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: 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: Andrew Adler
Publisher: Jones & Bartlett Publishers
Published: 1995
Total Pages: 424
ISBN-13:
DOWNLOAD EBOOK →Author: Alan Baker
Publisher: Cambridge University Press
Published: 1984-11-29
Total Pages: 116
ISBN-13: 9780521286541
DOWNLOAD EBOOK →In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.
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: Peter D. Schumer
Publisher: Brooks/Cole
Published: 1996
Total Pages: 310
ISBN-13:
DOWNLOAD EBOOK →Author: Benjamin Hutz
Publisher: American Mathematical Soc.
Published: 2018-04-17
Total Pages: 376
ISBN-13: 1470430975
DOWNLOAD EBOOK →This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data. Each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem. There are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. The mathematical prerequisites for this book are few. Early chapters contain topics such as integer divisibility, modular arithmetic, and applications to cryptography, while later chapters contain more specialized topics, such as Diophantine approximation, number theory of dynamical systems, and number theory with polynomials. Students of all levels will be drawn in by the patterns and relationships of number theory uncovered through data driven exploration.
Author: G. Everest
Publisher: Springer Science & Business Media
Published: 2007-05-21
Total Pages: 296
ISBN-13: 1852339179
DOWNLOAD EBOOK →Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight