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OverviewThe second volume of this series constructs the mathematical framework of higher dimensions and differential geometry. Proofs of real analysis are used immediately to establish the theory of manifolds. Tensors are carefully and methodically introduced throughout multiple definitions and demonstrations. Forms and their integration over manifolds are defined, and Hodge theory is deployed to unify the integral theorems of vector calculus into Stokes' theorem. A classical presentation of differential geometry precedes a development of Riemannian geometry. Covariant derivatives and connection forms are introduced and the tensor calculus and structure equations are constructed. Finally, the curvature and torsion tensors are constructed. Full Product DetailsAuthor: Ethan MorrisPublisher: Independently Published Imprint: Independently Published Volume: 2 Dimensions: Width: 21.60cm , Height: 1.60cm , Length: 27.90cm Weight: 0.685kg ISBN: 9798397104104Pages: 294 Publication Date: 04 June 2023 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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