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Author :
Publisher :
ISBN 13 : 9787115156112
Total Pages : 435 pages
Book Rating : 4.1/5 (561 download)
Download or read book 数论导引 written by and published by . This book was released on 2007 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Theory of Numbers written by Andrew Adler and published by Jones & Bartlett Publishers. This book was released on 1995 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin H. Weissman
Publisher : American Mathematical Soc.
ISBN 13 : 1470463717
Total Pages : 341 pages
Book Rating : 4.4/5 (74 download)
Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 9780691059174
Total Pages : 244 pages
Book Rating : 4.0/5 (591 download)
Download or read book Algebraic Theory of Numbers written by Hermann Weyl and published by Princeton University Press. This book was released on 1998 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work explores the fundamental concepts in arithmetic. It begins with the definitions and properties of algebraic fields. The theory of divisibility is then discussed. There follows an introduction to p-adic numbers and then culminates with an extensive examination of algebraic number fields.
Author : Albert H. Beiler
Publisher : Courier Corporation
ISBN 13 : 0486210960
Total Pages : 383 pages
Book Rating : 4.4/5 (862 download)
Download or read book Recreations in the Theory of Numbers written by Albert H. Beiler and published by Courier Corporation. This book was released on 1964-01-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alan Baker
Publisher : Cambridge University Press
ISBN 13 : 9780521286541
Total Pages : 116 pages
Book Rating : 4.2/5 (865 download)
Download or read book A Concise Introduction to the Theory of Numbers written by Alan Baker and published by Cambridge University Press. This book was released on 1984-11-29 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.
Author : Joseph B. Dence
Publisher : Academic Press
ISBN 13 : 9780122091308
Total Pages : 542 pages
Book Rating : 4.0/5 (913 download)
Download or read book Elements of the Theory of Numbers written by Joseph B. Dence and published by Academic Press. This book was released on 1999-01-20 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Emil Grosswald
Publisher : Springer Science & Business Media
ISBN 13 : 0817648380
Total Pages : 336 pages
Book Rating : 4.8/5 (176 download)
Download or read book Topics from the Theory of Numbers written by Emil Grosswald and published by Springer Science & Business Media. This book was released on 2010-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Harry Pollard
Publisher : American Mathematical Soc.
ISBN 13 : 1614440093
Total Pages : 162 pages
Book Rating : 4.6/5 (144 download)
Download or read book The Theory of Algebraic Numbers: Second Edition written by Harry Pollard and published by American Mathematical Soc.. This book was released on 1975-12-31 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ivan Niven
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (9 download)
Download or read book An Introduction to the Theory of Numbers written by Ivan Niven and published by . This book was released on 1968 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonard E. Dickson
Publisher : Legare Street Press
ISBN 13 : 9781017465570
Total Pages : 0 pages
Book Rating : 4.4/5 (655 download)
Download or read book History of the Theory of Numbers; Volume 2 written by Leonard E. Dickson and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Leo Moser
Publisher : The Trillia Group
ISBN 13 : 1931705011
Total Pages : 95 pages
Book Rating : 4.9/5 (317 download)
Download or read book An Introduction to the Theory of Numbers written by Leo Moser and published by The Trillia Group. This book was released on 2004 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 : Leonard Eugene Dickson
Publisher : Legare Street Press
ISBN 13 : 9781022888678
Total Pages : 0 pages
Book Rating : 4.8/5 (886 download)
Download or read book History Of The Theory Of Numbers - I written by Leonard Eugene Dickson and published by Legare Street Press. This book was released on 2023-07-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A landmark work in the field of mathematics, History of the Theory of Numbers - I traces the development of number theory from ancient civilizations to the early 20th century. Written by mathematician Leonard Eugene Dickson, this book is a comprehensive and accessible introduction to the history of one of the most fundamental branches of mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : I. M. Vinogradov
Publisher : Courier Corporation
ISBN 13 : 0486154521
Total Pages : 194 pages
Book Rating : 4.4/5 (861 download)
Download or read book The Method of Trigonometrical Sums in the Theory of Numbers written by I. M. Vinogradov and published by Courier Corporation. This book was released on 2013-10-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text investigates Waring's problem, approximation by fractional parts of the values of a polynomial, estimates for Weyl sums, distribution of fractional parts of polynomial values, Goldbach's problem, more. 1954 edition.
Author : Waclaw Sierpinski
Publisher : Elsevier
ISBN 13 : 1483151468
Total Pages : 127 pages
Book Rating : 4.4/5 (831 download)
Download or read book A Selection of Problems in the Theory of Numbers written by Waclaw Sierpinski and published by Elsevier. This book was released on 2014-05-16 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundaries of geometry and arithmetic, including an introduction to prime numbers. This book discusses the conjecture of Goldbach; hypothesis of Gilbreath; decomposition of a natural number into prime factors; simple theorem of Fermat; and Lagrange's theorem. The decomposition of a prime number into the sum of two squares; quadratic residues; Mersenne numbers; solution of equations in prime numbers; and magic squares formed from prime numbers are also elaborated in this text. This publication is a good reference for students majoring in mathematics, specifically on arithmetic and geometry.
Author : W. Sierpinski
Publisher : Elsevier
ISBN 13 : 0080960197
Total Pages : 513 pages
Book Rating : 4.0/5 (89 download)
Download or read book Elementary Theory of Numbers written by W. Sierpinski and published by Elsevier. This book was released on 1988-02-01 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : E. T. Hecke
Publisher : Springer Science & Business Media
ISBN 13 : 1475740921
Total Pages : 251 pages
Book Rating : 4.4/5 (757 download)
Download or read book Lectures on the Theory of Algebraic Numbers written by E. T. Hecke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.
