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Proofs Without Words II: More Exercises in Visual Thinking

Proofs Without Words II: More Exercises in Visual Thinking

By Roger B. Nelsen

Catalog Code: PW2
Print ISBN: 978-0-88385-721-2
142 pp., Paperbound, 2000
Series: Classroom Resource Materials

Out of Print

Like its predecessor Proofs Without Words, published by the MAA in 1993, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true, and also to see how one might begin to go about proving it true. The emphasis is on providing visual clues to the observer to stimulate mathematical thought.

Table of Contents

1. Geometry and Algebra
2. Trigonometry, Calculus & Analytic Geometry
3. Inequalities
4. Integer Sums
5. Infinite Series, Linear Algebra, & Other Topics
Index of Names

About the Author

Roger Nelsen received his BA in mathematics from DePauw University in 1964 and his PhD in mathematics from Duke University in 1969. Roger was elected to Phi Beta Kappa and Sigma Xi, and taught mathematics and statistics at Lewis & Clark College in Portland, Oregon for 40 years before his retirement in 2009. His other books include: An Introductions to Copulas, Springer, 1999 (2nd ed. 2006); Proofs Without Words: Exercises in Visual Thinking, MAA, 1993; Math Made Visual: Creating Images for Understanding Mathematics (with Claudi Alsina), MAA, 2006; When Less is More: Visualizine Basic Inequalities (with Claudi Alsina), MAA, 2009; The Calculus Collection: A Resource for AP and Beyond (with Caren Diefenderfer, editors), MAA, 2010; and Charming Proofs: A Journey Into Elegant Mathematics (with Claudi Alsina), MAA, 2010.

MAA Review

Proofs Without Words II is a great resource for teachers. The variety of topics addressed makes it valuable at many levels, and is one of its strength. It is organized into chapters dealing with Geometry & Algebra, Trigonometry, Calculus & Analytic Geometry, Inequalities, Integer Sums, Infinite Series, Linear Algebra and other topics. Presented are theorems and statements which are proven mostly through the use of pictures. Continued...