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marar ton - a ludic journey into geometric topology

A Ludic Journey into Geometric Topology




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 09/2022
Edizione: 1st ed. 2022





Trama

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. 




Sommario

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





Autore

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.










Altre Informazioni

ISBN:

9783031074417

Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 371 gr
Formato: Copertina rigida
Illustration Notes:XIV, 115 p. 168 illus., 123 illus. in color.
Pagine Arabe: 115
Pagine Romane: xiv


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