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Elsevier Science

Introduction to Global Variational Geometry
1st Edition
Volume 22
Demeter Krupka
English
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
Introduction to the Theory of Finite Automata
1st Edition
Volume 38
Lev D. Beklemishev
English
Provability, Computability and Reflection
1st Edition
Volume 29
Lev D. Beklemishev
English
The Metamathematics of Algebraic Systems
1st Edition
Volume 66
Lev D. Beklemishev
English
Introduction to Global Variational Geometry
1st Edition
Volume 183
Demeter Krupka
English
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
Provability, Computability and Reflection
1st Edition
Volume 22
Lev D. Beklemishev
English
Provability, Computability and Reflection
1st Edition
Volume 3
Lev D. Beklemishev
English
Continuation of the Notas de Matemàtica
1st Edition
Volume 177
Demeter Krupka
English
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
Languages with Expressions of Infinite Length
1st Edition
Volume 36
Lev D. Beklemishev
English
Proof Theory
1st Edition
Volume 81
Lev D. Beklemishev
English

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