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 presents a unique approach to differential geometry, emphasizing geometric intuition through 235 hand-drawn diagrams. It revisits classical results using Newton's methods and offers distinct geometrical proofs of significant theorems, including the Global Gauss-Bonnet theorem and Gauss's Theorema Egregium. The final act introduces differential forms, covering advanced topics like Maxwell's equations, de Rham cohomology, and Einstein's field equations, making complex concepts accessible to undergraduates. The chapters can be read independently, enhancing flexibility for learners.

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Lingua: Inglese

Pubblicato: 2021

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