-ny.com/detail.tpl?isbn=3540663363
Elementary And Analytic Number Theory
Lecture notes by William Chen, used at Imperial College, University of London (PDF).Category Science Math number theory EducationElementary and Analytic number theory. by WWL Chen. This set of noteshas been renamed and moved. For access, please click here.
http://www.maths.mq.edu.au/~wchen/lneantfolder/lneant.html
ONLINE THESES IN NUMBER THEORY
~35 items.
http://www.maths.uq.edu.au/~krm/N5.html

Extractions: Modular Hyperelliptic Curves Slopes of overconvergent modular forms , PhD thesis, Lloyd Kilford, Imperial College of Science, Technology and Medicine, 2002 Orthogonal Epsilon Constants For Tame Actions of Finite Groups on Surfaces , PhD thesis, Darren Glass, University of Pennsylvania 2002 Limit Theorems in Metric Diophantine Approximation , PhD-thesis, Michael Fuchs, Vienna University of Technology 2002 A splitting criterion for Galois representations associated to exceptional modular forms , PhD thesis, Ken McMurdy, Berkeley 2001 Algebraic curves, Riemann hypothesis and coding , Diploma Thesis, Marios Magioladitis, University of Crete, 2001 Counting Rational Points on Curves and Surfaces , DPhil. Thesis, Tim Browning, Oxford 2001 Explicit Arithmetic of Brauer Groups: Ray Class Fields and Index Calculus Efficient Arithmetic on Hyperelliptic Curves , PhD thesis, Tanja Lange, Essen 2001 Sur les fonctions L de formes modulaires On the image of Lambda-adic Galois representations , PhD thesis, Ami Fischman, UCLA 2001 On p-adic Hilbert modular adjoint L-functions , PhD thesis, Hsin-Tai Wu, UCLA 2001 (pdf 555K) Representations of unitary groups and associated Galois representations , PhD thesis, Andrew Knightly, UCLA 2000 Forms in many variables over p-adic fields , PhD thesis, Michael Knapp, University of Michigan, 2000 , PhD thesis, Stephan Baier, FU-Berlin 2000 Masters thesis, Michael Fuchs, Vienna University of Technology 2000
Introduction To Number Theory
Franz Lemmermeyer. Fall semester 2001, CSU San Marcos. Notes in PDF with additional web resources.Category Science Math number theory EducationMath 372 Introduction to number theory. For more books on number theory that areout of print, search for number theory at the Advanced Books Exchange.
http://public.csusm.edu/public/FranzL/M372.html

Extractions: Office : Craven 2219 Email franzl@csusm.edu Office Hours : MW 1pm - 2pm, TR 3pm - 4pm Texts: here are my notes for Fall 2001 (new algebra-free version Nov. 2001); from Chap. 1 - 3, we only discuss 2.5 on divisibility in Z (the rest is an introduction to N, Z and Q). Disregard the references in the notes - they refer to chapters that are not yet implemented. You may also want to look at last year's manuscript . A nice book on number theory, algebra, and applications is Childs, A Concrete Introduction to Higher Algebra ; you can find used copies between $ 15 and $ 30 at the Advanced Books Exchange . As of today (Sept. 7, 2001), there's a copy on reserve in the library. This will also be suggested reading for next semester's Math 521 on error-correcting codes. We shall start with congruences and unique factorization and discuss various applications to Diophantine equations and cryptography. The final goal is the quadratic reciprocity law. Exam 1 (20%), Exam 2 (20%), Final Exam (30%)
NUMBER THEORY CONFERENCES, NEW AND OLD
Part of the number theory Web, compiled by Keith Matthews.
http://www.maths.uq.edu.au/~krm/N3.html

