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Icons of mathematics [[electronic resource] ] : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen



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Autore: Alsina Claudi Visualizza persona
Titolo: Icons of mathematics [[electronic resource] ] : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen Visualizza cluster
Pubblicazione: [Washington, D.C.], : Mathematical Association of America, c2011
Descrizione fisica: 1 online resource (347 p.)
Disciplina: 516.2/04
Soggetto topico: Geometry - Famous problems
Geometrical constructions
Generation of geometric forms
Proof theory
Mathematical notation
Geometrical drawing
Geometry, Plane
Visualization
Soggetto genere / forma: Electronic books.
Altri autori: NelsenRoger B  
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (p. 309-319) and index.
Nota di contenuto: ; The bride's chair -- Zhou Bi Suan Jing -- Garfield's trapezoid -- ; The semicircle -- Similar figures -- Cevians -- ; The right triangle -- Napoleon's triangles -- Arcs and angles -- Polygons with circles -- Two circles -- Venn diagrams -- Overlapping figures -- Yin and yang -- Polygonal lines -- Star polygons -- Self-similar figures -- Tatami -- ; The rectangular hyperbola -- Tiling -- Solutions to the challenges.
Sommario/riassunto: Icons of mathematics are certain geometric diagrams that play a crucial role in visualizing mathematical proofs, and in the book the authors present 20 of them and explore the mathematics that lies within and that can be created. The authors devote a chapter 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.
Titolo autorizzato: Icons of mathematics  Visualizza cluster
ISBN: 0-88385-986-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910461929403321
Lo trovi qui: Univ. Federico II
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Serie: Dolciani Mathematical Expositions