Pessimistic
发表于 2025-3-21 18:11:20
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ALIBI
发表于 2025-3-21 21:56:34
Linearisation and Local Inversion of Differentiable MapsIn this chapterwe begin the developments in differential calculus which are necessary for the Calculus of Variations.We always work in real vector spaces. The key idea is that of . (one often speaks of ., a neologism which we have used in our title, not without reservations, and whose meaning we shall make explicit a little later).
intention
发表于 2025-3-22 00:24:11
Some Applications of Differential CalculusThere are several variants of the local inversion theorem, of which the most wellknown is the . presented in Sect. A. This form is actually very special, and its proof becomes a little artificial. Other versions of geometric interest can also be interpreted as linearisation theorems.
Consensus
发表于 2025-3-22 08:17:08
Regular Points and Critical Points of Numerical FunctionsThis chapter is devoted to the information which can be extracted from the differential of a numerical function defined on a configuration space. Many of the developments which it contains can be considered as duals of those of Chapter VI.
规范就好
发表于 2025-3-22 11:16:03
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喃喃而言
发表于 2025-3-22 15:37:25
The Hamiltonian ViewpointIn this chapter we present the . to variational problems which is, in a sense, . to the Lagrangian approach which was the subject of Chapter IX.
轻弹
发表于 2025-3-22 18:16:43
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MELON
发表于 2025-3-22 22:22:16
Jean-Pierre BourguignonGives a unique integrated presentation of algebraic, analytic and geometric tools.Provides a progressive introduction of concepts.Includes a wide variety of exercises and historical comments
ATRIA
发表于 2025-3-23 03:58:07
978-3-031-18309-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
马赛克
发表于 2025-3-23 05:46:46
Variational Calculus978-3-031-18307-2Series ISSN 1439-7382 Series E-ISSN 2196-9922