An Illustrated Theory of Numbers is popular PDF and ePub book, written by Martin H. Weissman in 2020-09-15, it is a fantastic choice for those who relish reading online the Education genre. Let's immerse ourselves in this engaging Education book by exploring the summary and details provided below. Remember, An Illustrated Theory of Numbers can be Read Online from any device for your convenience.
An Illustrated Theory of Numbers Book PDF Summary
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention 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.
Detail Book of An Illustrated Theory of Numbers PDF
- Author : Martin H. Weissman
- Release : 15 September 2020
- Publisher : American Mathematical Soc.
- ISBN : 9781470463717
- Genre : Education
- Total Page : 341 pages
- Language : English
- PDF File Size : 15,7 Mb
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