An Introduction to the Theory of Numbers (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
656
Utgivningsdatum
2008-07-01
Upplaga
6
Förlag
OUP Oxford
Medarbetare
Wright, E. M. / Heath-Brown, Roger / Silverman, Joseph / Wiles, Andrew
Illustrationer
illustrations
Dimensioner
235 x 155 x 35 mm
Vikt
1040 g
Antal komponenter
1
ISBN
9780199219865
An Introduction to the Theory of Numbers (häftad)

An Introduction to the Theory of Numbers

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Häftad, Engelska, 2008-07-01
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The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat's Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.
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Nature Review from previous edition Mathematicians of all kinds will find the book pleasant and stimulating reading, and even experts on the theory of numbers will find that the authors have something new to say on many of the topics they have selected... Each chapter is a model of clear exposition, and the notes at the ends of the chapters, with the references and suggestions for further reading, are invaluable.

Mathematical Gazette This fascinating book... gives a full, vivid and exciting account of its subject, as far as this can be done without using too much advanced theory.

Mathematical Reviews ...an important reference work... which is certain to continue its long and successful life...

Matyc Journal ...remains invaluable as a first course on the subject, and as a source of food for thought for anyone wishing to strike out on his own.

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Övrig information

<br>Roger Heath-Brown F.R.S. was born in 1952, and is currently Professor of <br>Pure Mathematics at Oxford University. He works in analytic number <br>theory, and in particular on its applications to prime numbers and to <br>Diophantine equations.<br>

Innehållsförteckning

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