Series: North-Holland Mathematical Library

Reference works in both pure and applied mathematics are published in this book series, providing comprehensive accounts of the state of the art of selected topics.
Introduction to Global Variational Geometry

Most recent volume


Volume 71. Introduction to Global Variational Geometry

Published: 1st October 2013 Editors: Demeter Krupka
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

Additional volumes


Volume 70. Approximation Theory

Published: 10th December 2013 Editors: Gunter Meinardus Guido Walz

Volume 69. Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains

Published: 12th January 2006 Editors: Michail Borsuk Vladimir Kondratiev

Volume 68. Initiation to Global Finslerian Geometry

Published: 18th January 2006 Editors: Hassan Akbar-Zadeh

Volume 67. Mathematical Inequalities

Published: 4th May 2005 Editors: B. Pachpatte

Volume 66. Stream Ciphers and Number Theory

Published: 17th February 2004 Editors: Thomas Cusick Cunsheng Ding Ari Renvall

Volume 65. Almost Free Modules

Published: 29th April 2002 Editors: P.C. Eklof A.H. Mekler

Volume 64. The Infinite-Dimensional Topology of Function Spaces

Published: 24th May 2002 Editors: J. van Mill

Volume 63. Codes on Euclidean Spheres

Published: 27th April 2001 Editors: T. Ericson V. Zinoviev

Volume 57. Power Geometry in Algebraic and Differential Equations

Published: 3rd August 2000 Editors: A.D. Bruno

Volume 56. Lie Algebras: Theory and Algorithms

Published: 4th February 2000 Editors: W.A. de Graaf

Volume 55. Stream Ciphers and Number Theory

Published: 20th April 1998 Editors: T.W. Cusick C. Ding Ari Renvall

Volume 54. Covering Codes

Published: 14th April 1997 Editors: G. Cohen I. Honkala S. Litsyn A. Lobstein

Volume 53. Inverse Spectra

Published: 29th March 1996 Editors: A. Chigogidze

Volume 52. Topological Theory of Dynamical Systems

Published: 3rd June 1994 Editors: N. Aoki K. Hiraide

Volume 51. Mathematical Approaches to Neural Networks

Published: 27th October 1993 Editors: J.G. Taylor

Volume 50. Theory of Convex Structures

Published: 2nd August 1993 Editors: M.L.J. van de Vel

Volume 49. Projective Differential Geometry of Submanifolds

Published: 30th June 1993 Editors: M.A. Akivis V.V. Goldberg

Volume 48. Dimension and Extensions

Published: 28th January 1993 Editors: J.M. Aarts T. Nishiura

Volume 46. Almost Free Modules

Published: 23rd April 1990 Editors: P.C. Eklof A.H. Mekler

Volume 45. Hypergraphs

Published: 4th August 1989 Editors: C. Berge

Volume 44. Unitary Representations and Harmonic Analysis

Published: 1st March 1990 Editors: M. Sugiura

Volume 43. Infinite-Dimensional Topology

Published: 1st December 1988 Editors: J. van Mill

Volume 42. Introduction to Operator Theory and Invariant Subspaces

Published: 1st October 1988 Editors: B. Beauzamy

Volume 41. Topics in General Topology

Published: 4th August 1989 Editors: K. Morita J.-I. Nagata

Volume 40. The Homology of Hopf Spaces

Published: 1st August 1988 Editors: R.M. Kane

Volume 39. Categories, Allegories

Published: 8th November 1990 Editors: P.J. Freyd A. Scedrov

Volume 38. Theory of Linear Operations

Published: 1st March 1987 Editors: S. Banach

Volume 37. Geometry of Numbers

Published: 1st May 1987 Editors: C.G. Lekkerkerker Pascale Gruber

Volume 36. A Mathematical Introduction to Dirac's Formalism

Published: 1st October 1986 Editors: S.J.L. van Eijndhoven J. de Graaf

Volume 35. Analysis on Real and Complex Manifolds

Published: 1st December 1985 Editors: R. Narasimhan

Volume 33. Modern General Topology

Published: 1st November 1985 Editors: J.-I. Nagata

Volume 32. Stochastic Analysis

Published: 1st October 1984 Editors: K. Itô

Volume 31. Elementary Theory of Numbers

Published: 1st February 1988 Editors: W. Sierpinski

Volume 30. Riesz Spaces II

Published: 1st May 1983 Editors: A.C. Zaanen

Volume 26. Shape Theory

Published: 1st January 1982 Editors: S. Mardešic J. Segal

Volume 24. Stochastic Differential Equations and Diffusion Processes

Published: 1st March 1992 Editors: N. Ikeda S. Watanabe

Volume 24. Stochastic Differential Equations and Diffusion Processes

Published: 1st January 1981 Editors: S. Watanabe N. Ikeda

Volume 23. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 22. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 21. Rings of Differential Operators

Published: 1st January 1979 Editors: J.-E. Björk

Volume 20. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 19. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 18. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 17. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 16. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 16. The Theory of Error-Correcting Codes

Published: 1st January 1983 Editors: F.J. MacWilliams N.J.A. Sloane

Volume 15. C*-Algebras

Published: 1st January 1977 Editors: J. Dixmier

Volume 14. Enveloping Algebras

Published: 10th February 2009 Editors: Diximier

Volume 13. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 12. Abstract analytic number theory

Published: 4th February 2009 Editors: Knopfmacher

Volume 11. Markov Chains

Published: 1st May 1984 Editors: D. Revuz

Volume 10. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 9. Comparison Theorems in Riemannian Geometry

Published: 15th January 2009 Editors: Cheeger

Volume 8. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 7. An Introduction to Complex Analysis in Several Variables

Published: 2nd January 1990 Editors: L. Hormander

Volume 7. An Introduction to Complex Analysis in Several Variables

Published: 12th February 1973 Editors: L. Hormander

Volume 6. Introduction to Global Variational Geometry

Published: 1st April 2000 Editors: Demeter Krupka

Volume 5. Algebra of Polynomials

Published: 1st April 2000 Editors: Author Unknown

Volume 4. Cubic Forms

Published: 1st February 1986 Editors: Yu.I. Manin

Volume 3. Locally Finite Groups

Published: 1st April 2000 Editors: Author Unknown

Volume 2. The Representation Theory of Finite Groups

Published: 1st May 1982 Editors: W. Feit

Volume 1. Riesz Spaces

Published: 1st April 2000 Editors: W.A.J. Luxemburg

Aspects of Mathematics and its Applications

Published: 1st January 1986 Editors: J.A. Barroso

Riesz Spaces I

Published: 1st January 1971 Editors: W.A.J. Luxemburg A.C. Zaanen