A Concise Introduction to Pure Mathematics - Hardcover

Liebeck, Martin

Hardcover

ISBN 10: 1138466832 ISBN 13: 9781138466838

Publisher: Chapman and Hall/CRC, 2017

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 this title

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.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2017
• Language: English
• ISBN 10: 1138466832
• ISBN 13: 9781138466838
• Binding: Hardcover
• Edition number: 4
• Number of pages: 318