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- 536pages
- 19 heures de lecture
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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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Visual Differential Geometry and Forms, Tristan Needham
- Langue
- Année de publication
- 2021
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- Titre
- Visual Differential Geometry and Forms
- Sous-titre
- A Mathematical Drama in Five Acts
- Langue
- Anglais
- Auteurs
- Tristan Needham
- Éditeur
- Princeton University Press
- Publié
- 2021
- Format
- souple
- Pages
- 536
- ISBN13
- 9780691203706
- Séries
- Mots clés
- Nonfiction, Manuels, Technologie & Ingénierie, Manuels et guides, Science, Technologie, Manuels de mathématiques, Géométrie
- Évaluation
- 4,75 sur 5
- Description
- 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.