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

Renting vs. Buying This Textbook

Renting is usually cheapest if you only need the book for one term: you return it with a free prepaid label when the term ends. Buying used can beat renting when the sell-back price is high, so compare the sell-back price with the rental price before you decide. An eTextbook arrives instantly but usually expires. Rentals and used copies rarely include working access codes.

Always match the ISBN on your syllabus (9780691203706) before you order; different editions have different ISBNs.

About This Book

"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…