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A ludic journey into geometric topology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A ludic journey into geometric topologyby Ton Marar.
作者:	Marar, Ton.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xiv, 115 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Topology.
電子資源:	https://doi.org/10.1007/978-3-031-07442-4
ISBN:	9783031074424$q(electronic bk.)

A ludic journey into geometric topology
Marar, Ton.

A ludic journey into geometric topology[electronic resource] /by Ton Marar. - Cham :Springer International Publishing :2022. - xiv, 115 p. :ill. (some col.), digital ;24 cm.

Preface -- Mathematical Models -- The Big Bang Theory of Ancient Greece -- Geometry: From disorder to order -- Topology -- Fourth dimension -- Non-orientable surfaces -- Hypersurfaces.

This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond.

ISBN: 9783031074424$q(electronic bk.)

Standard No.: 10.1007/978-3-031-07442-4doiSubjects--Topical Terms:

185965
Topology.

LC Class. No.: QA611

Dewey Class. No.: 514

A ludic journey into geometric topology
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245 1 2 $a A ludic journey into geometric topology $h [electronic resource] / $c by Ton Marar.
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300 $a xiv, 115 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Preface -- Mathematical Models -- The Big Bang Theory of Ancient Greece -- Geometry: From disorder to order -- Topology -- Fourth dimension -- Non-orientable surfaces -- Hypersurfaces.
520 $a This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond.
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650 1 4 $a Geometry. $3 183883
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650 2 4 $a General Mathematics. $3 929628
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