Condition
LIKE NEW: This book is in excellent, like-new condition.
Product Details
This book is published in conjunction with the Mathematical Association of America (MAA) and is part of their
Problem Books series.
Continued from the back cover: "The problems emphasize the beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy.
"The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics."
Chapters
- Starting with Cauchy
- The AM-GM Inequality
- Lagrange's Identity and Minkowski's Conjecture
- On Geometry and Sums of Squares
- Consequences of Order
- Convexity—The Third Pillar
- Integral Intermezzo
- The Ladder of Power Means
- Hölder's Inequality
- Hilbert's Inequality and Compensating Difficulties
- Hardy's Inequality and the Flop
- Symmetric Sums
- Majorization and Schur Convexity
- Cancellation and Aggregation
The book ends with Solutions to Exercises, Chapter Notes, References, and Index.
