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An Introduction To Infinitedimensional Differential Geometry Alexander Schmeding

Name: An Introduction To Infinitedimensional Differential Geometry Alexander Schmeding
SKU: BELL-47379394
Price: 31.00 USD
Availability: InStock
Rating: 4.7 (106 reviews)

SKU: BELL-47379394

$ 31.00 ~~$ 45.00~~ (-31%)

4.7

106 reviews

An Introduction To Infinitedimensional Differential Geometry Alexander Schmeding instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 1.93 MB

Pages: 284

Author: Alexander Schmeding

ISBN: 9781009091251, 9781316514887, 1009091255, 1316514889

Language: English

Year: 2023

Product desciption

An Introduction To Infinitedimensional Differential Geometry Alexander Schmeding by Alexander Schmeding 9781009091251, 9781316514887, 1009091255, 1316514889 instant download after payment.

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.