Overview
- 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
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Table of contents (7 chapters)
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About this book
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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Bibliographic Information
Book Title: A Ludic Journey into Geometric Topology
Authors: Ton Marar
DOI: https://doi.org/10.1007/978-3-031-07442-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-07441-7Published: 02 September 2022
Softcover ISBN: 978-3-031-07444-8Published: 03 September 2023
eBook ISBN: 978-3-031-07442-4Published: 01 September 2022
Edition Number: 1
Number of Pages: XIV, 115
Number of Illustrations: 45 b/w illustrations, 123 illustrations in colour
Topics: Geometry, Topology, Mathematics, general