Proofs Without Words: Exercises in Visual Thinking, Volume 1
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.
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Excellent books for making you think.
Review: Proofs without Words: Exercises in Visual Thinking: v. 1 (Classroom Resource Materials)User Review - Tom Schulte - Goodreads
This slim collection of varied visual “proofs” (of course the term can be argued to be liberally applied here) is entertaining and enlightening. I personally find such representations engaging and ... Read full review
Proofs that Really Count: The Art of Combinatorial Proof
Arthur T. Benjamin,Jennifer J. Quinn
No preview available - 2003