Description: A Comprehensive Course in Number Theory The author's classic concise introduction now fully updated and developed to suit courses extending from primers to introductions to research. Alan Baker (Author) 9781107019010, Cambridge University Press Hardback, published 23 August 2012 268 pages 22.9 x 15.2 x 1.9 cm, 0.57 kg '[Baker] … possesses … powerful gifts for precision and concision … [the book] never seems rushed or artificially compressed. Highly recommended.' D. V. Feldman, Choice Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies. Preface Introduction 1. Divisibility 2. Arithmetical functions 3. Congruences 4. Quadratic residues 5. Quadratic forms 6. Diophantine approximation 7. Quadratic fields 8. Diophantine equations 9. Factorization and primality testing 10. Number fields 11. Ideals 12. Units and ideal classes 13. Analytic number theory 14. On the zeros of the zeta-function 15. On the distribution of the primes 16. The sieve and circle methods 17. Elliptic curves Bibliography Index. Subject Areas: Computer science [UY], Number theory [PBH], Mathematics [PB], Coding theory & cryptology [GPJ]
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BIC Subject Area 1: Computer science [UY]
BIC Subject Area 2: Number theory [PBH]
BIC Subject Area 3: Mathematics [PB]
BIC Subject Area 4: Coding theory & cryptology [GPJ]
Number of Pages: 268 Pages
Publication Name: A Comprehensive Course in Number Theory
Language: English
Publisher: Cambridge University Press
Item Height: 229 mm
Subject: Computer Science, Mathematics
Publication Year: 2012
Type: Textbook
Item Weight: 570 g
Author: Alan Baker
Item Width: 152 mm
Format: Hardcover
