Icons of mathematics : an exploration of twenty key images
 Author/Creator
 Alsina, Claudi.
 Language
 English.
 Imprint
 [Washington, D.C.] : Mathematical Association of America, c2011.
 Physical description
 xvii, 327 p. : ill ; 24 cm.
 Series
 Dolciani mathematical expositions ; no. 45.
Access
Available online

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QA466 .A47 2011

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QA466 .A47 2011
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Contributors
 Contributor
 Nelsen, Roger B.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 309319) and index.
 Contents

 Preface Twenty key icons of mathematics 1. The Bride's Chair 2. Zhou Bi Suan Jing 3. Garfield's trapezoid 4. The semicircle 5. Similar figures 6. Cevians 7. The right triangle 8. Napoleon's triangles 9. Arcs and angles 10. Polygons with circles 11. Two circles 12. Venn diagrams 13. Overlapping figures 14. Yin and yang 15. Polygonal lines 16. Star polygons 17. Selfsimilar figures 18. Tatami 19. The rectangular hyperbola 20. Tiling Solutions to the challenges References Index About the authors.
 (source: Nielsen Book Data)
 Publisher's Summary
 Certain geometric diagrams play a crucial role in visualizing mathematical proofs. Twenty of these icons of mathematics are presented in this book, where the authors explore the mathematics within them and the mathematics that can be created from them. A chapter is devoted to each icon, illustrating its presence in real life, its primary mathematical characteristics and how it plays a central role in visual proofs of a wide range of mathematical facts. Among these are classical results from plane geometry, properties of the integers, means and inequalities, trigonometric identities, theorems from calculus and puzzles from recreational mathematics. Each chapter concludes with a selection of challenges for the reader to explore further properties and applications of the icon. Those teaching undergraduate mathematics will find material here for problem solving sessions, as well as enrichment material for courses on proofs and mathematical reasoning.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Responsibility
 Claudi Alsina, Roger B. Nelsen.
 Series
 Dolciani mathematical expositions ; no. 45
 ISBN
 9780883853528
 0883853523
 9780883859865
 0883859866