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A Ludic Journey into Geometric Topology
A Ludic Journey into Geometric Topology
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- More about A Ludic Journey into Geometric Topology
This book uses elements from everyday life, architecture, and the arts to provide a learning journey into geometric topology, starting with mathematical models and progressing to Platonic and Keplerian theories, Felix Klein's geometry, and topology concepts. It is accessible to a broad audience and appeals to those interested in the power of mathematics to represent our world.
Format: Hardback
Length: 115 pages
Publication date: 02 September 2022
Publisher: Springer International Publishing AG
This captivating book delves into the realm of geometric topology, weaving together elements from everyday life, architecture, and the arts to offer the reader a foundational understanding of this fascinating subject. From the iconic Pac-Man to subway maps and architectural blueprints, the book serves as a captivating gateway into the world of topology, providing a rich and enjoyable learning experience.
The text begins by exploring mathematical models, laying the foundation for subsequent chapters that delve into Platonic and Keplerian theories, illuminating the intricate workings of the cosmos. Geometric topology is then introduced, offering a fresh perspective on the study of shapes and their relationships.
The final chapters of the book present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Written in a style that is both rigorous and accessible, this book appeals to a broad audience, ranging from curious students and researchers in various fields of knowledge to anyone captivated by the power of mathematics in representing our world and beyond.
By incorporating a diverse range of real-world examples, the book fosters a deeper appreciation for the beauty and complexity of geometric topology, encouraging readers to explore its vast applications in fields such as computer science, physics, and mathematics. Whether you are a seasoned mathematician or a newcomer seeking to expand your horizons, this book is an invaluable resource for anyone seeking to unravel the secrets of shapes and their spatial relationships.
Weight: 371g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031074417
Edition number: 1st ed. 2022
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