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A Concise Introduction to Pure Mathematics, Second Edition (Chapman Hall/crc Mathematics)

4.05 ( 189 Ratings by Goodreads)
A Concise Introduction to Pure Mathematics, Second Edition (Chapman Hall/crc Mathematics)

A Concise Introduction to Pure Mathematics, Second Edition (Chapman Hall/crc Mathematics)

4.05 (189 Ratings by Goodreads)
paperback
Published: 2 November, 2005
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Description

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations, the use of Euler's formula to study the five Platonic solids, the use of prime numbers to encode and decode secret information, and the theory of how to compare the sizes of two infinite sets. New to the Third Edition The third edition of this popular text contains three new chapters that provide an introduction to mathematical analysis. These new chapters introduce the ideas of limits of sequences and continuous functions as well as several interesting applications, such as the use of the intermediate value theorem to prove the existence of nth roots. This edition also includes solutions to all of the odd-numbered exercises. By carefully explaining various topics in analysis, geometry, number theory, and combinatorics, this textbook illustrates the power and beauty of basic mathematical concepts. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher level mathematics, enabling students to study further courses in abstract algebra and analysis.
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More Details

Type Book
ISBN13 9781584885474
ISBN10 1584885475
Number Of Pages 224
Item Weight 317 g
Product Dimensions 147 x 13 x 231 mm
Publisher / Reseller Chapman and Hall/CRC
Format paperback
Edition 2
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Media 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

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