Lectures on Differential Geometry (Paperback)

Lingua: inglese

Editore: American Mathematical Society, Providence, 2024

1470478048 / 9781470478049

Da: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail

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Venditore AbeBooks dal 12 ottobre 2005

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Paperback. Differential geometry is a subject related to many fields in mathematics and the sciences. The authors of this book provide a vertically integrated introduction to differential geometry and geometric analysis. The material is presented in three distinct parts: an introduction to geometry via submanifolds of Euclidean space, a first course in Riemannian geometry, and a graduate special topics course in geometric analysis, and it contains more than enough content to serve as a good textbook for a course in any of these three topics.The reader will learn about the classical theory of submanifolds, smooth manifolds, Riemannian comparison geometry, bundles, connections, and curvature, the Chern-Gauss-Bonnet formula, harmonic functions, eigenfunctions, and eigenvalues on Riemannian manifolds, minimal surfaces, the curve shortening flow, and the Ricci flow on surfaces. This will provide a pathway to further topics in geometric analysis such as Ricci flow, used by Hamilton and Perelman to solve the Poincare and Thurston geometrization conjectures, mean curvature flow, and minimal submanifolds.The book is primarily aimed at graduate students in geometric analysis, but it will also be of interest to postdoctoral researchers and established mathematicians looking for a refresher or deeper exploration of the topic. A unified exploration of differential geometry guides readers through submanifolds, Riemannian spaces, and advanced geometric analysis. It covers smooth manifolds, curvature, harmonic functions, and flows like curve shortening and Ricci, engaging graduate students and researchers in deeper geometrical insights. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9781470478049

Titolo
Lectures on Differential Geometry (Paperback)
Autore
Bennett Chow
Editore
American Mathematical Society, Providence
Anno di pubblicazione
2024
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1470478048
ISBN 13
9781470478049

Grand Eagle Retail

Bensenville, IL, U.S.A.

Venditore con 5 stelle

Venditore AbeBooks dal 12 ottobre 2005

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