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When Less is More: Visualizing Basic Inequalities (Dolciani Mathematical Expositions) 1st Edition

5 out of 5 stars 1 customer review
ISBN-13: 978-0883853429
ISBN-10: 0883853426
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Editorial Reviews


The book will be valuable for secondary and collegiate teachers as a source of inspiration for preparing lessons. It is also recommended for self study to students having adquate knowledge of geometry and a sufficiently rigorous mind. --Zentralblatt fur Mathematik

The Dolciani Mathematical Expositions series has once again provided an excellent text in the publication When Less is More: Visualizing Basic Inequalities. Alsina and Nelsen offer readers visual arguments for many historical inequalities, allowing a deeper understanding of those inequalities. Perhaps even more significant than the deeper meaning of these particular inequalities is the fact that the authors present a methodology for producing such visual arguments. Each of the nine chapters features a different approach and concludes with "challenge" problems (with solutions) to support the understanding of the chapter's method. The text is highly recommended for instructors as a course supplement and could prove an excellent undergraduate text for a course in inequalities. --Matthew J. Haines (Minneapolis, MN) Mathematical Reviews

Book Description

An introduction to basic inequalities in mathematics (including numbers, functions and geometry) motivated and illustrated by drawings that make it possible to 'see' the results in an elegant manner. Applications of the inequalities, historical details, and exercises for the reader (with solutions) are also included.

Product Details

  • Series: Dolciani Mathematical Expositions
  • Hardcover: 164 pages
  • Publisher: The Mathematical Association of America; 1 edition (April 1, 2009)
  • Language: English
  • ISBN-10: 0883853426
  • ISBN-13: 978-0883853429
  • Product Dimensions: 6.7 x 0.6 x 9.7 inches
  • Shipping Weight: 14.1 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,982,597 in Books (See Top 100 in Books)

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Top Customer Reviews

Format: Hardcover Verified Purchase
Very beautiful stuff. Right now I'm making colorful tutorials based on the images inside this book. It really does give you a geometric and intuitive understand of many inequalities. It's very helpful to use this in conjunction with Michael J. Steele's Cauchy-Schwarz Masterclass.
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When Less is More: Visualizing Basic Inequalities (Dolciani Mathematical Expositions)
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