Title Statements
- Full title :Variational Calculus.
Edition Statements
- Publication Date:©2022.
Publication Statements
- Publisher(s):Springer International Publishing AG
- Place of Publication:Cham
- Language:eng
- Publication Date:©2022.
The Physical Object
- Description:1 online resource (284 pages).
Edition Identifiers
- ISBN:9783031183072, 303118307X
- oclc:on1355234344
- LC Classification:QA641-670
Table of Contents
Intro -- Editor's Preface -- Preface -- Preface to the English Edition -- To the Reader -- Contents -- Part I THE ANALYTIC SETTING -- Chapter I A First Generalisation of the Notion of Space: Spaces of Infinite Dimension -- A. A First Encounter with Infinite-Dimensional Vector Spaces -- B. A Useful Special Case: Normed Spaces -- C. Compact Spaces -- D. Looking For Compact Sets -- E. Historical Notes -- Chapter II Banach Spaces and Hilbert Spaces -- A. Cauchy Sequences and Complete Metric Spaces -- B. A Fundamental Category: Banach Spaces -- C. Dual Space and Weak Topology -- D. Bilinear Forms and Duality -- E. Hilbert Spaces: Fundamental Properties -- F. Hilbert Bases -- G. Historical Notes -- Chapter III Linearisation and Local Inversion of Differentiable Maps -- A. Differentiable Maps and Their Tangent Linear Maps -- B. The Chain Rule -- C. The Local Inversion Theorem -- D. Derivatives of Higher Order -- E. Historical Notes -- Part II THE GEOMETRIC SETTING -- Chapter IV Some Applications of Differential Calculus -- A. Geometric Variants of The Local Inversion Theorem -- B. Vector Fields and Ordinary Differential Equations -- C. Some Examples of Vector Fields -- D. Poisson Bracket…
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