Topics From The Theory Of Numbers
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Author | : Emil Grosswald |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2010-02-23 |
Genre | : Mathematics |
ISBN | : 0817648380 |
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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 | : Janos Suranyi |
Publisher | : Springer Science & Business Media |
Total Pages | : 322 |
Release | : 2003-01-14 |
Genre | : Mathematics |
ISBN | : 9780387953205 |
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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.
Author | : Andrew Adler |
Publisher | : Jones & Bartlett Publishers |
Total Pages | : 424 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : |
Download The Theory of Numbers Book in PDF, Epub and Kindle
Author | : Oystein Ore |
Publisher | : Courier Corporation |
Total Pages | : 404 |
Release | : 2012-07-06 |
Genre | : Mathematics |
ISBN | : 0486136434 |
Download Number Theory and Its History Book in PDF, Epub and Kindle
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
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。
Author | : Martin H. Weissman |
Publisher | : American Mathematical Soc. |
Total Pages | : 341 |
Release | : 2020-09-15 |
Genre | : Education |
ISBN | : 1470463717 |
Download An Illustrated Theory of Numbers Book in PDF, Epub and Kindle
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 | : Joseph B. Dence |
Publisher | : Academic Press |
Total Pages | : 542 |
Release | : 1999-01-20 |
Genre | : Mathematics |
ISBN | : 9780122091308 |
Download Elements of the Theory of Numbers Book in PDF, Epub and Kindle
Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory. * In-depth coverage of classical number theory * Thorough discussion of the theory of groups and rings * Includes application of Taylor polynomials * Contains more advanced material than other texts * Illustrates the results of a theorem with an example * Excellent presentation of the standard computational exercises * Nearly 1000 problems--many are proof-oriented, several others require the writing of computer programs to complete the computations * Clear and well-motivated presentation * Provides historical references noting distinguished number theory luminaries such as Euclid, de Fermat, Hilbert, Brun, and Lehmer, to name a few * Annotated bibliographies appear at the end of all of the chapters
Author | : Leo Moser |
Publisher | : The Trillia Group |
Total Pages | : 95 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 1931705011 |
Download An Introduction to the Theory of Numbers Book in PDF, Epub and Kindle
"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 | : Anthony Vazzana |
Publisher | : CRC Press |
Total Pages | : 530 |
Release | : 2007-10-30 |
Genre | : Computers |
ISBN | : 1584889381 |
Download Introduction to Number Theory Book in PDF, Epub and Kindle
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 | : Charles Stanley Ogilvy |
Publisher | : Courier Corporation |
Total Pages | : 196 |
Release | : 1988-01-01 |
Genre | : Mathematics |
ISBN | : 9780486257785 |
Download Excursions in Number Theory Book in PDF, Epub and Kindle
Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.