An Introduction to the Theory of Numbers
by Hardy, G. H.; Wright, Edward M.; Heath-Brown, Roger; Silverman, Joseph; Wiles, Andrew-
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Summary
Author Biography
Roger Heath-Brown F.R.S. was born in 1952, and is currently Professor of
Pure Mathematics at Oxford University. He works in analytic number
theory, and in particular on its applications to prime numbers and to
Diophantine equations.
Table of Contents
| Preface to the sixth edition Andrew Wiles Preface to the fifth edition | |
| The Series of Primes (1) | |
| The Series of Primes (2) | |
| Farey Series and a Theorem of Minkowski | |
| Irrational Numbers | |
| Congruences and Residues | |
| Fermat's Theorem and its Consequences | |
| General Properties of Congruences | |
| Congruences to Composite Moduli | |
| The Representation of Numbers by Decimals | |
| Continued Fractions | |
| Approximation of Irrationals by Rationals | |
| The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p) | |
| Some Diophantine Equations | |
| Quadratic Fields (1) | |
| Quadratic Fields (2) | |
| The Arithmetical Functions ø(n), m(n), d(n), ¿(n), r(n) | |
| Generating Functions of Arithmetical Functions | |
| The Order of Magnitude of Arithmetical Functions | |
| Partitions | |
| The Representation of a Number by Two or Four Squares | |
| Representation by Cubes and Higher Powers | |
| The Series of Primes (3) | |
| Kronecker's Theorem | |
| Geometry of Numbers | |
| Elliptic Curves, Joseph H. Silverman | |
| Appendix | |
| List of Books | |
| Index of Special | |
| Symbols and Words | |
| Index of Names General | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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