Series:

North-Holland Mathematical Library

10 primary works

Book 6

Cover of Graphs and Hypergraphs

Graphs and Hypergraphs

by Ferrett and Demeter Krupka

Published 30 June 2014

Book 8

Cover of The Theory of Numbers

Book 10

Cover of Discrete-Parameter Martingales

Book 13

Cover of Nonarchimedean Fields and Asymptotic Expansions

Book 16

Cover of The Theory of Error Correcting Codes

Book 18

Cover of Interpolation Theory, Function Spaces, Differential Operators

Book 20

Cover of Operator Ideals

Operator Ideals

by A Pietsch and Demeter Krupka

Published 14 May 2014

Book 22

Cover of Combinational, Algebraic and Topological Representations of Groups, Semigroups and Categories

Book 23

Cover of Dirichlet Forms and Markov Processes

Book 71

Cover of Introduction to Global Variational Geometry
The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geometry, physical field theory and higher-order fibered mechanics. The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections of a fibred space, the (global) first variational formula in infinitesimal and integral forms- extremal conditions and the discussion of Noether symmetries and generalizations,- the inverse problems of the calculus of variations of Helmholtz type- variational sequence theory and its consequences for the global inverse problem (cohomology conditions)- examples of variational functionals of mathematical physics. Complete formulations and proofs of all basic assertions are given, based on theorems of global analysis explained in the Appendix.