An introduction to the theory of numbers
 Author/Creator
 Hardy, G. H. (Godfrey Harold), 18771947.
 Language
 English.
 Edition
 6th ed. / [revised by D.R. HeathBrown and J.H. Silverman]
 Imprint
 Oxford ; New York : Oxford University Press, 2008.
 Physical description
 xxi, 621 p. : ill. ; 25 cm.
 Series
 Oxford mathematics.
Access
Available online
Course reserve
 Course
 MATH15201  Elementary Theory of Numbers
 Instructor(s)
 Soundararajan, Kannan

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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [597]600) and indexes.
 Contents

 PREFACE TO THE SIXTH EDITION PREFACE TO THE FIFTH EDITION 1. The Series of Primes (1) 2. The Series of Primes (2) 3. Farey Series and a Theorem 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 by Decimals 10. Continued Fractions 11. Approximation of Irrationals by Rationals 12. The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p) 13. Some Diophantine Equations 14. Quadratic Fields (1) 15. Quadratic Fields (2) 16. The Arithmetical Functions o(n), (n), *d(n), sigma(n), r(n) 17. Generating Functions of Arithmetical Functions 18. The Order of Magnitude of Arithmetical Functions 19. Partitions 20. The Representation of a Number by Two or Four Squares 21. Representation by Cubes and Higher Powers 22. The Series of Primes (3) 23. Kronecker's Theorem 24. Geometry of Numbers 25. Elliptic Curves APPENDIX LIST OF BOOKS INDEX OF SPECIAL SYMBOLS AND WORDS INDEX OF NAMES GENERAL INDEX.
 (source: Nielsen Book Data)
 Publisher's Summary
 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. HeathBrown 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 endofchapter 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.
(source: Nielsen Book Data)
Subjects
 Subject
 Number theory.
Bibliographic information
 Publication date
 2008
 Responsibility
 by G.H. Hardy and E.M. Wright.
 Series
 Oxford mathematics
 Note
 Previous ed.: 1979.
 ISBN
 9780199219865
 0199219869
 9780199219858
 0199219850