Proofs Without Words: Exercises in Visual Thinking

Couverture
American Mathematical Soc., 18 févr. 2020 - 152 pages
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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Table des matières

Trigonometry Calculus Analytic Geometry
27
Inequalities
47
Integer Sums
67
Sequences Series
113
Miscellaneous
131
Sources
145
Index of Names
151
Back Cover
153
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