🎉   Please check out our new website over at books-etc.com.

Seller
Your price
£66.00
Out of Stock

An Illustrated Theory of Numbers

By (author) Martin H. Weissman
Genres: Number theory
Format: Hardback
Publisher: American Mathematical Society, Providence, United States
Published: 30th Aug 2017
Dimensions: w 224mm h 288mm d 16mm
Weight: 445g
ISBN-10: 1470434938
ISBN-13: 9781470434939
Barcode No: 9781470434939
Trade or Institutional customer? Contact us about large order quotes.
Synopsis
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, and to all mathematicians seeking a fresh perspective on an ancient subject.

New & Used

Seller Information Condition Price
-New
Out of Stock

What Reviewers Are Saying

Submit your review
Newspapers & Magazines
This is a meticulously written and stunningly laid-out book influenced not only by the classical masters of number theory like Fermat, Euler, and Gauss, but also by the work of Edward Tufte on data visualization. Assuming little beyond basic high school mathematics, the author covers a tremendous amount of territory, including topics like Ford circles, Conway's topographs, and Zolotarev's lemma which are rarely seen in introductory courses. All of this is done with a visual and literary flair which very few math books even strive for, let alone accomplish." - Matthew Baker, Georgia Institute of Technology

""Weissman's book represents a totally fresh approach to a venerable subject. Its choice of topics, superb exposition and beautiful layout will appeal to professional mathematicians as well as to students at all levels." - Kenneth A. Ribet, University of California, Berkeley