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    Science > Math > Publications > Books  (8)

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  A Computational Introduction to Number Theory and Algebra http://shoup.net/ntb/
By Victor Shoup (Cambridge University Press, 2005). Full text free in PDF, list of errata, supplementary exercises.
  eBooks in Number Theory http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm
Mainly connected with Smarandache problems. PDF, HTML, WORD, WP, TeXT formats.
  The Third Edition of the Cunningham Book http://www.cerias.purdue.edu/homes/ssw/cun/third/
Factorizations of bn ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12, up to High Powers, by John Brillhart, D.H. Lehmer, J.L. Selfridge, Bryant Tuckerman, and S.S. Wagstaff, Jr. An electronic book: links to full text [PDF] and tables.
  Area, Lattice Points, and Exponential Sums http://www.cf.ac.uk/maths/people/huxley1.html
Martin Huxley (OUP/LMS, 1996). Author's page with summary and errata.
  Sphere Packing, Lattices and Groups http://www.research.att.com/~njas/doc/splag.html
J. H. Conway and N. J. A. Sloane (Springer, 1998). Contents, errata (including a missing page), updated tables and database.
  Factorizations of b^n+/-1 http://www.ams.org/online_bks/conm22/
b=2,3,5,6,7,10,11,12 Up to High Powers.By John Brillhart, D.H. Lehmer, J.L. Selfridge, Bryant Tuckerman and S.S. Wagstaff, Jr. Third edition, AMS, 2002. Complete text available for free download in PDF.
  Elliptic Curves: Number Theory and Cryptography http://www.math.umd.edu/~lcw/ec.html
By Larry Washington (Chapman+Hall/CRC, 2003). Contents, errata.
  Notes on Fermat's Last Theorem http://www.maths.mq.edu.au/~alf/NotesonFLT.html
Alf van der Poorten (Wiley, 1996). Contents, reviews.
  Paul Garrett's Crypto and Number Theory Lecture Notes http://www.math.umn.edu/~garrett/crypto/
Introduction to cryptology, number-theory, and algorithms. Protocols. Symmetric versus asymmetric systems. Stream, block ciphers. One-way functions, signatures. Key management. (Pseudo-) random number generation. Permutation groups. Primes, Euclidean algorithm. Finite fields. Quadratic reciprocity. Discrete logs, RSA. Pseudoprimes, rho method. Elliptic curve methods.
  Algorithmic Number Theory http://www.cs.uwaterloo.ca/~shallit/ant.html
Eric Bach and Jeffrey Shallit. Errata, bibliography in BibTeX format.
  A Friendly Introduction to Number Theory http://www.math.brown.edu/~jhs/frint.html
J.H. Silverman. Contents, preface, errata, further material.
  Local Fields and Their Extensions, Second Edition http://www.dpmms.cam.ac.uk/Algebraic-Number-Theory/0319/
I.B. Fesenko, S.V. Vostokov. PostScript.
  Introduction to the Theory of Numbers http://www.mathpropress.com/HardyAndWright.html
G.H. Hardy and E.M. Wright. Index to the classic text (4th/5th edition 1979) which was never published by OUP. HTML, DVI, PS.
  Primes of the Form x^2 + ny^2 http://www.cs.amherst.edu/~dac/primes.html
By David A. Cox, Amherst College (Wiley, 1989). Errata.
  Introduction to Cyclotomic Fields http://www.math.umd.edu/~lcw/cyclo.html
2nd ed. by Larry Washington (Springer). Errata.
  Automorphic Forms and Representations http://math.stanford.edu/~bump/book.html
Dan Bump. Errata, contents, virtual study group.
  Recurrence Sequences http://www.mth.uea.ac.uk/sequences/
Graham Everest, Alf van der Poorten, Igor Shparlinski and Thomas Ward (AMS, 2003). AMS Surveys and Monographs, volume 104. Table of contents and introduction (PDF, HTML), reviews.
  An Introduction to Number Theory http://www.mth.uea.ac.uk/arithmetic/
By G. Everest and T. Ward. Springer, 2005. Table of contents and introduction in PDF.
  Reciprocity Laws from Euler to Eisenstein http://www.rzuser.uni-heidelberg.de/~hb3/rec.html
Franz Lemmermeyer (Springer, 2000). Contents, bibliography, errata.
  The Prime Number Theorem http://www.maths.lancs.ac.uk/~jameson/pntdescr/
By G.J.O. Jameson, Cambridge University Press (2003). Preface, table of contents, chapter introductions; errata.
  An Invitation to Arithmetic Geometry http://www.math.uga.edu/~lorenz/book.html
Dino Lorenzini. Additions, corrections, review, preface.
  Gauss and Jacobi Sums http://math.ucsd.edu/~revans/errata/errata.html
Bruce C. Berndt, Ronald J. Evans, and Kenneth S. Williams (Wiley, 1998). Contents, errata, remarks, reviews.
  Collected Papers of Sarvadaman Chowla http://www.canisius.edu/~huard/chowla.html
Edited by James G. Huard and Kenneth S. Williams. Contents.
  Taming Wild Extensions http://math.albany.edu:8000/~lc802/mono.html
By Lindsay N. Childs. Introduction.
  Fundamental Number Theory with Applications http://www.math.ucalgary.ca/~ramollin/fnt2.html
Richard A. Mollin. Contents.
  Discovering Number Theory http://math.la.asu.edu/~jj/dnt/
A textbook by John Jones and Jeff Holt.
  Voronoi's Impact on Modern Science http://www.imath.kiev.ua/~syta/vorbook.html
Edited by P.Engel and H.Syta. Contents, ordering information.
  Antwerp IV http://modular.fas.harvard.edu/Tables/antwerp/
Modular Forms of One Variable vol.IV, Bryan Birch and Willem Kuyk edd (Springer) scanned by William Stein.
  Analytic Number Theory and Applications http://wain.mi.ras.ru/mian218.htm
To Prof. Anatolii Alexeevich Karatsuba on the occasion of his 60th birthday. A collection of papers in DVI and PostScript format.

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