The second edition of this undergraduate textbook is now available in paperback. Covering up-to-date as well as established material, it is the only textbook which deals with all the main areas of number theory, taught in the third year of a mathematics course. Each chapter ends with a collection of problems, and hints and sketch solutions are provided at the end of the book, together with useful tables.

1. Divisibility 2. Multiplicative Functions 3. Congruence Theory 4. Quadratic Residues 5. Algebraic Topics 6. Sums of Squares and Gauss Sums 7. Continued Fractions 8. Transcendental Numbers 9. Quadratic Forms 10. Genera and the Class Group 11. Partitions 12. The Prime Numbers 13. Two Major Theorems on the Primes 14. Diophantine Equations 15. Elliptic Curves: Basic Theory 16. Elliptic Curves: Further Results and Applications Answers and Hints to Problems Tables Bibliography Index to Notation General Index

H. E. Rose , Lecturer in Mathematics, University of Bristol

`It is of interest both to students and teachers working in this field.' EMS Newsletter, No. 21, 1996 |d 02/06/1997