Extractions: Secondo Convegno Italiano di Teoria dei Numeri , 13-15 November 2003, Parma Non-commutative aspects of number theory , August 28 - September 5, 2003, University of Durham Tatracrypt '03 , June 26-28, 2003, Bratislava , (Algorithms for Number Fields and Curves) June 20-21, 2003, Caen, France Workshop on Computational Arithmetic Geometry , June 18-20, 2003, University of Sydney, Australia The Web of Modularity , NSF-CBMS conference, June 3-7, 2003, University of Illinois at Urbana Champaign Summer Program on Mahler's Measure of Polynomials , June 2-29, 2003, Simon Fraser University Conference in Number Theory in Honour of Professor H.C. Williams , Banff, May 24-30, 2003 Thematic program on automorphic forms , The Fields Institute, January-June 2003 Colloque ''Jeunes'': formes modulaires et transcendance , May 26-30, 2003, CIRM, Luminy-Marseille 2003 Geometry and arithmetic over finite fields , an AMS special session, San Francisco, May 3-4, 2003 One day meeting on Cryptographic Number Theory , 4th April 2003, Royal Holloway University of London , 4th April 2003, Royal Holloway University of London AMS special session on cryptography and computational and algorithmic number theory , April 4-6, 2003, Indiana University Special week of DEA mini-courses in number theory and ergodic theory , March 24-28, 2003, Strasbourg The Lenstra Treurfeest - A farewell conference , March 21-23, 2003, MSRI and U.C. Berkeley
G13NUM: NUMBER THEORY
By John Cremona, University of Nottingham (PDF, PS).Category Science Math number theory EducationG13NUM number theory. Module aims To provide an an introduction to number theory,including elementary theory and some advanced topics and applications.
http://www.maths.nott.ac.uk/personal/jec/courses/G13NUM/

Extractions: Information Handouts Coursework Assessment ... Links Credits Duration : 33 lectures, three lectures a week in Autumn Semester, starting Monday 30/9/2002 Lecturer : Prof J. E. Cremona Lecture times Office hours : To be arranged (C100). Brief content description: This is a first module in number theory, the study of problems concerning integers, including such topics as solutions of equations in integers, functions of an integer variable, and the distribution of special types of integers. The module includes topics such as unique factorization , linear congruences , quadratic congruences, the quadratic reciprocity law Gaussian integers Diophantine equations p -adic integers. Prerequisites: Module aims: To provide an an introduction to number theory, including elementary theory and some advanced topics and applications. Module objectives: By the end of the module, students should:
Courses
Course Notes by Ivan Fesenko, University of Nottingham. PS, PDF.Category Science Math number theory Education Introduction to number theory ps file (495K); Introduction to numbertheory - pdf file (242K) This is a first course in number theory.
http://www.maths.nott.ac.uk/personal/ibf/courses.html

Extractions: Introduction to number theory - ps file (495K) Introduction to number theory - pdf file (242K) This is a first course in number theory. It includes p-adic numbers. Commutative algebra - ps file (381K) Commutative algebra - pdf file (202K) This course is an introduction to modules over rings, Noetherian modules, unique factorization domains and polynomial rings over them, modules over principal ideal domains; spectrum of rings and their interpretations, localization; field extensions. Introduction to algebraic number theory - ps file (432K) Introduction to algebraic number theory - pdf file (193K) This course (36 hours) is a relatively elementary course which requires minimal prerequisites from Commutative Algebra (see above) for its understanding. Integrality over rings, algebraic extensions of fields, field isomorphisms, norms and traces are discussed in the second part. Dedekind rings, factorization in Dedekind rings, norms of ideals, splitting of prime ideals in field extensions, finiteness of the ideal class group and Dirichlet's theorem on units are treated in the second part. Homological algebra - ps file (479K) Homological algebra - pdf file (228K) This is a very short introduction to homological algebra This course (25 hours) presents categories, functors, chain complexes, homologies, free, projective and injective obejcts in the category of modules over a ring, projective and injective resolutions, derived functors, Tor and Ext, cohomologies of modules over a finite group, restriction and corestriction.
Number Theory Web (Japanese Site)
The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set.
http://ntw.e-one.uec.ac.jp/ntw/web.html
Math Applets: IntegerZone And TenBlocks
TenBlocks turns the times tables into a series of puzzles. IntegerZone lets users explore aspects of arithmetic and number theory using the integers themselves as the interface.
http://www.1729.com/applets/

Extractions: The Java programming language creates opportunities that have not previously existed - it is a high-level language, with a freely distributed development kit and run-time engine. By writing code in the form of Java applets, distributing code to users is as easy as getting them to view a web page, and they can execute your code at little or no risk to their own system, because of Java's built in security features. TenBlocks presents the multiplication table as a series of simple puzzles: for each multiplication problem, present it as a grid of squares of the corresponding height and width, and require the user to fill it in with blocks of ten squares of two basic shapes, until there are less than ten squares left unfilled. The hardest one seems to be 9 times 9, because you can only have one square left over when you are finished.
Visible Structures In Number Theory
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.Category Science Math number theorynext Next Abstract. Visible Structures in number theory. Peter BorweinLoki Jörgenson. Centre for Experimental. Constructive Mathematics.
http://www.cecm.sfu.ca/~loki/Papers/Numbers/

Extractions: ABSTRACT Number theorists have been interested in the characteristics of numerical constants like and for centuries. These numbers, real irrationals, are composed of an unending string of digits in a specific but seemingly random order. As statistical methods and traditional analysis have revealed very little, it has been proposed that the natural visual capacities of human perception be employed to search for complex correlations in the numerical distributions. Keywords irrationality, continued fractions, zero/one polynomi als, visualization
Home Page Of Temenoujka Peneva
Analytic number theory.
http://geocities.com/tpeneva

Extractions: Back to the top of this page An Additive Problem with Piatetski-Shapiro Primes and Almost-Primes [ps] Corrigendum: " On the Exceptional Set for Goldbach's Problem in Short Intervals [ps] On the Exceptional Set for Goldbach's Problem in Short Intervals On the Ternary Goldbach Problem with Primes p i such that p i +2 are Almost-Primes , Acta Mathematica Hungarica 86 (4) (2000), 305-318. An Additive Problem with Primes and Almost-Primes (with D. I. Tolev), Acta Arithmetica 83 (2) (1998), 155-169. An Additive Problem with Piatetski-Shapiro Primes and Almost-Primes , in Proceedings of the Symposium on New Aspects of Analytic Number Theory (Kyoto, 2001), Surikaisekikenkyusho Kokyuroku 1274 (2002), 193-201. On the Exceptional Set in Goldbach's Problem , in Proceedings of the Symposium on Analytic Number Theory and Related Topics (Kyoto, 1999), Surikaisekikenkyusho Kokyuroku 1160 (2000), 32-39.
Simon Fraser University Department Of Mathematics
number theory Group. Members, meetings, courses.Category Science Math number theory Research Groupsnumber theory Group. · Postdoctoral Positions available 2003. · number theorySeminars. · PIMS Summer Program in number theory, SFU, June 2003.
http://www.cecm.sfu.ca/MRG/NTG/

Extractions: Simon Fraser University Department of Mathematics Center for Constructive and Experimental Mathematics Number Theory Group Number Theory Seminars Conference in honour of Hugh Williams ... Current Trends in Arithmetic Geometry and Number Theory PIMS has approved a Period of Concentration in Number Theory for 2003-2005 Number theory is one of the oldest, deepest and most vibrant branches of modern mathematics. It centrally incorporates some of the most sophisticated and profound mathematical ideas that have been developed (witness the recent proof of Fermat's Last Theorem) and yet remains broadly useful in many areas of pure and applied mathematics. It is remarkable how often number theory comes to bear both in other areas of mathematics and in applications. A notable recent example is internet security whose protocols are based on number theoretic problems. Number theory has historically been motivated by the study of properties of integers and solutions to equations in integers, but now includes many other aspects, each with its own flavour and viewpoints. Broadly speaking, these can be divided into Analytic, Algebraic, Diophantine, and Geometric aspects of Number Theory. Research in Number Theory today often involves knowledge and expertise from areas such as Algebra, Algebraic Geometry, Analysis
VersionUS
Conference in honour of Michel Raynaud. Orsay, 1822 June 2001.
http://www.math.u-psud.fr/~mr2001/confraynaudus.htm

