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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. |
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eBooks in Number Theory - http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm
Mainly connected with Smarandache problems. PDF, HTML, WORD, WP, TeXT formats. |
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A Friendly Introduction to Number Theory - http://www.math.brown.edu/~jhs/frint.html
J.H. Silverman. Contents, preface, errata, further material. |
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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. |
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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. |
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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. |
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Local Fields and Their Extensions, Second Edition - http://www.dpmms.cam.ac.uk/Algebraic-Number-Theory/0319/
I.B. Fesenko, S.V. Vostokov. PostScript. |
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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. |
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Notes on Fermat's Last Theorem - http://www.maths.mq.edu.au/~alf/NotesonFLT.html
Alf van der Poorten (Wiley, 1996). Contents, reviews. |
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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. |
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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. |
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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. |
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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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An Invitation to Arithmetic Geometry - http://www.math.uga.edu/~lorenz/book.html
Dino Lorenzini. Additions, corrections, review, preface. |
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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. |
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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. |
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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. |
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Taming Wild Extensions - http://math.albany.edu:8000/~lc802/mono.html
By Lindsay N. Childs. Introduction. |
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Collected Papers of Sarvadaman Chowla - http://www.canisius.edu/~huard/chowla.html
Edited by James G. Huard and Kenneth S. Williams. Contents. |
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Voronoi's Impact on Modern Science - http://www.imath.kiev.ua/~syta/vorbook.html
Edited by P.Engel and H.Syta. Contents, ordering information. |