Generalized classical mechanics and field theory : a geometrical approach of Lagrangian and Hamiltonian formalisms involving higher order derivatives

書誌事項

Generalized classical mechanics and field theory : a geometrical approach of Lagrangian and Hamiltonian formalisms involving higher order derivatives

Manuel De León and Paulo R. Rodrigues

(North-Holland mathematics studies, 112)(Notas de matemática)

North-Holland, 1985

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注記

Includes references and indexes

内容説明・目次

内容説明

The aim of this book is to discuss the present situation of Lagrangian and Hamiltonian formalisms involving higher order derivatives. The achievements of differential geometry in formulating a more modern and powerful treatment of these theories is described and an extensive review of the development of these theories in classical language is also given.

目次

Chapters: I. The Differential Geometry of Higher Order Jets and Tangent Bundles. II. Generalized Classical Mechanics. III. Generalized Field Theory. Appendices.

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