Problem-Solving and Selected Topics in Number Theory
ny Michael Th. Rassias
Summary
Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads by Michael Th. Rassias is a textbook focused on classical number theory and mathematical problem solving, especially for advanced undergraduate students, beginning graduate students, and participants preparing for competitions such as the Mathematical Olympiad and Putnam.
The book develops topics including arithmetic functions, perfect and Fermat numbers, congruences, quadratic residues, prime-related functions, the Riemann zeta function, Dirichlet series, and other special topics, combining historical notes with rigorous step-by-step proofs and detailed solutions to challenging problems. Its goal is not only to teach number theory concepts but also to develop creative mathematical thinking and problem-solving techniques through carefully selected olympiad-style exercises.
ARTICLE
ny Michael Th. Rassias
Summary
Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads by Michael Th. Rassias is a textbook focused on classical number theory and mathematical problem solving, especially for advanced undergraduate students, beginning graduate students, and participants preparing for competitions such as the Mathematical Olympiad and Putnam.
The book develops topics including arithmetic functions, perfect and Fermat numbers, congruences, quadratic residues, prime-related functions, the Riemann zeta function, Dirichlet series, and other special topics, combining historical notes with rigorous step-by-step proofs and detailed solutions to challenging problems. Its goal is not only to teach number theory concepts but also to develop creative mathematical thinking and problem-solving techniques through carefully selected olympiad-style exercises.
ARTICLE
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