Elementary number theory
著者
書誌事項
Elementary number theory
（International series in pure and applied mathematics）
McGraw-Hill, c1997
4th ed
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内容説明・目次
内容説明
This text covers the topic of number theory as applied to a larger historical frame. In addition to livening the text, the historical remarks woven into the text bring out the point that number theory is not a dead art but a living one fed by the efforts of many practitioners. The exercises in the text range in difficulty from the purely mechanical to challenging theoretical questions. The computational exercises aim to develop basic techniques and test understanding of concepts.
目次
- Some preliminary considerations
- divisibility theory in the integers
- primes and ther distribution
- the theory of congruences
- Fermat's theorem
- number-theoretic functions
- Euler's generalization of Fermat's theorem
- primitive roots and indices
- the quadratic reciprocity law
- perfect numbers
- the Fermat conjecture
- representation of integers as sums of squares
- Fibonacci numbers
- continued fractions
- some 20th century developments.
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