■ Features ■
- Much-needed update of a classic text
- Extensive end-of-chapter notes
- Suggestions for further reading for the more avid reader
- New chapter on one of the most important developments in number theory and its role in the proof of Fermat's Last Theorem
Preface to the sixth editionAndrew Wiles:
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 ø(n), μ(n), *d(n), σ(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: Joseph H. Silverman: Elliptic Curves
Appendix
List of Books
Index of Special Symbols and Words
Index of Names
General Index
