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Author : Leo Moser
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 011/5 ( reviews)
Book Synopsis An Introduction to the Theory of Numbers by : Leo Moser
Download or read book An Introduction to the Theory of Numbers written by Leo Moser. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: "This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text."--Publisher's description
Author : Ivan Niven
Release : 1968
Genre : Number theory
Kind : eBook
Book Rating : /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 1968. Available in PDF, EPUB and Kindle. Book excerpt:
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.
