Algebraic Inequalities: New Vistas by Titu Andreescu
My rating: 4 of 5 stars
This book, while slim, economically, effectively, and elegantly moves from basic arithmetic to sophisticated inequality topics. The reader of this self-contained text lands at Cauchy-Schwarz and Chebyshev's sum inequalities. Part of the effectiveness of the presentation requiring no more than high school algebra is the detailed solutions for the problem sets. Typically, more than one approach to a solution is detailed. The solutions can be several pages longer than the chapter and exercises. The problems are even re-stated with the solutions, which is a generous and seldom-seen convenience...
[Look for my entire review up at MAA Reviews.]
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