A Ludic Journey into Geometric Topology

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

¿Ton Marar is an Associate Professor at the Institute of Mathematics and Computer Sciences, University of São Paulo at São Carlos, Brazil. He holds a Master's degree (1983) in Mathematics (Geometry) from the same university, and a PhD (1989) from the University of Warwick, United Kingdom. His research fields include singularity theory and geometric topology or, more specifically, geometry and classification of singular surfaces and geometric aspects of singularities of maps.

Zusammenfassung

Explores real-world elements to introduce non-specialists to geometric topology

Offers a rich learning journey that is both dense and enjoyable

Engages everyone who feels intrigued by the power of mathematics in explaining the world

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2022
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiv 115 S. 45 s/w Illustr. 123 farbige Illustr. 115 p. 168 illus. 123 illus. in color.
ISBN-13:	9783031074417
ISBN-10:	3031074416
Sprache:	Englisch
Einband:	Gebunden
Autor:	Marar, Ton
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 13 mm
Von/Mit:	Ton Marar
Erscheinungsdatum:	02.09.2022
Gewicht:	0,371 kg

Artikel-ID: 121525032