Visual Differential Geometry and Forms

A Mathematical Drama in Five Acts

Autori

• Tristan Needham

Parametri

Pagine

536pagine

Tempo di lettura

19ore

• Libri di testo
• Manuali e guide
• Matematica
• Saggistica
• Scienza

Maggiori informazioni sul libro

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.

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Lingua: Inglese

Pubblicato: 2021

(In brossura)