An Introduction to Pure and Applied Mathematics

Author: Don Redmond

Publisher: CRC Press

ISBN: 9780824796969

Category: Mathematics

Page: 772

View: 9407

This text provides a detailed introduction to number theory, demonstrating how other areas of mathematics enter into the study of the properties of natural numbers. It contains problem sets within each section and at the end of each chapter to reinforce essential concepts, and includes up-to-date information on divisibility problems, polynomial congruence, the sums of squares and trigonometric sums.;Five or more copies may be ordered by college or university bookstores at a special price, available on application.
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Author: Vladimir Platonov,Andrei Rapinchuk,Rachel Rowen

Publisher: Academic Press

ISBN: 9780080874593

Category: Mathematics

Page: 614

View: 2198

This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
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From Approximation Theory to Algebra and Number Theory

Author: Theodore J. Rivlin

Publisher: Wiley-Interscience

ISBN: N.A

Category: Mathematics

Page: 249

View: 4871

This Secodnd Edition continues the fine tradition of its predecessor by surveying the most important properties of the Chebyshev polynomials and introducing mathematical analysis. New to this edition are approximately 80 exercises and a chapter which introduces some elementary algebraic and number theoretic properties of the Chebyshev polynomials. Additional coverage focuses on extremal and iterative properties.
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Proceedings of the International Conference held in Graz, Austria, August 30 to September 5, 1998

Author: F. Halter-Koch,Robert F. Tichy

Publisher: Walter de Gruyter

ISBN: 3110801957

Category: Mathematics

Page: 571

View: 7882

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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Author: Kristine K. Fowler

Publisher: CRC Press

ISBN: 9780824750350

Category: Language Arts & Disciplines

Page: 475

View: 1007

This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.
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Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996

Author: Kalman Gyoery,Attila Pethoe,Vera T. Sos

Publisher: Walter de Gruyter

ISBN: 3110809796

Category: Mathematics

Page: 612

View: 4373

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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Author: Edwin Weiss

Publisher: Courier Corporation

ISBN: 9780486401898

Category: Mathematics

Page: 275

View: 9099

Careful organization and clear, detailed proofs characterize this methodical, self-contained exposition of basic results of classical algebraic number theory from a relatively modem point of view. This volume presents most of the number-theoretic prerequisites for a study of either class field theory (as formulated by Artin and Tate) or the contemporary treatment of analytical questions (as found, for example, in Tate's thesis). Although concerned exclusively with algebraic number fields, this treatment features axiomatic formulations with a considerable range of applications. Modem abstract techniques constitute the primary focus. Topics include introductory materials on elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields. Subjects correspond to those usually covered in a one-semester, graduate level course in algebraic number theory, making this book ideal either for classroom use or as a stimulating series of exercises for mathematically minded individuals.
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Proceedings of a Seminar Held January 12-16, 1987, with Support from the National Science Foundation and Japan Society for the Promotion of Science

Author: Michael R. Stein,R. Keith Dennis

Publisher: American Mathematical Soc.

ISBN: 0821850903

Category: Mathematics

Page: 488

View: 5744

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A Trip Report of the American Pure and Applied Mathematics Delegation : Submitted to the Committee on Scholarly Communication with the People's Republic of China

Author: American Pure and Applied Mathematics Delegation

Publisher: National Academies

ISBN: N.A

Category: Mathematics

Page: 116

View: 7976

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Author: Harry Lass

Publisher: Courier Corporation

ISBN: 0486471861

Category: Mathematics

Page: 491

View: 6187

Completely self-contained, this survey explores the important topics in pure and applied mathematics. Each chapter can be read independently of the others, and all subjects are unified by cross-references to the complete work. Numerous worked-out examples appear throughout the text, and review questions and references conclude each section. 1957 edition.
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Author: N.A

Publisher: Academic Press

ISBN: 9780080873329

Category: Mathematics

Page: 434

View: 3671

This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete problems in number theory. General theories arise as tools for solving these problems. As a rule, these theories are developed sufficiently far so that the reader can see for himself their strength and beauty, and so that he learns to apply them. Most of the questions that are examined in this book are connected with the theory of diophantine equations - that is, with the theory of the solutions in integers of equations in several variables. However, we also consider questions of other types; for example, we derive the theorem of Dirichlet on prime numbers in arithmetic progressions and investigate the growth of the number of solutions of congruences.
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Author: Jean-Marie De Koninck,Claude Levesque

Publisher: Walter de Gruyter

ISBN: 9783110117912

Category: Number theory

Page: 1002

View: 5135

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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Author: Walter Gautschi

Publisher: Springer Science & Business Media

ISBN: 9780817638955

Category: Mathematics

Page: 524

View: 8869

'The book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all, the pace is always lively
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Author: N.A

Publisher: Academic Press

ISBN: 9780080873428

Category: Mathematics

Page: 311

View: 600

Diophantine Equations
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Author: M.E. Pohst

Publisher: Springer Science & Business Media

ISBN: 9783764329136

Category: Juvenile Nonfiction

Page: 88

View: 4500

Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. For this reason, the Deutsche Mathematiker-Vereinigung initiated an introductory graduate seminar on this topic in Dusseldorf. The lectures given there by the author served as the basis for this book which allows fast access to the state of the art in this area. Special emphasis has been placed on practical algorithms - all developed in the last five years - for the computation of integral bases, the unit group and the class group of arbitrary algebraic number fields. The workshops organized by the Gesselschaft fur mathematische Forschung in cooperation with the Deutsche Mathematiker-Vereinigung (German Mathematics Society) are intended to help, in particular, students and younger mathematicians, to obtain an introduction to fields of current research. Through the means of these well-organized seminars, scientists from other fields can also be introduced to new mathematical ideas. The publication of these workshops in the series DMV SEMINAR will make the material available to an even larger audience.
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Pure & Applied

Author: Aigli Papantonopoulou

Publisher: Pearson College Division

ISBN: 9780130882547

Category: Mathematics

Page: 550

View: 1790

This book provides thorough coverage of the main topics of abstract algebra while offering nearly 100 pages of applications. A repetition and examples first approach introduces learners to mathematical rigor and abstraction while teaching them the basic notions and results of modern algebra. Chapter topics include group theory, direct products and Abelian groups, rings and fields, geometric constructions, historical notes, symmetries, and coding theory. For future teachers of algebra and geometry at the high school level.
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