Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Hardback)

Thomas Ivey, Peter T. Landsberg

Edité par American Mathematical Society, 2003
ISBN 10: 0821833758 / ISBN 13: 9780821833759
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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. N° de réf. du libraire

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Synopsis : 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.

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Titre : Cartan for Beginners: Differential Geometry ...
Éditeur : American Mathematical Society
Date d'édition : 2003
Reliure : Hardback
Etat du livre : New

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THOMAS A IVEY
ISBN 10 : 0821833758 ISBN 13 : 9780821833759
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Description du livre 2003. Soft cover. État : New. International Edition. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number & cover page may be different but contents identical to the US edition word by word. Book is in English language. N° de réf. du libraire UN-STOCK-UPIN-1468

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Thomas A. Ivey; J. M. Landsberg
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Description du livre American Mathematical Society, 2003. Hard Cover. État : Very Good. Etat de la jaquette : No DJ. Not ex-library book. 378 pages. Light rubbing and soiling of edges. Slightly bumped corners. Clean text, tight binding. Size: 4to - over 9¾" - 12" Tall. N° de réf. du libraire 027460

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Thomas A. Ivey; J. M. Landsberg
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Description du livre American Mathematical Society, 2003. Hardcover. État : New. Brand new. We distribute directly for the publisher. 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. N° de réf. du libraire 1007140025

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Ivey, Thomas A., Landsberg, J. M.
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Description du livre Amer Mathematical Society. État : As New. Volume 61. N° de réf. du libraire E19A-00190

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Landsberg, J. M., Ivey, Thomas A.
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Description du livre Amer Mathematical Society, 2003. Hardcover. État : Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. N° de réf. du libraire mon0000869694

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Thomas A. Ivey; J. M. Landsberg
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Ivey, Thomas A.; Landsberg, J. M.
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Description du livre Amer Mathematical Society, 2003. Hardcover. État : New. book. N° de réf. du libraire 0821833758

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Thomas A. Ivey, J. M. Landsberg
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Thomas A. Ivey
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Thomas Ivey, Peter T. Landsberg
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Description du livre American Mathematical Society, United States, 2003. Hardback. État : New. 256 x 180 mm. 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. N° de réf. du libraire AAZ9780821833759

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