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An Introduction to the Theory of Numbers 6th ed. H 644 p. 08

Heath-Brown, Roger 　編

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発行年月	2008年07月
出版社／提供元	Oxford University Press
出版国	イギリス
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	644 p.
ジャンル	洋書／理工学／数学／代数学
ISBN	9780199219858
商品コード	0200798602
本の性格	テキスト
新刊案内掲載月	2008年03月
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200798602

内容

An Introduction to the Theory of Numbers by G.H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D.R. Heath-Brown this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today's students through the key milestones and developments in number theory. Updates include a chapter by J.H. Silverman on one of the most important developments in number theory — modular elliptic curves and their role in the proof of Fermat's Last Theorem — a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader The text retains the style and clarity of previous editions making it highly suitable for undergraduates in mathematics from the first year upwards as well as an essential reference for all number theorists.

PREFACE TO THE SIXTH EDITION; PREFACE TO THE FIFTH EDITION; 1. TheSeries of Primes (1); 2. The Series of Primes (2); 3. Farey Series and aTheorem of Minkowski; 4. Irrational Numbers; 5. Congruences and Residues; 6.Fermat's Theorem and its Consequences; 7. General Properties of Congruences;8. Congruences to Composite Moduli; 9. The Representation of Numbers byDecimals; 10. Continued Fractions; 11. Approximation of Irrationals byRationals; 12. The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p);13. Some Diophantine Equations; 14. Quadratic Fields (1); 15. QuadraticFields (2); 16. The Arithmetical Functions o(n), (n), *d(n), sigma(n), r(n);17. Generating Functions of Arithmetical Functions; 18. The Order ofMagnitude of Arithmetical Functions; 19. Partitions; 20. The Representationof a Number by Two or Four Squares; 21. Representation by Cubes and HigherPowers; 22. The Series of Primes (3); 23. Kronecker's Theorem; 24. Geometryof Numbers; 25. Elliptic Curves; APPENDIX; LIST OF BOOKS; INDEX OF SPECIALSYMBOLS AND WORDS; INDEX OF NAMES; GENERAL INDEX

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