A course in number theory
著者
書誌事項
A course in number theory
（Oxford science publications）
Clarendon Press , Oxford University Press, 1995, c1994
2nd ed
- : pbk
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注記
Includes bibliography (p. [389]-393), index of notation, and general index
内容説明・目次
内容説明
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.
目次
- 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
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