Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics) Ed 2 free ebook download.

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Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics) Ed 2 free ebook download

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Author(s):	Thomas A. Ivey

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	1470409860
Pages:	455	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	12/9/2021 7:40:32 PM

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Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential 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. As well, the book features an introduction to G-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory  on the latest developments in the study of Darboux-integrable systems  and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.
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3057267	Book	https://tezfiles.com/file/1ff255f24ab2c/...		0.00	topron

Tags: Beginners Cartan Differential Exterior Frames Geometry Graduate Mathematics Moving Studies

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