Icons of mathematics :: an exploration of twenty key images /
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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington, D.C.] :
The Mathematical Association of America,
[2011]
|
| Schriftenreihe: | Dolciani mathematical expositions ;
no. 45. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xvii, 327 pages) : illustrations, portraits |
| Bibliographie: | Includes bibliographical references (pages 309-319) and index. |
| ISBN: | 9780883859865 0883859866 |
Internformat
MARC
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| 245 | 1 | 0 | |a Icons of mathematics : |b an exploration of twenty key images / |c Claudi Alsina, Roger B. Nelsen. |
| 264 | 1 | |a [Washington, D.C.] : |b The Mathematical Association of America, |c [2011] | |
| 264 | 4 | |c ©2011 | |
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| 504 | |a Includes bibliographical references (pages 309-319) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | 8 | |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. | |
| 588 | 0 | |a Print version record. | |
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| 650 | 0 | |a Generation of geometric forms. |0 http://id.loc.gov/authorities/subjects/sh85053817 | |
| 650 | 0 | |a Proof theory. |0 http://id.loc.gov/authorities/subjects/sh85107437 | |
| 650 | 0 | |a Mathematical notation. |0 http://id.loc.gov/authorities/subjects/sh85082126 | |
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| 650 | 6 | |a Géométrie |x Problèmes classiques. | |
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| 650 | 6 | |a Visualisation de l'information. | |
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| author | Alsina, Claudi Nelsen, Roger B. |
| author_GND | http://id.loc.gov/authorities/names/n79030525 http://id.loc.gov/authorities/names/n94115896 |
| author_facet | Alsina, Claudi Nelsen, Roger B. |
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| author_sort | Alsina, Claudi |
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| callnumber-subject | QA - Mathematics |
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| contents | 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. |
| ctrlnum | (OCoLC)796653848 |
| dewey-full | 516.204 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.204 |
| dewey-search | 516.204 |
| dewey-sort | 3516.204 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn796653848 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:37:45Z |
| institution | BVB |
| isbn | 9780883859865 0883859866 |
| language | English |
| oclc_num | 796653848 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xvii, 327 pages) : illustrations, portraits |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | The Mathematical Association of America, |
| record_format | marc |
| series | Dolciani mathematical expositions ; |
| series2 | Dolciani mathematical expositions ; |
| spelling | Alsina, Claudi, author. http://id.loc.gov/authorities/names/n79030525 Icons of mathematics : an exploration of twenty key images / Claudi Alsina, Roger B. Nelsen. [Washington, D.C.] : The Mathematical Association of America, [2011] ©2011 1 online resource (xvii, 327 pages) : illustrations, portraits text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Dolciani mathematical expositions ; no. 45 Includes bibliographical references (pages 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. Print version record. Geometry Famous problems. http://id.loc.gov/authorities/subjects/sh85054137 Geometrical constructions. http://id.loc.gov/authorities/subjects/sh85054128 Generation of geometric forms. http://id.loc.gov/authorities/subjects/sh85053817 Proof theory. http://id.loc.gov/authorities/subjects/sh85107437 Mathematical notation. http://id.loc.gov/authorities/subjects/sh85082126 Geometrical drawing. http://id.loc.gov/authorities/subjects/sh85054129 Geometry, Plane. http://id.loc.gov/authorities/subjects/sh85054156 Information visualization. http://id.loc.gov/authorities/subjects/sh2002000243 Geometry, Modern Plane. http://id.loc.gov/authorities/subjects/sh85054153 Géométrie Problèmes classiques. Constructions géométriques. Génération de formes (Géométrie) Théorie de la preuve. Dessin géométrique. Géométrie plane. Visualisation de l'information. MATHEMATICS Geometry General. bisacsh Geometry, Modern Plane fast Generation of geometric forms fast Geometrical constructions fast Geometrical drawing fast Geometry Famous problems fast Geometry, Plane fast Mathematical notation fast Proof theory fast Information visualization fast Geometrie gnd http://d-nb.info/gnd/4020236-7 Diagramm gnd http://d-nb.info/gnd/4012044-2 Beweistheorie gnd http://d-nb.info/gnd/4145177-6 Nelsen, Roger B., author. http://id.loc.gov/authorities/names/n94115896 has work: Icons of mathematics (Text) https://id.oclc.org/worldcat/entity/E39PCGWJMHRHWDWqqdhGgMGrbd https://id.oclc.org/worldcat/ontology/hasWork Print version: Alsina, Claudi. Icons of mathematics. [Washington, D.C.] : Mathematical Association of America, ©2011 9780883853528 (DLC) 2011923441 (OCoLC)744299157 Dolciani mathematical expositions ; no. 45. http://id.loc.gov/authorities/names/n42009859 |
