Last edition Elsevier The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first volume focused on the formal conditions for systems of linear equations (in particular of linear differential equations) to have solutions, this book presents the approaches to finding solutions to polynomial equations and to systems of linear differential equations with varying coefficients. Field extensions, topology and topological vector spaces, functional spaces, and sheaves
Last Edition
ISBN 13: 9781785482496
Imprint: ISTEPELS
Language: English
Authors: Henri Bourles
Pub Date: 01/2018
Pages: 360
Illus: Illustrated
Weight: 700.000 grams
Size: 152 X 229 mm
Product Type: Hardcover
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| grn 6772 |
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- • In addition, the theory of sheaves is developed with application to the theory of distributions and the theory of hyperfunctions (assuming that the usual theory of functions of the complex variable is known). This volume is the prerequisite to the study of linear systems with time-varying coefficients from the point-of-view of algebraic analysis and the algebraic theory of nonlinear systems.
- • Present Galois Theory, transcendental field extensions, and Picard
- • Includes sections on Vessiot theory, differentially transcendental field extensions, topology, topological vector spaces, Radon measure, differential calculus in Banach spaces, sheaves, distributions, hyperfunctions, algebraic analysis, and local analysis of systems of linear differential equations
- Henri Bourles is Full Professor and Chair at the Conservatoire National des Arts et M?tiers, Paris, France.
- 1. Field Extensions and Differential Field Extensions
- 2. General Topology
- 3. Topological Vector Spaces
- 4. Measure and Integration, Function Spaces
- 5. Sheaves
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