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A Student's Guide to Waves


A Student's Guide to Waves

Author: Daniel Fleisch

language: en

Publisher: Cambridge University Press

Release Date: 2015-04-09


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Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

Introduction to Global Variational Geometry


Introduction to Global Variational Geometry

Author: Demeter Krupka

language: en

Publisher: Elsevier

Release Date: 2009-06-15


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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

Homological Dimensions of Modules


Homological Dimensions of Modules

Author: Barbara L. Osofsky

language: en

Publisher: American Mathematical Soc.

Release Date: 1973-12-31


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Features notes that were prepared for a series of ten lectures given at Regional Conference of the Conference Board of the Mathematical Sciences in June 1971. This title also includes a derivation of Tor, one step at a time without the usual derived functor machinery.