Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

Tristan Needham

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Lingua: inglese

Editore: Princeton University Press, 2021

0691203709 / 9780691203706

Da: World of Books (was SecondSale), Montgomery, IL, U.S.A.World of Books (was SecondSale)

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Descrizione dell’articolo da parte del venditore

An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton?s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss?s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein?s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell?s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan?s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book.Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.…

Codice articolo CIN0691203709VG

Titolo
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
Autore
Tristan Needham
Editore
Princeton University Press
Anno di pubblicazione
2021
Condizione
Very Good
Rilegatura
Paperback
Lingua
inglese
ISBN 10
0691203709
ISBN 13
9780691203706

World of Books (was SecondSale)

Montgomery, IL, U.S.A.

Venditore con 5 stelle

Venditore AbeBooks dal 20 dicembre 2007

Tariffe di spedizione nazionale per U.S.A.

ArticoloDa 4 a 12 giorni lavorativiDa 3 a 6 giorni lavorativi
Primo articoloEUR 0,00EUR 9,75
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