Download PDF Visual Differential Geometry and
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts. Tristan Needham
Visual-Differential-Geometry.pdf
ISBN: 9780691203706 | 584 pages | 15 Mb
- Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
- Tristan Needham
- Page: 584
- Format: pdf, ePub, fb2, mobi
- ISBN: 9780691203706
- Publisher: Princeton University Press
Google books free download pdf Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts RTF FB2 by Tristan Needham (English literature)
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 electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Visual Differential Geometry and Forms - The Concord
Visual Differential Geometry and Forms: A Mathematical Drama in Five In the first four acts, Tristan Needham puts the geometry back into
Visual Differential Geometry and Forms - Fountain Bookstore |
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts (Hardcover) ; By Tristan Needham ; About the Author. Tristan Needham is
Visual Differential Geometry and Forms: A - Brazos Bookstore
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts (Paperback). By Tristan Needham. $45.00.
Customer reviews: Visual Differential Geometry and Forms
Find helpful customer reviews and review ratings for Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts at Amazon.com.
Customer reviews: Visual Differential Geometry and Forms
Find helpful customer reviews and review ratings for Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts at Amazon.com.
Visual Differential Geometry and Forms - Ink Spell Books
Visual Differential Geometry and Forms: A Mathematical Drama in Five In the first four acts, Tristan Needham puts the geometry back into
[Book] Visual Differential Geometry and Forms - Reddit
[Book] Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts by Tristan Needham · More posts you may like · Enjoy the full
Customer reviews: Visual Differential Geometry and Forms
Find helpful customer reviews and review ratings for Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts at Amazon.com.
Visual Differential Geometry and Forms: A - Amazon
Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential
Pdf downloads:
Download PDF Windows 11 For Dummies by
0コメント