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Lectures On The Geometry Of Manifolds (Third Edition)
Lectures On The Geometry Of Manifolds (Third Edition)
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- More about Lectures On The Geometry Of Manifolds (Third Edition)
This book provides an introduction to modern geometry, covering topics such as differential and integral calculus on manifolds, connections on vector bundles, Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry, characteristic classes, elliptic equations, and Dirac operators.
Format: Paperback / softback
Length: 700 pages
Publication date: 22 October 2020
Publisher: World Scientific Publishing Co Pte Ltd
The aim of this comprehensive book is to provide a thorough introduction to the diverse range of techniques, ideas, and concepts commonly employed in modern geometry. It begins with a foundational approach, covering essential topics such as differential and integral calculus on manifolds, connections on vector bundles, their curvatures, fundamental Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (including the tube and Crofton formulas), characteristic classes, elliptic equations on manifolds, and Dirac operators. In this updated edition, a new chapter on spectral geometry has been included, presenting recent results that have been published for the first time in print. This chapter showcases the latest advancements in the field, offering valuable insights to readers. Whether you are a student, researcher, or enthusiast, this book serves as a valuable resource for exploring the rich and evolving world of modern geometry.
The aim of this comprehensive book is to provide a thorough introduction to the diverse range of techniques, ideas, and concepts commonly employed in modern geometry. It begins with a foundational approach, covering essential topics such as differential and integral calculus on manifolds, connections on vector bundles, their curvatures, fundamental Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (including the tube and Crofton formulas), characteristic classes, elliptic equations on manifolds, and Dirac operators. In this updated edition, a new chapter on spectral geometry has been included, presenting recent results that have been published for the first time in print. This chapter showcases the latest advancements in the field, offering valuable insights to readers. Whether you are a student, researcher, or enthusiast, this book serves as a valuable resource for exploring the rich and evolving world of modern geometry.
Weight: 1204g
Dimension: 171 x 246 x 42 (mm)
ISBN-13: 9789811215957
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