Books about the Theory of Numbers

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Algorithmic Number Theory

Eric Bach and Jeffrey Shallit. Errata, bibliography in BibTeX format.

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.

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.

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.

Discovering Number Theory

A textbook by John Jones and Jeff Holt.

eBooks in Number Theory

Mainly connected with Smarandache problems. PDF, HTML, WORD, WP, TeXT formats.

Elliptic Curves: Number Theory and Cryptography

By Larry Washington (Chapman+Hall/CRC, 2003). Contents, errata.

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.

A Friendly Introduction to Number Theory

J.H. Silverman. Contents, preface, errata, further material.

Fundamental Number Theory with Applications

Richard A. Mollin. Contents.

Gauss and Jacobi Sums

Bruce C. Berndt, Ronald J. Evans, and Kenneth S. Williams (Wiley, 1998). Contents, errata, remarks, reviews.

Introduction to Cyclotomic Fields

2nd ed. by Larry Washington (Springer). Errata.

Local Fields and Their Extensions, Second Edition

I.B. Fesenko, S.V. Vostokov. PDF files.

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.

Primes of the Form x^2 + ny^2

By David A. Cox, Amherst College (Wiley, 1989). Errata.

Reciprocity Laws from Euler to Eisenstein

Franz Lemmermeyer (Springer, 2000). Contents, bibliography, errata.

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.

Taming Wild Extensions

By Lindsay N. Childs. Introduction.

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.

Voronoi's Impact on Modern Science

Edited by P.Engel and H.Syta. Contents, ordering information.

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