Inequalities

An Approach Through Problems

B.J. Venkatachala (Autor)

Buch | Softcover

532 Seiten

2018 | Second Edition
Jainendra K Jain (Verlag)
978-93-86279-68-2 (ISBN)

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Provides an introduction to basic topics in 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. More than 400 problems are included and their solutions are explained.

This book is an introduction to basic topics in 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. More than 400 problems are included in the book and their solutions are explained. 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 in consolidating their knowledge of inequalities and their applications.

The author has been involved in training Indian students for mathematical olympiads for more than 25 years.

1 Some basic inequalities
2 Techniques for proving inequalities
3 Geometric inequalities
4 Applications involving inequalities
5 Problems on inequalities
6 Solutions to problems
7 Bibliography
8 Abbreviation
9 Index

Erscheinungsdatum	13.05.2018
Reihe/Serie	Texts and Readings in Mathematics
Verlagsort	Delhi
Sprache	englisch
Maße	152 x 229 mm
Gewicht	882 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	93-86279-68-1 / 9386279681
ISBN-13	978-93-86279-68-2 / 9789386279682
Zustand	Neuware