Extractions: Invited speakers Ahmed Abbes, John Coates, Gerd Faltings, David Harbater, Yasutaka Ihara, Johan de Jong, Nicholas M. Katz, Barry Mazur, Vikram. B. Mehta, Laurent Moret-Bailly, Frans Oort, Michael Rapoport, Kenneth A. Ribet, Jean-Pierre Serre, Christopher Skinner, Tetsuji Shioda, Akio Tamagawa, John Tate.
Number Theory
number theory. This site features Generic Two integer variable equationsolver Diophantine equation ax 2 + bxy + cy 2 + dx + ey
http://www.alpertron.com.ar/NUMBERT.HTM

Extractions: CONTACT Personal Comments Guestbook Discussion board ... 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 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.
Vignettes On Automorphic And Modular Forms, Representations, L-functions, And Nu
By Paul Garrett.
http://www.math.umn.edu/~garrett/m/v/

Extractions: L-functions, and number theory Notes home garrett@math.umn.edu this page updated 13 Mar 03 Also: functional analysis Buildings notes algebra Representations with Iwahori-fixed vectors ] ... Borel-Matsumoto theorem and applications to irreducibility of unramified principal series and degenerate principal series representations of reductive p-adic groups. Jacquet theory ] ... Standard basic features of representation theory of p-adic reductive groups: exactness of Jacquet module functors, Jacquet's lemmas, admissibility and finite-generation of Jacquet modules of admissible finitely-generated smooth representations. Slightly non-trivial examples of Maass-Selberg relations ] ... Inner products of truncated Eisenstein series attached to spherical cuspidal-data on maximal proper parabolics in GL(n), with standard corollaries about possible poles, square-integrability of residues. Simplest example of Maass-Selberg relations ] ... The absolutely simplest case: spherical Eisenstein series for SL(2,Z), of course, assuming basic results from the theory of the constant term, paying attention to the proper notion of truncation. Standard corollaries about possible poles, square-integrability of residues, in this simple case. Eisenstein series bibliography concerning analytical properties of Eisenstein series, constant terms, Rankin-Selberg and Langlands-Shahidi integral representations of L-functions, related representation theory of reductive Lie and p-adic groups, etc.
Notes On Elementary Number Theory
By Bruce Ikenaga, Millersville University (PS).Category Science Math number theory EducationNotes on Elementary number theory. These are links to PostScript filescontaining notes for various topics in elementary number theory.
http://www.millersv.edu/~bikenaga/numth/numnote.html

Extractions: These are links to PostScript files containing notes for various topics in elementary number theory. My favorite text (and one I've used since the first edition) is Kenneth Rosen's Elementary Number Theory and Its Applications . The lecture notes follow the book fairly closely in the order of the topics. A couple of differences worth noting: I'm using a backward recurrence due to S. P. Glasby for the Extended Euclidean Algorithm, and the proof of quadratic reciprocity is due to J. S. Frame. Glasby's backward recurrence is particularly good for hand (but not necessarily machine ) computation. The current edition of Rosen's book (the 4-th edition) has a few misprints, but is pretty good. The exercises continue to be excellent, and I like the brief biographies of mathematicians mentioned in the exposition. The elementary treatment of topics (no abstract algebra required) means that the course does not have heavy prerequisites; I can expect 1020 students when we offer it every other year. How do I view/print the notes?
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.
The Canadian Number Theory Association
A loosely defined group of individuals, mainly in Canada, active in research in number theory.Category Science Math number theoryThe Canadian number theory Association. In May 1988, the first meeting of theCanadian number theory Association (CNTA) was held in Banff, Alberta.
http://members.rogers.com/superprof/cnta.html

Extractions: In May 1988, the first meeting of the Canadian Number Theory Association (CNTA) was held in Banff, Alberta. Since that time there have been 5 more meetings of CNTA in different locations across Canada. The association itself is a loosely defined group of individuals in Canada (and abroad) who are actively doing research in Number Theory and related areas of Mathematics. Unofficial Members
Home Page J. S. Milne.
Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic number theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory.
http://www.jmilne.org/math/

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