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 algorithm. Finite fields. Quadratic reciprocity. Discrete logs, RSA. Pseudoprimes, rho method. Elliptic curve methods. Reciprocity Laws from Euler to Eisenstein - Franz Lemmermeyer (Springer, 2000). Contents, bibliography, errata. A Friendly Introduction to Number Theory - J.H. Silverman. Contents, preface, errata, further material. Gauss and Jacobi Sums - Bruce C. Berndt, Ronald J. Evans, and Kenneth S. Williams (Wiley, 1998). Contents, errata, remarks, reviews. Automorphic Forms and Representations - Dan Bump. Errata, contents, virtual study group. Collected Papers of Sarvadaman Chowla - Edited by James G. Huard and Kenneth S. Williams. Contents. Voronoi's Impact on Modern Science - Edited by P.Engel and H.Syta. Contents, ordering information. Discovering Number Theory - A textbook by John Jones and Jeff Holt. 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. Taming Wild Extensions - By Lindsay N. Childs. Introduction. Primes of the Form x^2 + ny^2 - By David A. Cox, Amherst College (Wiley, 1989). Errata. 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. 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. Introduction to Cyclotomic Fields - 2nd ed. by Larry Washington (Springer). Errata. Elliptic Curves: Number Theory and Cryptography - By Larry Washington (Chapman+Hall/CRC, 2003). Contents, errata. Algorithmic Number Theory - Eric Bach and Jeffrey Shallit. Errata, bibliography in BibTeX format. 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. eBooks in Number Theory - Mainly connected with Smarandache problems. PDF, HTML, WORD, WP, TeXT formats. Local Fields and Their Extensions, Second Edition - I.B. Fesenko, S.V. Vostokov. PDF files. Fundamental Number Theory with Applications - Richard A. Mollin. Contents. 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.