Introduction to Global Variational Geometry, Volume 16 (North-Holland Mathematical Library)

Krupka, Demeter

ISBN 10: 0444850104 / ISBN 13: 9780444850102

Edité par Elsevier Science, 1977

A propos de cet article

Very Good.

N° de réf. du vendeur D8S0-3-M-0444850104-3

Détails bibliographiques

• Titre: Introduction to Global Variational Geometry, Volume 16 (North-Holland Mathematical Library)
• Éditeur: Elsevier Science
• Date de parution: 1977
• Langue: anglais
• ISBN à 10 chiffres: 0444850104
• ISBN à 13 chiffres: 9780444850102
• Reliure: hardcover
• État de l'article: Very Good
• Type de livre: book

A propos de ce titre

Synopsis

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

Revue de presse

This work presents a unified account of all the mathematical techniques used to date. It is presented in an intelligible manner and is designed as both introductory textbook for the beginner and reference book for the expert engineer and mathematician. The book is divided into sections which can be used as a basis for an elementary course on coding theory for mathematicians, a second course for mathematicians, an elementary first course for engineers, and a second course for engineers. The remainder is directed towards the experts in the subject and is suitable for advanced courses and seminars. An abundance of problems is included, as well as a number of unsolved problems suitable for use in research projects as topics for study.
Engineering Societies Library
This text provides a thorough coverage of mathematical techniques applicable to this subject. The set can serve as a text for advanced students or as a reference work for the practitioner.
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