Icons of mathematics: an exploration of twenty key images
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Washington, D.C.]
Mathematical Association of America
c2011
|
| Series: | Dolciani mathematical expositions
no. 45 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (p. 309-319) and index 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 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 |
| Physical Description: | 1 Online-Ressource (xvii, 327 p.) |
| ISBN: | 0883853523 0883859866 9780883853528 9780883859865 |
Staff View
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| 500 | |a 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 | ||
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Record in the Search Index
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| any_adam_object | |
| author | Alsina, Claudi |
| author_facet | Alsina, Claudi |
| author_role | aut |
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| dewey-full | 516.204 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.204 |
| dewey-search | 516.204 |
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| discipline | Mathematik |
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| id | DE-604.BV043121067 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:04Z |
| institution | BVB |
| isbn | 0883853523 0883859866 9780883853528 9780883859865 |
| language | English |
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| series2 | Dolciani mathematical expositions |
| spelling | Alsina, Claudi Verfasser aut Icons of mathematics an exploration of twenty key images Claudi Alsina, Roger B. Nelsen [Washington, D.C.] Mathematical Association of America c2011 1 Online-Ressource (xvii, 327 p.) txt rdacontent c rdamedia cr rdacarrier Dolciani mathematical expositions no. 45 Includes bibliographical references (p. 309-319) and index 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 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 MATHEMATICS / Geometry / General bisacsh Generation of geometric forms fast Geometrical constructions fast Geometrical drawing fast Geometry / Famous problems fast Geometry, Plane fast Mathematical notation fast Proof theory fast Visualization fast Geometry Famous problems Geometrical constructions Generation of geometric forms Proof theory Mathematical notation Geometrical drawing Geometry, Plane Visualization Diagramm (DE-588)4012044-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Beweis (DE-588)4132532-1 gnd rswk-swf Diagramm (DE-588)4012044-2 s Geometrie (DE-588)4020236-7 s Beweis (DE-588)4132532-1 s 1\p DE-604 Nelsen, Roger B. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=450280 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alsina, Claudi Icons of mathematics an exploration of twenty key images MATHEMATICS / Geometry / General bisacsh Generation of geometric forms fast Geometrical constructions fast Geometrical drawing fast Geometry / Famous problems fast Geometry, Plane fast Mathematical notation fast Proof theory fast Visualization fast Geometry Famous problems Geometrical constructions Generation of geometric forms Proof theory Mathematical notation Geometrical drawing Geometry, Plane Visualization Diagramm (DE-588)4012044-2 gnd Geometrie (DE-588)4020236-7 gnd Beweis (DE-588)4132532-1 gnd |
| subject_GND | (DE-588)4012044-2 (DE-588)4020236-7 (DE-588)4132532-1 |
| title | Icons of mathematics an exploration of twenty key images |
| title_auth | Icons of mathematics an exploration of twenty key images |
| title_exact_search | Icons of mathematics an exploration of twenty key images |
| title_full | Icons of mathematics an exploration of twenty key images Claudi Alsina, Roger B. Nelsen |
| title_fullStr | Icons of mathematics an exploration of twenty key images Claudi Alsina, Roger B. Nelsen |
| title_full_unstemmed | Icons of mathematics an exploration of twenty key images Claudi Alsina, Roger B. Nelsen |
| title_short | Icons of mathematics |
| title_sort | icons of mathematics an exploration of twenty key images |
| title_sub | an exploration of twenty key images |
| topic | MATHEMATICS / Geometry / General bisacsh Generation of geometric forms fast Geometrical constructions fast Geometrical drawing fast Geometry / Famous problems fast Geometry, Plane fast Mathematical notation fast Proof theory fast Visualization fast Geometry Famous problems Geometrical constructions Generation of geometric forms Proof theory Mathematical notation Geometrical drawing Geometry, Plane Visualization Diagramm (DE-588)4012044-2 gnd Geometrie (DE-588)4020236-7 gnd Beweis (DE-588)4132532-1 gnd |
| topic_facet | MATHEMATICS / Geometry / General Generation of geometric forms Geometrical constructions Geometrical drawing Geometry / Famous problems Geometry, Plane Mathematical notation Proof theory Visualization Geometry Famous problems Diagramm Geometrie Beweis |
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