ENGLISH

The Theory of Error-Correcting Codes

By F.J. MacWilliams , N.J.A. Sloane

Book information

Publisher
North Holland Publishing Company
Year
1977
ISBN
0444850090, 9780444850096
ISSN
0924-6509
LCC
QA268 .M3
Google Books ID
LuomAQAAIAAJ
Open Library ID
OL4898426M
Language
english
Format
PDF
Filesize
20 MB (20827251 bytes)
Series
North-Holland Mathematical Library 16
Edition
1st
Pages
777\777
Orientation
yes
Scanned
yes
Time added
2012-02-04 16:00:00

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 - 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

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