数论导引
Author:
Publisher:
Published: 2007
Total Pages: 435
ISBN-13: 9787115156112
DOWNLOAD EBOOK →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:
Publisher:
Published: 2007
Total Pages: 435
ISBN-13: 9787115156112
DOWNLOAD EBOOK →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: Ivan Niven
Publisher:
Published: 1993
Total Pages: 288
ISBN-13: 9780852266304
DOWNLOAD EBOOK →Author: Martin H. Weissman
Publisher: American Mathematical Soc.
Published: 2020-09-15
Total Pages: 341
ISBN-13: 1470463717
DOWNLOAD EBOOK →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: Oystein Ore
Publisher: Courier Corporation
Published: 2012-07-06
Total Pages: 400
ISBN-13: 0486136434
DOWNLOAD EBOOK →Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
Author: Leo Moser
Publisher: The Trillia Group
Published: 2004
Total Pages: 95
ISBN-13: 1931705011
DOWNLOAD EBOOK →"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: Calvin T. Long
Publisher: D.C. Heath
Published: 1972
Total Pages: 264
ISBN-13:
DOWNLOAD EBOOK →Author: Anthony Vazzana
Publisher: CRC Press
Published: 2007-10-30
Total Pages: 530
ISBN-13: 1584889381
DOWNLOAD EBOOK →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: Andrew Adler
Publisher: Jones & Bartlett Publishers
Published: 1995
Total Pages: 424
ISBN-13:
DOWNLOAD EBOOK →Author: Emil Grosswald
Publisher: Springer Science & Business Media
Published: 2010-02-23
Total Pages: 336
ISBN-13: 0817648380
DOWNLOAD EBOOK →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.