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 ...
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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.
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Add this copy of An Illustrated Theory of Numbers to cart. $46.00, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2020 by American Mathematical Society.
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Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of An Illustrated Theory of Numbers to cart. $56.11, very good condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2017 by American Mathematical Society.
Add this copy of An Illustrated Theory of Numbers to cart. $57.43, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2020 by American Mathematical Society.
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Seller's Description:
Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of An Illustrated Theory of Numbers to cart. $89.92, good condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2017 by Amer Mathematical Society.
Add this copy of An Illustrated Theory of Numbers to cart. $92.00, very good condition, Sold by Moe's Books rated 5.0 out of 5 stars, ships from Berkeley, CA, UNITED STATES, published 2017 by American Mathematical Society.
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Very good. No jacket. Spine is tight. Spine edges are bumped. Cover edges are shelf worn. Bottom front cover corner is torn. Inside is clean and unmarked.
Add this copy of An Illustrated Theory of Numbers to cart. $127.00, very good condition, Sold by Marriott Library Booksale rated 5.0 out of 5 stars, ships from Salt Lake City, UT, UNITED STATES, published 2017 by American Mathematical Society.
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Very good. No dust jacket. Good Book. Contains: Illustrations. Pages: 323 Minor shelf wear. Book has light bumped corners and edges. Book has a few light scratches on the cover. Very clean book.
Add this copy of An Illustrated Theory of Numbers to cart. $150.46, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2017 by Amer Mathematical Society.
Add this copy of An Illustrated Theory of Numbers to cart. $188.80, good condition, Sold by TEXTSHUB rated 5.0 out of 5 stars, ships from Franklin Lakes, NJ, UNITED STATES, published 2017 by American Mathematical Society.
Add this copy of An Illustrated Theory of Numbers to cart. $193.50, good condition, Sold by Book Words rated 4.0 out of 5 stars, ships from Midland Park, NJ, UNITED STATES, published 2017 by American Mathematical Society.