The theory of numbers
Author(s)
Bibliographic Information
The theory of numbers
(North-Holland mathematical library, v. 8)
North-Holland Pub. Co. , American Elsevier Pub. Co., 1975
- : North-Holland
- : American Elsevier
- Other Title
-
数論
Sūron
Available at / 42 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: North-HollandIYA||1||2(I)2289738
-
University of Toyama Library, Central Library図
: North-Holland412.92||Iy||Th90077593,90077594,
: American Elsevier412.9||Iy90063400,90063401, 412.92||Iy||Th00061247 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: North-Hollanddc19:512.8/iy92020969075
-
No Libraries matched.
- Remove all filters.
Note
Bibliography: p. 519-535
Includes index
Description and Table of Contents
Description
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
Table of Contents
Tentative Table of Contents:PrefaceList of Standard SymbolsChapter 1: Smooth ManifoldsChapter 2: Analysis on ManifoldsChapter 3: Lie Transformation GroupsChapter 4: Lagrange StructuresChapter 5: Elementary Sheaf TheoryChapter 6: Variational Sequences on Fibered ManifoldsChapter 7: Invariant Variational Functionals on Principal BundlesChapter 8: Differential Invariants Chapter 9: Natural Variational Principles AppendicesBibliographyIndex
by "Nielsen BookData"