About this product

Product Identifiers

PublisherCRC Press LLC

ISBN-101584885475

ISBN-139781584885474

eBay Product ID (ePID)47777697

Product Key Features

Number of Pages224 Pages

LanguageEnglish

Publication NameConcise Introduction to Pure Mathematics

SubjectGeneral, Set Theory

Publication Year2005

TypeTextbook

Subject AreaMathematics

AuthorMartin W. Liebeck

FormatTrade Paperback

Dimensions

Item Height0.5 in

Item Weight11.2 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Edition Number2

Intended AudienceCollege Audience

LCCN2005-051858

Reviews"A gentle but fascinating introduction into the culture of mathematicsThis book will give a student the understanding to go on in further courses in abstract algebra and analysis. The notion of a proof will no longer be foreign, but also mathematics will not be viewed as some abstract black box. At the very least, the student will have an appreciation of mathematics. "As usual, Liebeck's writing style is clear and easy to read. This is a book that could be read by a student on his or her own. There is a wide selection of problems ranging from routine to quite challenging." Robert Guralnick, Chair of the Mathematics Department, University of Southern California, from the Foreword

Dewey Edition22

TitleLeadingA

IllustratedYes

Dewey Decimal510

Table Of ContentSets and Proofs Number Systems Decimals Inequalities nth Roots and Rational Powers Complex Numbers Polynomial Equations Induction Euler's Formula and Platonic Solids Introduction to Analysis The Integers Prime Factorization More on Prime Numbers Congruence of Integers More on Congruence Secret Codes Counting and Choosing More on Sets Equivalence Relations Functions Permutations Infinity Further Reading Index of Symbols

Edition DescriptionRevised edition,New Edition

SynopsisWritten in a relaxed, readable style, A Concise Introduction to Pure Mathematics leads students gently but firmly into the world of higher mathematics. It provides beginning undergraduates with a rigourous grounding in the basic tools and techniques of the discipline and prepares them for further more advanced studies in analysis, differential equations, and algebra. This edition contains additional material on secret codes, permutations, and prime numbers. It features more than 200 exercises, with many completely new. The text is organized into relatively independent chapters, allowing instructors to tailor the book to meet their individual course needs.- Contains extra material concerning prime numbers, forming the basis for data encryption- Explores "Secret Codes" - one of today's most spectacular applications of pure mathematicsDiscusses Permutations and their importance in many topics in discrete mathematics, A Concise Introduction to Pure Mathematics, Second Edition provides a robust bridge between high school and university mathematics, expanding upon basic topics in ways that will interest first-year students in mathematics and related fields and stimulate further study. Divided into 22 short chapters, this textbook offers a selection of exercises ranging from routine calculations to quite challenging problems. The author discusses real and complex numbers and explains how these concepts are applied in solving natural problems. He introduces topics in analysis, geometry, number theory, and combinatorics. What's New in the Second Edition: Contains extra material concerning prime numbers, forming the basis for data encryption Explores "Secret Codes" - one of today's most spectacular applications of pure mathematics Discusses Permutations and their importance in many topics in discrete mathematics The textbook allows for the design of courses with various points of emphasis, because it can be divided into four fairly independent sections related to: an introduction to number systems and analysis; theory of the integers; an introduction to discrete mathematics; and functions, relations, and countability.

LC Classification NumberQA9.L478 2005