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.
✔ Author(s): Martin H. Weissman
✔ Title: An Illustrated Theory of Numbers
✔ Rating : 4.7 out of 5 base on (11 reviews)
✔ ISBN-10: 1470463717
✔ ISBN-13: 9781470463717
✔ Language: English
✔ Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
✔ Device compatibles: Android, iOS, PC and Amazon Kindle
Readers' opinions about An Illustrated Theory of Numbers by Martin H. Weissman
Lucy Garraway
I must confess, this book made me shed tears like never before. The themes of love, loss, and resilience struck a chord with my soul. It was an emotional journey I'm grateful to have taken.
Beata Shepard
I loved the powerful messages hidden within the story. The book tackled important social issues and made me ponder the world we live in. It's a must-read for everyone.
Polly Hurlbutt
The themes of resilience and hope resonated deeply with me. This book taught me valuable life lessons that I'll carry with me for years to come.
