Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
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Published by Cambridge University Press, Cambridge, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
Language: English
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Hardcover. Condition: new. Hardcover. Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak Riemannian geometry, exploring their connections to manifolds of (smooth) mappings. Topics covered include diffeomorphism groups, loop groups and Riemannian metrics for shape analysis. Numerous examples highlight both surprising connections between finite- and infinite-dimensional geometry, and challenges occurring solely in infinite dimensions. The geometric techniques developed are then showcased in modern applications of geometry such as geometric hydrodynamics, higher geometry in the guise of Lie groupoids, and rough path theory. With plentiful exercises, some with solutions, and worked examples, this will be indispensable for graduate students and researchers working at the intersection of functional analysis, non-linear differential equations and differential geometry. This title is also available as Open Access on Cambridge Core. This text introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, exploring modern applications. Emphasising connections to finite-dimensional geometry, it is accessible to graduate students, as well as researchers wishing to learn about the subject. Also available as Open Access on Cambridge Core. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
Language: English
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Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
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Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
Language: English
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Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
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Published by Cambridge University Press, 2022
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Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
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Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
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Published by Cambridge University Press, 2022
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Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
Language: English
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Published by Cambridge University Press, Cambridge, 2022
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Add to basketHardcover. Condition: new. Hardcover. Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak Riemannian geometry, exploring their connections to manifolds of (smooth) mappings. Topics covered include diffeomorphism groups, loop groups and Riemannian metrics for shape analysis. Numerous examples highlight both surprising connections between finite- and infinite-dimensional geometry, and challenges occurring solely in infinite dimensions. The geometric techniques developed are then showcased in modern applications of geometry such as geometric hydrodynamics, higher geometry in the guise of Lie groupoids, and rough path theory. With plentiful exercises, some with solutions, and worked examples, this will be indispensable for graduate students and researchers working at the intersection of functional analysis, non-linear differential equations and differential geometry. This title is also available as Open Access on Cambridge Core. This text introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, exploring modern applications. Emphasising connections to finite-dimensional geometry, it is accessible to graduate students, as well as researchers wishing to learn about the subject. Also available as Open Access on Cambridge Core. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Published by Cambridge University Press, Cambridge, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
Language: English
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Add to basketHardcover. Condition: new. Hardcover. Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak Riemannian geometry, exploring their connections to manifolds of (smooth) mappings. Topics covered include diffeomorphism groups, loop groups and Riemannian metrics for shape analysis. Numerous examples highlight both surprising connections between finite- and infinite-dimensional geometry, and challenges occurring solely in infinite dimensions. The geometric techniques developed are then showcased in modern applications of geometry such as geometric hydrodynamics, higher geometry in the guise of Lie groupoids, and rough path theory. With plentiful exercises, some with solutions, and worked examples, this will be indispensable for graduate students and researchers working at the intersection of functional analysis, non-linear differential equations and differential geometry. This title is also available as Open Access on Cambridge Core. This text introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, exploring modern applications. Emphasising connections to finite-dimensional geometry, it is accessible to graduate students, as well as researchers wishing to learn about the subject. Also available as Open Access on Cambridge Core. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
Language: English
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Add to basketHardcover. Condition: Brand New. 280 pages. 9.00x6.00x0.75 inches. In Stock.
Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
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Add to basketHardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 570.
Published by Cambridge University Press, 2022
ISBN 10: 1316514889 ISBN 13: 9781316514887
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Über den AutorAlexander Schmeding is Associate Professor in Mathematics at Nord University at Levanger.Inhaltsverzeichnis1. Calculus in locally convex spaces 2. Spaces and manifolds of smooth maps 3. Li.