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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
- Taal
- Jaar van publicatie
- 2021
- product-detail.submit-box.info.binding
- (Paperback)
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- Ondertitel
- A Mathematical Drama in Five Acts
- Taal
- Engels
- Auteurs
- Tristan Needham
- Uitgever
- Princeton University Press
- Jaar van publicatie
- 2021
- Formaat
- Paperback
- Aantal pagina's
- 536
- ISBN13
- 9780691203706
- Reeks
- Tags
- Non-fictie, Studieboeken, Technologie & Industrie, Handleidingen en Gidsen, Wetenschap, Technologie, Wiskundeboeken, Geometrie
- Beoordeling
- 4,75 van 5
- Aantekening
- 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.