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Inequalities : an approach through problems

Author: B J Venkatachala
Publisher: Singapore : Springer, 2018.
Series: Texts and readings in mathematics, v. 49.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
This book discusses about the basic topics on inequalities and their applications. These include the arithmetic mean-geometric mean inequality, Cauchy-Schwarz inequality, Chebyshev inequality, rearrangement inequality, convex and concave functions and Muirhead's theorem. The book contains over 400 problems with their solutions. A chapter on geometric inequalities is a special feature of this book. Most of these  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: B J Venkatachala
ISBN: 9789811087325 9811087326
OCLC Number: 1035844300
Description: 1 online resource (x, 519 pages) : illustrations
Contents: Chapter 1. Some basic inequalities --
Chapter 2. Techniques for proving inequalities --
Chapter 3. Geometric inequalities --
Chapter 4. Applications involving inequalities --
Chapter 5. Problems on inequalities --
Chapter 6. Solutions to problems.
Series Title: Texts and readings in mathematics, v. 49.
Responsibility: B.J. Venkatachala.

Abstract:

This book discusses about the basic topics on inequalities and their applications. These include the arithmetic mean-geometric mean inequality, Cauchy-Schwarz inequality, Chebyshev inequality, rearrangement inequality, convex and concave functions and Muirhead's theorem. The book contains over 400 problems with their solutions. A chapter on geometric inequalities is a special feature of this book. Most of these problems are from International Mathematical Olympiads and from many national mathematical Olympiads. The book is intended to help students who are preparing for various mathematical competitions. It is also a good source book for graduate students who are consolidating their knowledge of inequalities and their applications.

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