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An Introduction to Infinite-Dimensional Differential Geometry: 202 (Cambridge Studies in Advanced Mathematics, Series Number 202) - Hardcover
Synopsis
Introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, showcasing its modern applications.
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About the Author
Alexander Schmeding is Associate Professor in Mathematics at Nord University at Levanger.
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Introduction to Infinite-Dimensional Differential Geometry
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Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
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An Introduction to Infinite-Dimensional Differential Geometry (Cambridge Studies in Advanced Mathematics, Series Number 202)
Published by
Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
New
Hardcover
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An Introduction to Infinite-Dimensional Differential Geometry
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Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
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An Introduction to Infinite-Dimensional Differential Geometry (Hardcover)
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Cambridge University Press, Cambridge, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
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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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781316514887
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Introduction to Infinite-Dimensional Differential Geometry
Published by
Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
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Hardcover
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An Introduction to Infinite-Dimensional Differential Geometry
Published by
Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
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Hardcover. Condition: Brand New. 280 pages. 9.00x6.00x0.75 inches. In Stock. This item is printed on demand. Seller Inventory # __1316514889
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An Introduction to Infinite-Dimensional Differential Geometry (Cambridge Studies in Advanced Mathematics, Series Number 202)
Published by
Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
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Hardcover
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Introduction to Infinite-Dimensional Differential Geometry
Published by
Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
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Hardcover
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Introduction to Infinite-Dimensional Differential Geometry
Published by
Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
Used
Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 44573483
Quantity: Over 20 available
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An Introduction to Infinite-Dimensional Differential Geometry
Published by
Cambridge University Press, 2022
ISBN 10: 1316514889
ISBN 13: 9781316514887
New
Hardcover
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Hardcover. Condition: Brand New. 280 pages. 9.00x6.00x0.75 inches. In Stock. Seller Inventory # x-1316514889
Quantity: 2 available