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Concise Introduction to Pure Mathematics

Name: Concise Introduction to Pure Mathematics
Brand: Taylor & Francis Ltd
SKU: 17872035
Price: 299.8 EUR
Availability: InStock
Author: Martin Liebeck
ISBN: 9781138466838

Martin Liebeck

Език

Английски език

Книга С твърди корици

Код Либристо: 17872035

Издателство Taylor & Francis Ltd, ноември 2017

Accessible to all students with a sound background in high school mathematics, A Concise Introductio... Цялото описание

Код Либристо: 17872035

726 b

299.80 €

586.36 лв

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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 EditionTwo new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applicationsNew material on inequalities, counting methods, the inclusion-exclusion principle, and Euler‘s phi function Numerous new exercises, with solutions to the odd-numbered onesThrough 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.