A Concise Introduction to Pure Mathematics, Fourth Edition (Chapman Hall/Crc Mathematics)

Liebeck, Martin

ISBN 10: 149872292X / ISBN 13: 9781498722926

Published by Routledge, 2015

This copy may contain significant wear, including bending, writing, tears, and or water damage. This book is a functional copy, not necessarily a beautiful copy. Copy may have loose or missing pages and may not include access codes or CD. Seller Inventory # GBV.149872292X.A

Synopsis:

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth 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; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.

New to the Fourth Edition

• Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications
• New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function
• Numerous new exercises, with solutions to the odd-numbered ones

Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. 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 more advanced courses in abstract algebra and analysis.

About the Author: Martin Liebeck is a professor of pure mathematics at Imperial College London. He earned his B.A., M.Sc., and D.Phil. in mathematics from the University of Oxford. Dr. Liebeck has published over 130 research articles and seven books. His research interests encompass algebraic groups, finite simple groups, probabilistic group theory, permutation groups, and algebraic combinatorics.

Bibliographic Details

Title: A Concise Introduction to Pure Mathematics, ...
Publisher: Routledge
Publication Date: 2015
Binding: Soft cover
Condition: acceptable
Edition: 4th Edition