数论导引 PDF Download

Author:
Publisher:
ISBN: 9787115156112
Category : Number theory
Languages : zh-CN
Pages : 435

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Book Description
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: Andrew Adler
Publisher: Jones & Bartlett Publishers
ISBN:
Category : Mathematics
Languages : en
Pages : 424

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Book Description

Author: Martin H. Weissman
Publisher: American Mathematical Soc.
ISBN: 1470463717
Category : Education
Languages : en
Pages : 341

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Book Description
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: Harry Pollard
Publisher: American Mathematical Soc.
ISBN: 1614440093
Category : Algebraic number theory
Languages : en
Pages : 162

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Book Description
This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.

Author: Emil Grosswald
Publisher: Springer Science & Business Media
ISBN: 0817648380
Category : Mathematics
Languages : en
Pages : 336

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Book Description
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.

Author: Albert H. Beiler
Publisher: Courier Corporation
ISBN: 0486210960
Category : Games & Activities
Languages : en
Pages : 383

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Book Description
Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.

Author: Ivan Niven
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 280

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Book Description

Author: Leo Moser
Publisher: The Trillia Group
ISBN: 1931705011
Category : Mathematics
Languages : en
Pages : 95

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Book Description
"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: W. Sierpinski
Publisher: Elsevier
ISBN: 0080960197
Category : Mathematics
Languages : en
Pages : 513

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Book Description
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised. The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

Author: Janos Suranyi
Publisher: Springer Science & Business Media
ISBN: 9780387953205
Category : Mathematics
Languages : en
Pages : 322

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Book Description
Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive.