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

Liebeck, Martin

 
9781498722926: A Concise Introduction to Pure Mathematics, Fourth Edition (Chapman Hall/Crc Mathematics)
Softcover
ISBN 10: 149872292X ISBN 13: 9781498722926
Verlag: Routledge, 2015

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

Accessible to all students with a sound background in high school mathematics, this popular text presents some of the most fundamental and beautiful ideas in pure mathematics. Along with numerous new exercises, this edition includes 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. It also contains new material on inequalities, counting methods, the inclusion-exclusion principle, and Euler's phi function.

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Verlag
Routledge
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
149872292X
ISBN 13 
9781498722926
Einband
Taschenbuch
Auflage
4
Anzahl der Seiten
301
Kontakt zum Hersteller
CRC Press
https://www.routledge-ny.com

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