Needham, Tristan
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
- ISBN 13:
- 9780691203706
- author:
- Needham, Tristan
- format:
- Paperback / softback
- publisher:
- Princeton University Press
- language:
- English
- Publication Year:
- 2021
- Pages:
- 584
- Dimensions:
- 25 x 17.6 x 2.8 centimeters (0.9
- Genre:
- Science, Mathematics, Calculus,
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts by Tristan Needham is an innovative exploration of differential geometry and forms. The book's five acts offer a unique approach to understanding this complex subject, combining intuitive visual explanations with advanced mathematical concepts. The first four acts focus on reintroducing the geometry behind differential geometry, using 235 hand-drawn diagrams to illustrate key results. These sections include distinct geometrical proofs of important theorems and provide a comprehensive treatment of fundamental topics such as curvature tensors and Einstein's field equation. The final act introduces differential forms in an accessible manner, covering advanced topics like Maxwell's equations and de Rham cohomology. This book is designed to provoke new thinking about differential geometry and its teaching, requiring only basic calculus and geometry. With its unique blend of visual explanations and mathematical rigor, Visual Differential Geometry and Forms is an ideal resource for those looking to deepen their understanding of this important area of mathematics.
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