Titlebook: Variational Calculus; Jean-Pierre Bourguignon Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Sp

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書目名稱Variational Calculus影響因子(影響力)




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ALIBI

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

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

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.

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喃喃而言

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.

輕彈

MELON

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

978-3-031-18309-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

馬賽克

Variational Calculus978-3-031-18307-2Series ISSN 1439-7382 Series E-ISSN 2196-9922