Proofs without words : exercises in visual thinking

書誌事項

Proofs without words : exercises in visual thinking

Roger B. Nelsen

(Classroom resource materials, v.1)

Mathematical Association of America, c1993 , MAA Press, an imprint of the American Mathematical Society, 2020, c1993

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注記

Includes index

Reprinted by the American Mathematical Society, 2020 -- t.p.verso

内容説明・目次

内容説明

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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