A comprehensive course in number theory / Alan Baker
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | New York : Cambridge University Press |
| 出版年 | 2012 |
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| 書誌ID | OB00054286 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Includes bibliographical references (p. 240-245) and index Machine generated contents note: 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. License restrictions may limit access Summary: "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"-- Provided by publisher |
| 著者標目 | *Baker, Alan 1939- |
| 件 名 | LCSH:Number theory -- Textbooks
全ての件名で検索
FREE:MATHEMATICS / Number Theory |
| 分 類 | LCC:QA241 DC23:512.7 |
| 巻冊次 | hardback ; ISBN:9781107019010 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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※2020年8月16日以降