Illustrated Theory of Numbers by Martin H. Weissman
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Illustrated Theory of Numbers

Illustrated Theory of Numbers


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About the Book

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 5 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 Conways topograph to solve quadratic Diophantine equations (e.g. Pells 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, and to all mathematicians seeking a fresh perspective on an ancient subject.

About the Author

Martin H. Weissman, University of California, Santa Cruz, CA.


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Product Details
  • ISBN-13: 9781470434939
  • Publisher: American Mathematical Society
  • Binding: Hardcover
  • Language: English
  • Returnable: Y
  • Weight: 1246 gr
  • ISBN-10: 1470434938
  • Publisher Date: 30 Aug 2017
  • Height: 308 mm
  • No of Pages: 321
  • Spine Width: 26 mm
  • Width: 296 mm


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