Additive number theory : The classical bases

Includes index

Includes bibliography (p. 331-339) references.

1. Sums of Polygons
2. Waring's Problem for Cubes
3. The Hilbert-Waring Theorem
4. Weyl's Inequality
5. The Hardy-Littlewood Asymptotic Formula
6. Elementary Estimates for Primes
7. The Shnirel'man-Goldbach Theorem
8. Sums of Three Primes
9. The Linear Sieve
10. Chen's Theorem A Arithmetic Functions.

The purpose of this book is to describe the classical problems in additive number theory, and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools to attack these problems. This book is intended for students who want to learn additive number theory, not for experts who already know it. The prerequisites for this book are undergraduate courses in number theory and real analysis.