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 - First book on the geometric foundations of Lagrange structures- New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity- Basic structures and tools: global analysis, smooth manifolds, fibred spaces

This book provides a comprehensive introduction to modern global variational theory on fibred spaces

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

View all volumes in this series: North-Holland Mathematical Library. This book provides a comprehensive introduction to modern global variational theory on fibred spaces. Demeter Krupka Author. Affiliations and Expertise

View all volumes in this series: North-Holland Mathematical Library. 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. Affiliations and Expertise. Palacky University, Department of Algebra and Geometry, Olomouc, Czech Republic.

Series: North-Holland Mathematical Library (Book 7). Hardcover: 268 pages

Series: North-Holland Mathematical Library (Book 7). Hardcover: 268 pages. I had my introductory to several complex variables out of this book taught by one of the fathers of modern complex algebraic geometry, W. L. Chow (Chow’s Theorem, Chow’s coordinates, et. back in the early 1970’s. Chow became one of mentors and thesis advisor. I later asked him in one our long conversations into the wee hours why he used Hörmander’s book as a basis instead of Gunning and Rossi.

Finding books BookSee BookSee - Download books for free. Variations, Geometry and Physics: In Honour of Demeter Krupka's Sixty-fifth Birthday. Introduction to Global Variational Geometry, Volume 18 (North-Holland Mathematical Library). Olga Krupková, David Saunders. 1. 3 Mb. Introduction to Global Variational Geometry, Volume 20. Demeter Krupka. Category: M Mathematics, MC Calculus, MCf Functional analysis. 2 Mb. The theory of error correcting codes.

North-Holland Mathematical Library. This is a comprehensive introduction to modern global variational theory on fibred spaces. Initiation to Global Finslerian Geometry: Volume 68. Hassan Akbar-zadeh. By (author) Demeter Krupka.

This book provides a comprehensive introduction to modern global variational theory on fibred . North-Holland Mathematical Library. Topological Algebras.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. First book on the geometric foundations of Lagrange structures - New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity - Basic structures and tools: global analysis, smooth manifolds, fibred spaces. After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. Elsevier Science and Technology. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures.

Demeter Krupka - Introduction to Global Variational Geometry, Volume 18 (North-Holland Mathematical Library)

Demeter Krupka - Introduction to Global Variational Geometry, Volume 18 (North-Holland Mathematical Library). Demeter Krupka, Olga Krupkova, Jan Slovak, Oldrich Kowalski - Differential Geometry and its Applications: Proceedings of the 10th International Conference Dga 2007 Olomouc, Czech Republic 27-31 August 2007. Demeter Krupka, Olga Krupkova, Jan Slovak, Oldrich Kowalski.

North-Holland Mathematical. LibrarySmrd of Aduisory Edi&rs: M. Artin, H. Bass,J . Bass,J Variational problems in geometry. Introduction to Algebraic Geometry Introduction to algebraic geometry Introduction to geometry. Introduction to Algebraic Geometry.

Krupka, Demeter (2000), Introduction to Global Variational Geometry, North-Holland Mathematical Library, 13, Elsevier, p. 8, ISBN 9780080954202.