Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)

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9780821833759: Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics)

Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents the treatments of both subjects, including their applications to both classic and contemporary problems. It features an introduction to $G$-structures and a treatment of the theory of connections.

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About the Author:

Thomas A. Ivey: College of Charleston, Charleston, SC, Joseph M. Landsberg: Texas A&M University, College Station, TX

Review:

[T]his book, like the first edition, is an excellent source for graduate students and professional mathematicians who want to learn about moving frames and G-structures in trying to understand differential geometry. --Thomas Garrity, Mathematical Reviews

All the material is carefully developed, many examples supporting the understanding. The reviewer warmly recommends this volume to mathematical university libraries. --Gabriel Eduard Vilcu, Zentralblatt MATH

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Thomas Ivey, Peter T. Landsberg
Published by American Mathematical Society, United States (2003)
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Book Description American Mathematical Society, United States, 2003. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. This book is an introduction to Cartan s approach to differential geometry. Two central methods in Cartan s geometry are the theory of exterior differential systems 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. 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. 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 PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. Bookseller Inventory # AAN9780821833759

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Book Description American Mathematical Society, United States, 2003. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. This book is an introduction to Cartan s approach to differential geometry. Two central methods in Cartan s geometry are the theory of exterior differential systems 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. 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. 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 PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. Bookseller Inventory # AAN9780821833759

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Book Description Amer Mathematical Society, 2003. Hardcover. Book Condition: Brand New. illustrated edition. 378 pages. 10.00x7.00x1.00 inches. In Stock. Bookseller Inventory # __0821833758

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Book Description American Mathematical Society, 2003. Book Condition: New. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents the treatments of both subjects, including their applications to both classic and contemporary problems. It features an introduction to $G$-structures and a treatment of the theory of connections. Series: Graduate Studies in Mathematics. Num Pages: 378 pages, Illustrations. BIC Classification: PBKJ; PBMP; PBMW; PBPD; PBW. Category: (P) Professional & Vocational. Dimension: 186 x 262 x 25. Weight in Grams: 826. . 2003. Hardcover. . . . . . Bookseller Inventory # V9780821833759

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Book Description Hardback. Book Condition: New. Not Signed; This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to bo. book. Bookseller Inventory # ria9780821833759_rkm

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Book Description American Mathematical Society. Book Condition: New. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents the treatments of both subjects, including their applications to both classic and contemporary problems. It features an introduction to $G$-structures and a treatment of the theory of connections. Series: Graduate Studies in Mathematics. Num Pages: 378 pages, Illustrations. BIC Classification: PBKJ; PBMP; PBMW; PBPD; PBW. Category: (P) Professional & Vocational. Dimension: 186 x 262 x 25. Weight in Grams: 826. . 2003. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780821833759

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