Godfrey H. Hardy and Edward M. Wright

Edited by Roger Heath-Brown, Joseph Silverman and Andrew Wiles

**Preface to the sixth edition**Andrew 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 <i>k</i>(l), <i>k</i>(i), and
<i>k</i>(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), <i>r</i>(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**

There are no Instructor/Student Resources available at this time.

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.

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