| spellingShingle | Alsina, Claudi Nelsen, Roger B. Icons of mathematics : an exploration of twenty key images / Dolciani mathematical expositions ; 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. Geometry Famous problems. http://id.loc.gov/authorities/subjects/sh85054137 Geometrical constructions. http://id.loc.gov/authorities/subjects/sh85054128 Generation of geometric forms. http://id.loc.gov/authorities/subjects/sh85053817 Proof theory. http://id.loc.gov/authorities/subjects/sh85107437 Mathematical notation. http://id.loc.gov/authorities/subjects/sh85082126 Geometrical drawing. http://id.loc.gov/authorities/subjects/sh85054129 Geometry, Plane. http://id.loc.gov/authorities/subjects/sh85054156 Information visualization. http://id.loc.gov/authorities/subjects/sh2002000243 Geometry, Modern Plane. http://id.loc.gov/authorities/subjects/sh85054153 Géométrie Problèmes classiques. Constructions géométriques. Génération de formes (Géométrie) Théorie de la preuve. Dessin géométrique. Géométrie plane. Visualisation de l'information. MATHEMATICS Geometry General. bisacsh Geometry, Modern Plane fast Generation of geometric forms fast Geometrical constructions fast Geometrical drawing fast Geometry Famous problems fast Geometry, Plane fast Mathematical notation fast Proof theory fast Information visualization fast Geometrie gnd http://d-nb.info/gnd/4020236-7 Diagramm gnd http://d-nb.info/gnd/4012044-2 Beweistheorie gnd http://d-nb.info/gnd/4145177-6 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054137 http://id.loc.gov/authorities/subjects/sh85054128 http://id.loc.gov/authorities/subjects/sh85053817 http://id.loc.gov/authorities/subjects/sh85107437 http://id.loc.gov/authorities/subjects/sh85082126 http://id.loc.gov/authorities/subjects/sh85054129 http://id.loc.gov/authorities/subjects/sh85054156 http://id.loc.gov/authorities/subjects/sh2002000243 http://id.loc.gov/authorities/subjects/sh85054153 http://d-nb.info/gnd/4020236-7 http://d-nb.info/gnd/4012044-2 http://d-nb.info/gnd/4145177-6 |
| 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 | Geometry Famous problems. http://id.loc.gov/authorities/subjects/sh85054137 Geometrical constructions. http://id.loc.gov/authorities/subjects/sh85054128 Generation of geometric forms. http://id.loc.gov/authorities/subjects/sh85053817 Proof theory. http://id.loc.gov/authorities/subjects/sh85107437 Mathematical notation. http://id.loc.gov/authorities/subjects/sh85082126 Geometrical drawing. http://id.loc.gov/authorities/subjects/sh85054129 Geometry, Plane. http://id.loc.gov/authorities/subjects/sh85054156 Information visualization. http://id.loc.gov/authorities/subjects/sh2002000243 Geometry, Modern Plane. http://id.loc.gov/authorities/subjects/sh85054153 Géométrie Problèmes classiques. Constructions géométriques. Génération de formes (Géométrie) Théorie de la preuve. Dessin géométrique. Géométrie plane. Visualisation de l'information. MATHEMATICS Geometry General. bisacsh Geometry, Modern Plane fast Generation of geometric forms fast Geometrical constructions fast Geometrical drawing fast Geometry Famous problems fast Geometry, Plane fast Mathematical notation fast Proof theory fast Information visualization fast Geometrie gnd http://d-nb.info/gnd/4020236-7 Diagramm gnd http://d-nb.info/gnd/4012044-2 Beweistheorie gnd http://d-nb.info/gnd/4145177-6 |
| topic_facet | Geometry Famous problems. Geometrical constructions. Generation of geometric forms. Proof theory. Mathematical notation. Geometrical drawing. Geometry, Plane. Information visualization. Geometry, Modern Plane. Géométrie Problèmes classiques. Constructions géométriques. Génération de formes (Géométrie) Théorie de la preuve. Dessin géométrique. Géométrie plane. Visualisation de l'information. MATHEMATICS Geometry General. Geometry, Modern Plane Generation of geometric forms Geometrical constructions Geometrical drawing Geometry Famous problems Geometry, Plane Mathematical notation Proof theory Information visualization Geometrie Diagramm Beweistheorie |
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