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, SC. Joseph M. Landsberg, Texas A&M University, College Station, TX.

Review:

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

"Sobre este título" puede pertenecer a otra edición de este libro.

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Thomas A. Ivey, J. M. Landsberg
Editorial: Amer Mathematical Society (2003)
ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción Amer Mathematical Society, 2003. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821833758

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Thomas Ivey, Peter T. Landsberg
Editorial: American Mathematical Society, United States (2003)
ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción American Mathematical Society, United States, 2003. Hardback. Estado de conservación: 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. Nº de ref. de la librería AAZ9780821833759

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Thomas A. Ivey; J. M. Landsberg
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Descripción Estado de conservación: New. Bookseller Inventory # ST0821833758. Nº de ref. de la librería ST0821833758

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Thomas Ivey, Peter T. Landsberg
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ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción American Mathematical Society, United States, 2003. Hardback. Estado de conservación: 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. Nº de ref. de la librería AAZ9780821833759

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Ivey, Thomas A.
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ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción Amer Mathematical Society. Estado de conservación: Brand New. FREE domestic ground shipping. Fast priority express available. Tracking service included. Ships from USA (United States of America). Nº de ref. de la librería 0821833758

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Ivey, Thomas; Landsberg, P.T.
Editorial: American Mathematical Society (2003)
ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción American Mathematical Society, 2003. Estado de conservación: 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. . . . . . Nº de ref. de la librería V9780821833759

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Thomas A. Ivey; J. M. Landsberg
Editorial: Amer Mathematical Society (2003)
ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción Amer Mathematical Society, 2003. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M0821833758

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Thomas Ivey, Peter T. Landsberg
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Descripción Hardback. Estado de conservación: 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. Nº de ref. de la librería ria9780821833759_rkm

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Ivey, Thomas A., Landsberg, J. M.
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ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción Amer Mathematical Society, 2003. Hardcover. Estado de conservación: New. Never used!. Nº de ref. de la librería P110821833758

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Ivey, Thomas; Landsberg, P.T.
Editorial: American Mathematical Society
ISBN 10: 0821833758 ISBN 13: 9780821833759
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Descripción American Mathematical Society. Estado de conservación: 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. Nº de ref. de la librería V9780821833759

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