Overview
- Discusses about the basic topics on inequalities and their applications
- Contains over 400 problems with their solutions
- Includes a chapter on geometric inequalities
- Is useful to students preparing for various mathematical competitions and Olympiad
- Is authored by mathematical Olympiad trainer to Indian students for over 25 years
Part of the book series: Texts and Readings in Mathematics (TRIM, volume 49)
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Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Inequalities
Book Subtitle: An Approach Through Problems
Authors: B. J. Venkatachala
Series Title: Texts and Readings in Mathematics
DOI: https://doi.org/10.1007/978-981-10-8732-5
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. and Hindustan Book Agency 2018
eBook ISBN: 978-981-10-8732-5Published: 09 May 2018
Series ISSN: 2366-8717
Series E-ISSN: 2366-8725
Edition Number: 2
Number of Pages: X, 519
Number of Illustrations: 42 b/w illustrations
Topics: Mathematics, general