数论导引
Author | : |
Publisher | : |
Total Pages | : 435 |
Release | : 2007 |
Genre | : Number theory |
ISBN | : 9787115156112 |
Download 数论导引 Book in PDF, ePub and Kindle
本书内容包括素数、无理数、同余、费马定理、连分数、不定方程、二次域、算术函数、分化等。
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Introduction To The Theory Of Numbers PDF full book. Access full book title Introduction To The Theory Of Numbers.
Author | : |
Publisher | : |
Total Pages | : 435 |
Release | : 2007 |
Genre | : Number theory |
ISBN | : 9787115156112 |
本书内容包括素数、无理数、同余、费马定理、连分数、不定方程、二次域、算术函数、分化等。
Author | : Martin H. Weissman |
Publisher | : American Mathematical Soc. |
Total Pages | : 341 |
Release | : 2020-09-15 |
Genre | : Education |
ISBN | : 1470463717 |
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 | : Alan Baker |
Publisher | : Cambridge University Press |
Total Pages | : 116 |
Release | : 1984-11-29 |
Genre | : Mathematics |
ISBN | : 9780521286541 |
In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.
Author | : Ivan Niven |
Publisher | : |
Total Pages | : 288 |
Release | : 1993 |
Genre | : Number theory |
ISBN | : 9780852266304 |
Author | : Ivan Niven |
Publisher | : |
Total Pages | : 280 |
Release | : 1968 |
Genre | : Number theory |
ISBN | : |
Author | : Oystein Ore |
Publisher | : Courier Corporation |
Total Pages | : 404 |
Release | : 2012-07-06 |
Genre | : Mathematics |
ISBN | : 0486136434 |
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
Author | : Calvin T. Long |
Publisher | : D.C. Heath |
Total Pages | : 264 |
Release | : 1972 |
Genre | : Mathematics |
ISBN | : |
Author | : Anthony Vazzana |
Publisher | : CRC Press |
Total Pages | : 530 |
Release | : 2007-10-30 |
Genre | : Computers |
ISBN | : 1584889381 |
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
Author | : Leo Moser |
Publisher | : The Trillia Group |
Total Pages | : 95 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 1931705011 |
"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 | : Emil Grosswald |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2010-02-23 |
Genre | : Mathematics |
ISBN | : 0817648380 |
Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.