A Ludic Journey into Geometric Topology
Autor Ton Mararen Limba Engleză Hardback – 2 sep 2022
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.
| Toate formatele și edițiile | Preț | Express |
|---|---|---|
| Paperback (1) | 378.71 lei 6-8 săpt. | |
| Springer International Publishing – 3 sep 2023 | 378.71 lei 6-8 săpt. | |
| Hardback (1) | 385.84 lei 6-8 săpt. | |
| Springer International Publishing – 2 sep 2022 | 385.84 lei 6-8 săpt. |
Preț: 385.84 lei
Nou
Puncte Express: 579
Preț estimativ în valută:
73.84€ • 76.65$ • 61.57£
73.84€ • 76.65$ • 61.57£
Carte tipărită la comandă
Livrare economică 22 martie-05 aprilie
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9783031074417
ISBN-10: 3031074416
Pagini: 115
Ilustrații: XIV, 115 p. 168 illus., 123 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.36 kg
Ediția:2022
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3031074416
Pagini: 115
Ilustrații: XIV, 115 p. 168 illus., 123 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.36 kg
Ediția:2022
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
Cuprins
Preface.- Mathematical Models.- The Big Bang Theory of Ancient Greece.- Geometry: From disorder to order.- Topology.- Fourth dimension.- Non-orientable surfaces.- Hypersurfaces.
Recenzii
“Each section ends with a list of suggested reading … . the text should be approachable to anyone who is at least moderately interested in mathematics. … I think it would make a great source of entertaining supplemental reading for an undergraduate course related to geometry or topology.” (Timothy Clark, MAA Reviews, March 29, 2024)
“This book is an excellent introduction to geometry and topology, for people who do not know much about these subjects. … This book constitutes a very interesting reading for any advanced high-school pupil and for non-mathematicians. It should be also useful for university undergraduates. Geometers and topologists will also find it pleasant to skim, because of the historical remarks, the questions and relations that the author establishes between geometry and topology and the things of everyday life.” (Athanase Papadopoulos, zbMATH 07555479, 2023)
“This book is an excellent introduction to geometry and topology, for people who do not know much about these subjects. … This book constitutes a very interesting reading for any advanced high-school pupil and for non-mathematicians. It should be also useful for university undergraduates. Geometers and topologists will also find it pleasant to skim, because of the historical remarks, the questions and relations that the author establishes between geometry and topology and the things of everyday life.” (Athanase Papadopoulos, zbMATH 07555479, 2023)
Notă biografică
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.
Textul de pe ultima copertă
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.
Caracteristici
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