Concise Introduction to Pure Mathematics

Concise Introduction to Pure Mathematics

3.46 (32 ratings by Goodreads)
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Description

"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.This 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; and, discusses Permutations and their importance in many topics in discrete mathematics. This 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.show more

Product details

  • Paperback | 224 pages
  • 147.3 x 231.1 x 12.7mm | 317.52g
  • Taylor & Francis Ltd
  • Chapman & Hall/CRC
  • United States
  • English
  • Revised
  • 2nd Revised edition
  • 29 black & white illustrations
  • 1584885475
  • 9781584885474
  • 523,973

Review quote

"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 Forewordshow more

Table of contents

Sets 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 Symbolsshow more

Rating details

32 ratings
3.46 out of 5 stars
5 16% (5)
4 44% (14)
3 22% (7)
2 9% (3)
1 9% (3)
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