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Visual Differential Geometry and Forms : A Mathematical Drama in Five Acts by Tristan Needham is a mathematics available to read on EtoBox.

What is Visual Differential Geometry and Forms : A Mathematical Drama in Five Acts about?

An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry . Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n -manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems o

Who reads Visual Differential Geometry and Forms : A Mathematical Drama in Five Acts?

Author

Tristan Needham

Publisher

Princeton University Press

Published

2021

Language

EN

ISBN

9780691203706

Category

mathematics

Subjects

Science, Physics, Mathematics

Rating

4.8 / 5 (279 ratings)

Updated

2026-03-14