Synthetische Zahlentheorie - Softcover

Rudolf Fueter

 
9780656277162: Synthetische Zahlentheorie

Synopsis

This book introduces number theory to beginners. It presents the core ideas without relying on knowledge of advanced mathematics, guided by the historical development of the subject. Number theory explores numbers themselves, focusing on the relationships among them rather than using numbers to represent other things. The author presents the topics that laid the foundation for the field, such as Euclid’s algorithm, the Chinese remainder theorem, and Fermat’s little theorem. These ideas are developed in the context of modular arithmetic, a system of arithmetic where numbers “wrap around” when they exceed a certain value. The author meticulously establishes definitions and proves theorems, providing a firm understanding of the fundamental principles of number theory.

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