| Nelsen R. Proofs without Words I. Exercises in Visual Thinking 1997.pdf | 3.79 MB |
Textbook in PDF format
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
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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