Like its predecessor, Proofs without Words, this book is a collection of 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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Roger Nelsen received his Ph.D. in mathematics from Duke University. Since 1969 he has taught at Lewis & Clark College, where he is professor of mathematics. He currently chairs the editorial board for the Mathematical Association of America's series of Problem Books, and served for ten years as an associate editor of the College Mathematics Journal. He has published expository and research articles in the American Mathematical Monthly, Mathematics Magazine, the College Mathematics Journal, Statistics & Probability Letters, the Journal of Multivariate Analysis, and the Journal of Nonparametric Statistics. His other books are Proofs Without Words: Exercises in Visual Thinking (MAA, 1993) and An Introduction to Copulas (Springer, 1999).
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