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The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study differentias equations, particularly those associated with the calculus of variations, in a modern geometric way. One of the themes of the book is that first-order jets may be considered as the natural generalisation of vector fields for studying variational problems in field theory, and so many of the constructions are introduced in the context of first- or second-order jets, before being described in their full generality. The book includes a proof of the local exactness of the variational bicomplex. A knowledge of differential geometry is assumed by the author, although introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used throughout, although coordinate representations are often used in proofs and when considering applications.

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1. Ebooks list page : 2923
2. 2017-12-11[PDF] The Geometry of Jet Bundles (London Mathematical Society Lecture Note Series)
3. 2020-05-01Lectures on the Theory of Water Waves (London Mathematical Society Lecture Note Series)
4. 2020-01-06Groups and Analysis; The Legacy of Hermann Weyl (London Mathematical Society Lecture Note Series)
5. 2018-01-06[PDF] Explicit Birational Geometry of 3-folds (London Mathematical Society Lecture Note Series)
6. 2017-12-15[PDF] Lectures on the Asymptotic Theory of Ideals (London Mathematical Society Lecture Note Series)
7. 2017-10-27[PDF] Lectures on the Theory of Water Waves (London Mathematical Society Lecture Note Series)
8. 2017-10-11[PDF] Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series)
9. 2012-01-10Lectures on the Combinatorics of Free Probability (London Mathematical Society Lecture Note Series) - Alexandru Nica
10. 2012-01-01The Topology of Stiefel Manifolds (London Mathematical Society Lecture Note Series)
11. 2011-12-31Lectures on the Combinatorics of Free Probability (London Mathematical Society Lecture Note Series) - Alexandru Nica
12. 2011-12-06Lectures on the Combinatorics of Free Probability (London Mathematical Society Lecture Note Series) - Alexandru Nica
13. 2011-11-27Transcendental Aspects of Algebraic Cycles: Proceedings of the Grenoble Summer School, 2001 (London Mathematical Society Lecture Note Series)
14. 2011-10-09Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series)
15. 2011-07-20Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series)
16. 2011-07-11Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series) by Manfred Stoll
17. 2008-12-24Groups and Analysis: The Legacy of Hermann Weyl (London Mathematical Society Lecture Note Series)
18. 2011-10-02The Geometry of Topological Stability (London Mathematical Society Monographs New Series)
19. 2010-01-18Vector Bundles in Algebraic Geometry (London Mathematical Society Lecture Note Series)
20. 2009-11-09[request]Topology, Geometry and Quantum Field Theory: Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal (London Mathematical Society Lecture Note Series)

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