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
✔ 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
Whittany Fleming
Dive into a captivating mystery where each clue unravels a new layer of intrigue. The author's masterful storytelling keeps you guessing until the final page. Vivid characters and detailed settings bring the story to life. The suspense builds with each chapter, making it impossible to put down. It's a gripping tale that will keep you on the edge of your seat. A must-read for fans of the genre.
Sara Poole
Immerse yourself in a richly detailed fantasy world where heroes and villains clash in epic battles. The author's intricate plotting and dynamic characters create a compelling narrative. Each twist and turn in the story keeps you hooked from start to finish. The vivid descriptions and imaginative world-building transport you to another realm. It's a thrilling adventure that captures the essence of epic fantasy. Perfect for fans of high-stakes adventures.
Rosanagh Barrett
Follow the thrilling adventures of an unlikely hero in a world full of danger and intrigue. The author's fast-paced writing and imaginative plot keep you on the edge of your seat. Each character is well-developed, adding depth to the exciting narrative. The twists and turns make for a rollercoaster of emotions. It's an exhilarating read that captures the essence of adventure. Perfect for fans of action-packed stories.
