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Differential Geometry: Connections, Curvature, and Characteristic Classes
Loring W. Tu
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Description for Differential Geometry: Connections, Curvature, and Characteristic Classes
Hardback. .
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern-Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss-Bonnet theorem. Exercises throughout the book test the reader's understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first ... Read more
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern-Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss-Bonnet theorem. Exercises throughout the book test the reader's understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Hardback
Publication date
2017
Series
Graduate Texts in Mathematics
Condition
New
Weight
28g
Number of Pages
347
Place of Publication
Cham, Switzerland
ISBN
9783319550824
SKU
V9783319550824
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-2
About Loring W. Tu
Loring W. Tu was born in Taipei, Taiwan, and grew up in Taiwan, Canada, and the United States. He attended McGill and Princeton as an undergraduate, and obtained his Ph.D. from Harvard University under the supervision of Phillip A. Griffiths. He has taught at the University of Michigan, Ann Arbor, and at Johns Hopkins University, and is currently Professor of ... Read more
Reviews for Differential Geometry: Connections, Curvature, and Characteristic Classes
The textbook is a concise and well organized treatment of characteristic classes on principal bundles. It is characterized by a right balance between rigor and simplicity. It should be in every mathematician's arsenal and take its place in any mathematical library. (Nabil L. Youssef, zbMATH 1383.53001, 2018)