Visual Differential Geometry and Forms

A Mathematical Drama in Five Acts

Autoren

Tristan Needham

Buchbewertung

5,0(15)Abgeben

Parameter

Seitenzahl: 536 Seiten
Lesezeit: 19 Stunden

Mehr zum Buch

The book emphasizes the geometric foundations of differential geometry through 235 hand-drawn diagrams and Newton's methods. It presents four distinct geometrical proofs of the Global Gauss-Bonnet theorem, a straightforward proof of Gauss's Theorema Egregium, and a thorough examination of the Riemann curvature tensor. Additionally, it explores Einstein's field equation in the context of General Relativity. The final act introduces advanced topics like vector calculus integral theorems and Maxwell's equations reformulated with 2-forms, allowing readers to engage with its chapters independently.