Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
ISBN: 0691203709
EAN13: 9780691203706
Language: English
Pages: 584
Weight: 1.113334 lbs.
Format: Paperback

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

Select Format Format: Paperback Select Conditions Condition: New

Selected

Format: Paperback

Condition: New

$52.69
Quantity
74 Available

Select Conditions
  • New $52.69 Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
Book Overview

This Description may be from another edition of this product.

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 of vector calculus; the elegant reformulation of Maxwell's equations of Read More chevron_right

Frequently Asked Questions About Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

Book Reviews (0)

0
  |   0  reviews
Did you read Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts? Please provide your feedback and rating to help other readers.
Write Review
Captcha

No customer reviews for the moment.