Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems.
Language: English
Published by Providence: American Mathematical Society, 2003
- First Edition
- Hardcover
- Used
Seller: Plurabelle Books Ltd, Cambridge, United KingdomPlurabelle Books Ltd
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View this seller's itemsCondition: Used - Very good
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Series: Graduate Studies in Mathematics. xiv 378p hardback in very good condition, glossy blue and yellow laminated boards, tight binding, clean and bright pages, a bit of light foxing to endpapers, otherwise like new with no noticeable wear or markings Language: English Weight (g): 3000.
Seller Inventory # 233511
- Title
- Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems.
- Author
- Ivey, Thomas and J M Landsberg:
- Publisher
- Providence: American Mathematical Society
- Publication year
- 2003
- Condition
- Very Good
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0821833758
- ISBN 13
- 9780821833759
- Edition
- 1st Edition
- Item weight
- 3,000 grams
- Series
- Book 45 of 190: Graduate Studies in Mathematics
- Seller catalogs
- Mathematics
It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs.
Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry.
The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence.
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Plurabelle Books Ltd
Cambridge, United Kingdom
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