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Author : Ivan Niven
Release : 1993
Genre : Number theory
Kind : eBook
Book Rating : 304/5 ( reviews)
Book Synopsis An introduction to the theory of numbers by : Ivan Niven
Download or read book An introduction to the theory of numbers written by Ivan Niven. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin H. Weissman
Release : 2020-09-15
Genre : Education
Kind : eBook
Book Rating : 717/5 ( reviews)
Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman
Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman. This book was released on 2020-09-15. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kenneth Ireland
Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 03X/5 ( reviews)
Book Synopsis A Classical Introduction to Modern Number Theory by : Kenneth Ireland
Download or read book A Classical Introduction to Modern Number Theory written by Kenneth Ireland. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.
Author : Anthony Vazzana
Release : 2007-10-30
Genre : Computers
Kind : eBook
Book Rating : 381/5 ( reviews)
Book Synopsis Introduction to Number Theory by : Anthony Vazzana
Download or read book Introduction to Number Theory written by Anthony Vazzana. This book was released on 2007-10-30. Available in PDF, EPUB and Kindle. Book excerpt: One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topi
