TY - DATA AU - Schmeding, A. TI - An introduction to infinite-dimensional differential geometry T2 - Cambridge studies in advanced mathematics SN - 9781009091251 AV - QA 613.6 S35A 2023 PY - 2023/// CY - Cambridge, United Kingdom ; New York, NY PB - Cambridge University Press KW - INFINITE-DIMENSIONAL MANIFOLDS KW - GEOMETRY, DIFFERENTIAL N1 - 1. Calculus in Locally Convex Spaces -- 2. Spaces and Manifolds of Smooth Maps -- 3. Lifting Geometry to Mapping Spaces I : Lie Groups -- 4. Lifting Geometry to Mapping Spaces II : (Weak) Riemannian Metrics -- 5. Weak Riemannian Metrics with Applications in Shape Analysis -- 6 - Connecting Finite-Dimensional, Infinite-Dimensional and Higher Geometry -- 7. Euler–Arnold Theory: PDEs via Geometry -- 8.The Geometry of Rough Paths UR - https://doi.org/10.1017/9781009091251 ER -