{"product_id":"an-illustrated-theory-of-numbers-9781470463717","title":"An Illustrated Theory of Numbers","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. The exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThis book is an introduction to number theory like no other. It covers the standard topics of a first course in number theory from integer division with remainder to representation of integers by quadratic forms. Nearly 500 illustrations elucidate proofs, provide data visualization, and give fresh new insights...The page layout is exquisite...Each chapter begins with a figure on the left side and text on the right side of a two-page spread. Chapters end with historical notes and exercises, each exactly filling two facing pages. The historical notes reference original sources, often outside of Western tradition.\"\"- Samuel S. Wagstaff, Jr., \u003ci\u003eMathematical Reviews\u003c\/i\u003e;\u003cbr\u003e\u003cbr\u003e \"\"It is rare that a mathematics book can be described with this word, but Weissman's \u003ci\u003eAn Illustrated Theory of Numbers\u003c\/i\u003e is gorgeous! Weissmann (Univ. of California, Santa Cruz) not only wrote a great textbook on number theory but also did so in a visually stunning way. The work is full of hundreds of beautiful visuals that complement the otherwise difficult subject matter. Any reader with a high school geometry and algebra background will be prepared to read, understand, and enjoy this text...most readers will love this work because they will be able to see numbers for the first time.\"\"- A. Misseldine, \u003ci\u003eCHOICE\u003c\/i\u003e;\u003cbr\u003e\u003cbr\u003e \"\"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;\u003cbr\u003e\u003cbr\u003e \"\"\u003ci\u003eAn Illustrated Theory of Numbers\u003c\/i\u003e is a textbook like none other I know; and not just a textbook, but a work of practical art. This book would be a delight to use in the undergraduate classroom, to give to a high school student in search of enlightenment, or to have on your coffee table, to give guests from the world outside mathematics a visceral and visual sense of the beauty of our subject.\"\"- Jordan Ellenberg, University of Wisconsin-Madison, author of \u003ci\u003eHow Not to Be Wrong: the Power of Mathematical Thinking\u003c\/i\u003e;\u003cbr\u003e\u003cbr\u003e \"\"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;\u003cbr\u003e\u003cbr\u003e \"\"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;\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eSeeing arithmetic\u003c\/li\u003e\n\u003cli\u003eFoundations: The Euclidean algorithm\u003c\/li\u003e\n\u003cli\u003ePrime factorization\u003c\/li\u003e\n\u003cli\u003eRational and constructible numbers\u003c\/li\u003e\n\u003cli\u003eGaussian and Eisenstein integers\u003c\/li\u003e\n\u003cli\u003eModular arithmetic: The modular worlds\u003c\/li\u003e\n\u003cli\u003eModular dynamics\u003c\/li\u003e\n\u003cli\u003eAssembling the modular worlds\u003c\/li\u003e\n\u003cli\u003eQuadratic residues\u003c\/li\u003e\n\u003cli\u003eQuadratic forms: The topograph\u003c\/li\u003e\n\u003cli\u003eDefinite forms\u003c\/li\u003e\n\u003cli\u003eIndefinite forms\u003c\/li\u003e\n\u003cli\u003eIndex of theorems\u003c\/li\u003e\n\u003cli\u003eIndex of terms\u003c\/li\u003e\n\u003cli\u003eIndex of names\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":48867166749015,"sku":"9781470463717","price":56.7,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470463717.jpg?v=1722281998","url":"https:\/\/bookcurl.com\/products\/an-illustrated-theory-of-numbers-9781470463717","provider":"Book Curl","version":"1.0","type":"link"}