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A Concise Introduction to Pure Mathematics, Fourth Edition

Description:
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.

Condition: BRAND NEW
ISBN: 9781498722926
Author(s): Martin Liebeck
Format: Paperback
Language: English
Year: 2015
Edition: 4th
Publisher: Taylor & Francis Inc
Pages: 301
Series: Chapman Hall/CRC Mathematics Series

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