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Proofs without Words: Exercises in Visual Thinking: v. 1 (Classroom Resource Materials)

Proofs without Words: Exercises in Visual Thinking: v. 1 (Classroom Resource Materials)
By Roger B. Nelsen

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Product Description

Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: Geometry and algebra; Trigonometry, calculus and analytic geometry; Inequalities; Integer sums; and Sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.

Product Details

  • Amazon Sales Rank: #357380 in Books
  • Published on: 1997-08-07
  • Original language: English
  • Number of items: 1
  • Binding: Paperback
  • 160 pages

Customer Reviews

5 MILLION STARS5
THIS BOOK AND ITS SECOND VOLUME ARE LOADED WITH A LOT OF INGENIOUS IDEAS INGENIOUS IDEAS .
AND I THINK ITS ON THE SAME LEVEL AS EPSTEIN'S MARVEL "THINKING PHYSICS" .
IN SHORT THE CONTENT WORTHS MANY TIMES THE VALUE OF MONEY.

ONE OTHER THING TO SAY HERE ABOUT AMAZON UK ,WHOSE CUSTOMER SERVIVCE HAVE EXCEEDED THE LIMTS OF CUSTOMER SATISFACTION THAT I THOUGHT NEVER EXISTING ON PLANET EARTH.
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A absolute delight5
This delightful book presents algebraic statements of various elementary results in algebra together with geometric constructions that make those results patently obvious. I'd recommend it to any student of mathematics.

On occasion students may encounter mathematicians who favour exclusively axiomatic methods and who will disparage the kinds of diagrammatic proof that this book presents. Anyone coming up against such miserable scoffers should Google for: Arnold & teaching & mathematics, and find out how Russia's most distingushed mathematician puts the idiots in their place.

Divorcing mathematics from geometry is a dangerous mental affliction that should be stamped out. More power to this book for upholding sanity in the teaching of mathematics. We need more like it.