Books about the Theory of Numbers
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- 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.