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An Illustrated Theory Of Numbers 1st Edition Martin H Weissman

Name: An Illustrated Theory Of Numbers 1st Edition Martin H Weissman
SKU: BELL-44538288
Price: 31.00 USD
Availability: InStock
Rating: 4.1 (50 reviews)

SKU: BELL-44538288

$ 31.00 ~~$ 45.00~~ (-31%)

4.1

50 reviews

An Illustrated Theory Of Numbers 1st Edition Martin H Weissman instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 10.99 MB

Pages: 341

Author: Martin H. Weissman

ISBN: 9781470434939, 1470434938

Language: English

Year: 2017

Edition: 1

Product desciption

An Illustrated Theory Of Numbers 1st Edition Martin H Weissman by Martin H. Weissman 9781470434939, 1470434938 instant download after payment.

An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history.
Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers.
Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition.
Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.