Lectures on Differential Geometry: 245 (Graduate Studies in Mathematics) - Tapa blanda

Chow, Bennett ; Chow, Yutze

9781470478049: Lectures on Differential Geometry: 245 (Graduate Studies in Mathematics)

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ISBN 10: 1470478048 ISBN 13: 9781470478049

Editorial: American Mathematical Society, 2024

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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.

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Bennett Chow, University of California, San Diego, La Jolla, CA, and Yutze Chow, University of Wisconsin - Milwaukee, WI.

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Editorial: American Mathematical Society
A�o de publicaci�n: 2024
Idioma: Ingl�s
ISBN 10: 1470478048
ISBN 13: 9781470478049
Encuadernaci�n: Tapa blanda
N�mero de p�ginas: 750
Contacto del fabricante: no disponible
Persona responsable: no disponible

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Lectures on Differential Geometry

Bennett Chow

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ISBN 10: 1470478048 ISBN 13: 9781470478049

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Lectures on Differential Geometry: 245 (Graduate Studies in Mathematics)

Chow, Bennett

Publicado por American Mathematical Society, 2024

ISBN 10: 1470478048 ISBN 13: 9781470478049

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Lectures on Differential Geometry

Chow, Bennett (Author)/ Chow, Yutze (Author)

Publicado por MPAMM American Mathematical, 2024

ISBN 10: 1470478048 ISBN 13: 9781470478049

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Lectures on Differential Geometry (Paperback)

Bennett Chow

Publicado por American Mathematical Society, Providence, 2024

ISBN 10: 1470478048 ISBN 13: 9781470478049

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Paperback. Condici�n: new. 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. N� de ref. del art�culo: 9781470478049

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Lectures on Differential Geometry: 245 (Graduate Studies in Mathematics)

Chow, Bennett

Publicado por American Mathematical Society, 2024

ISBN 10: 1470478048 ISBN 13: 9781470478049

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Lectures on Differential Geometry

Bennett Chow, Yutze Chow

Publicado por American Mathematical Society, US, 2024

ISBN 10: 1470478048 ISBN 13: 9781470478049

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Librería: Rarewaves.com USA, London, LONDO, Reino Unido

Calificaci�n del vendedor: 5 de 5 estrellas

Paperback. Condici�n: New. 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. N� de ref. del art�culo: LU-9781470478049

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