Web Directory

» 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://shoup.net/ntb/

» A Friendly Introduction to Number Theory
   J.H. Silverman. Contents, preface, errata, further material.
   http://www.math.brown.edu/~jhs/frint.html

» Algorithmic Number Theory
   Eric Bach and Jeffrey Shallit. Errata, bibliography in BibTeX format.
   http://www.cs.uwaterloo.ca/~shallit/ant.html

» An Introduction to Number Theory
   By G. Everest and T. Ward. Springer, 2005. Table of contents and introduction in PDF.
   http://www.uea.ac.uk/menu/acad_depts/mth/arithmetic/

» An Invitation to Arithmetic Geometry
   Dino Lorenzini. Additions, corrections, review, preface.
   http://www.math.uga.edu/~lorenz/book.html

» Analytic Number Theory and Applications
   To Prof. Anatolii Alexeevich Karatsuba on the occasion of his 60th birthday. A collection of papers in DVI and PostScript format.
   http://wain.mi.ras.ru/mian218.htm

» Antwerp IV
   Modular Forms of One Variable vol.IV, Bryan Birch and Willem Kuyk edd (Springer) scanned by William Stein.
   http://modular.fas.harvard.edu/Tables/antwerp/

» Automorphic Forms and Representations
   Dan Bump. Errata, contents, virtual study group.
   http://math.stanford.edu/~bump/book.html

» Collected Papers of Sarvadaman Chowla
   Edited by James G. Huard and Kenneth S. Williams. Contents.
   http://www.canisius.edu/~huard/chowla.html

» Discovering Number Theory
   A textbook by John Jones and Jeff Holt.
   http://math.la.asu.edu/~jj/dnt/

» Elliptic Curves: Number Theory and Cryptography
   By Larry Washington (Chapman+Hall/CRC, 2003). Contents, errata.
   http://www.math.umd.edu/~lcw/ec.html

» Factorizations of b^n+/-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. Third edition, AMS, 2002. Complete text available for free download in PDF.
   http://www.ams.org/online_bks/conm22/

» Fundamental Number Theory with Applications
   Richard A. Mollin. Contents.
   http://www.math.ucalgary.ca/~ramollin/fnt2.html

» Gauss and Jacobi Sums
   Bruce C. Berndt, Ronald J. Evans, and Kenneth S. Williams (Wiley, 1998). Contents, errata, remarks, reviews.
   http://math.ucsd.edu/~revans/errata/errata.html

» Introduction to Cyclotomic Fields
   2nd ed. by Larry Washington (Springer). Errata.
   http://www.math.umd.edu/~lcw/cyclo.html

» Introduction to the Theory of Numbers
   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.
   http://www.mathpropress.com/HardyAndWright.html

» Local Fields and Their Extensions, Second Edition
   I.B. Fesenko, S.V. Vostokov. PostScript.
   http://www.dpmms.cam.ac.uk/Algebraic-Number-Theory/0319/

» Notes on Fermat's Last Theorem
   Alf van der Poorten (Wiley, 1996). Contents, reviews.
   http://www.maths.mq.edu.au/~alf/NotesonFLT.html

» Paul Garrett's Crypto and Number Theory Lecture Notes
   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 algo
   http://www.math.umn.edu/~garrett/crypto/

» Primes of the Form x^2 + ny^2
   By David A. Cox, Amherst College (Wiley, 1989). Errata.
   http://www.cs.amherst.edu/~dac/primes.html

» Reciprocity Laws from Euler to Eisenstein
   Franz Lemmermeyer (Springer, 2000). Contents, bibliography, errata.
   http://www.rzuser.uni-heidelberg.de/~hb3/rec.html

» Recurrence 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.
   http://www.uea.ac.uk/menu/acad_depts/mth/sequences/

» Sphere Packing, Lattices and Groups
   J. H. Conway and N. J. A. Sloane (Springer, 1998). Contents, errata (including a missing page), updated tables and database.
   http://www.research.att.com/~njas/doc/splag.html

» Taming Wild Extensions
   By Lindsay N. Childs. Introduction.
   http://math.albany.edu:8000/~lc802/mono.html

» The Prime Number Theorem
   By G.J.O. Jameson, Cambridge University Press (2003). Preface, table of contents, chapter introductions; errata.
   http://www.maths.lancs.ac.uk/~jameson/pntdescr/

» The Third Edition of the Cunningham Book
   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.
   http://www.cerias.purdue.edu/homes/ssw/cun/third/

» Voronoi's Impact on Modern Science
   Edited by P.Engel and H.Syta. Contents, ordering information.
   http://www.imath.kiev.ua/~syta/vorbook.html

» eBooks in Number Theory
   Mainly connected with Smarandache problems. PDF, HTML, WORD, WP, TeXT formats.
   http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm