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Inequalities: An Approach through Problems
B. J. Venkatachala, Indian Institute of Science, Banglore, India
A publication of Hindustan Book Agency.
Hindustan Book Agency
2009; 400 pp; hardcover
ISBN-10: 81-85931-88-7
ISBN-13: 978-81-85931-88-3
List Price: US$48
Member Price: US$38.40
Order Code: HIN/37
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This book is an introduction to the study of fundamental inequalities such as the arithmetic mean-geometric mean inequality, the Cauchy-Schwarz inequality, the Chebyshev inequality, the rearrangement inequality, and the inequalities for convex and concave functions. The emphasis is on the use of these inequalities for solving problems. The book's special feature is a chapter on the geometrical inequalities that studies relations between various geometrical measures. It contains more than 300 problems, many of which are applications of inequalities. A large number of problems are taken from the International Mathematical Olympiads (IMO) and many national olympiads from countries across the world.

The book should be very useful for students participating in mathematical contests. It should also help graduate students consolidate their knowledge of inequalities by way of applications.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Undergraduate and graduate students interested in analysis.

Table of Contents

  • Some basic inequalities
  • Techniques for proving inequalities
  • Geometric inequalities
  • Applications involving inequalities
  • Problems on inequalities
  • Solutions to problems
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