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A ludic journey into geometric topology

Record Type:	Electronic resources : Monograph/item
Title/Author:	A ludic journey into geometric topologyby Ton Marar.
Author:	Marar, Ton.
Published:	Cham :Springer International Publishing :2022.
Description:	xiv, 115 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Topology.
Online resource:	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
650 2 4 $a Mathematics in Popular Science. $3 933948
650 2 4 $a General Mathematics. $3 929628
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773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-07442-4
950 $a Mathematics and Statistics (SpringerNature-11649)

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