A course in number theory
著者
書誌事項
A course in number theory
Clarendon Press, 1994
2nd ed
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注記
Includes bibliographical references (p. [389]-393) and index
内容説明・目次
内容説明
Perfect for students approaching the subject for the first time, this book offers a superb overview of number theory. Now in its second edition, it has been thoroughly updated to feature up-to-the-minute treatments of key research, such as the most recent work on Fermat's coast theorem. Topics include divisibility and multiplicative functions, congruences and quadratic resolves, the basics of algebraic numbers and sums of squares, continued fractions, diophantine approximations and transcendence, quadratic forms, partitions, the prime numbers, diophantine equations, and elliptic curves. More advanced subjects such as the Gelfond-Schneider, prime number, and Mordell-Weil theorems are included as well. Each chapter contains numerous problems and solutions.
目次
- Divisibility
- Multiplicative Functions
- Congruence Theory
- Quadratic Residues
- Algebraic Topics
- Sums of Squares and Gauss Sums
- Continued Fractions
- Transcendental Numbers
- Quadratic Forms
- Genera and the Class Group
- Partitions
- The Prime Numbers
- Two Major Theorems on the Primes
- Diophantine Equations
- Elliptic Curves: Basic Theory
- Elliptic Curves: Further Results and Applications
- Answers and Hints to Problems.
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