Problems of number theory in mathematical competitions
著者
書誌事項
Problems of number theory in mathematical competitions
（Mathematical Olympiad series / series editors, Lee Peng Yee, Xiong Bin, v. 2）
East China Normal University Press, c2010
- : pbk
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内容説明・目次
内容説明
Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.
目次
- Divisibility
- Greatest Common Divisors and Least Common Multiples
- Prime Numbers and Unique Factorization Theorem
- Indeterminate Equations (I)
- Selected Lectures on Competition Problems (I)
- Congruence
- Some Famous Theorems in Number Theory
- Order and Its Application
- Indeterminate Equations (II)
- Selected Lectures on Competition Problems (II).
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