Geometry and the Imagination by John Conway, Peter Doyle, William Thurston - PDF
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About this book :-
This text explores various geometric concepts, including the Leibniz formula, configurations of points and lines with equally many points on each line and equally many lines through each point, curvature and non-Euclidean geometry, mechanical linkages, the classification of manifolds by their Euler characteristic, and the four-color theorem. The book aims to present mathematical ideas in an intuitive and accessible manner, making complex topics understandable to a broader audience. It serves as both an educational resource and a source of inspiration for those interested in the beauty of geometry.
These are notes from an experimental mathematics course entitled Geometry and the Imagination as developed by Conway, Doyle, Thurston and others. The course aims to convey the richness, diversity, connectedness, depth and pleasure of mathematics.
Book Detail :-
This book has following details information.
Title:
Geometry and the Imagination by John Conway, Peter Doyle, William Thurston - PDF
Publisher:
Arxiv
Year:
2018
Pages:
68
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
N\A
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
1. Preface
2. Philosophy
3. Organization
4. Bicycle tracks
5. Polyhedra
6. Knots
7. Maps
8. Notation for some knots
9. Knots diagrams and maps
10. Unicursal curves and knot diagrams
11. Gas, water, electricity
12. Topology
13. Surfaces
14. How to knit a M¨obius Band
15. Geometry on the sphere
16. Course projects
17. The angle defect of a polyhedron
18. Descartes’s Formula
19. Exercises in imagining
20. Curvature of surfaces
21. Gaussian curvature
22. Clocks and curvature
23. Photographic polyhedron
24. Mirrors
25. More paper-cutting patterns
26. Summary
27. The Euler Number
28. Symmetry and orbifolds
29. Names for features of symmetrical patterns
30. Names for symmetry groups and orbifolds
31. Stereographic Projection
32. The orbifold shop
33. The Euler characteristic of an orbifold
34. Positive and negative Euler characteristic
35. Hyperbolic Geometry
36. Distance recipe
37. A field guide to the orbifolds
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