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This introductory text examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Discusses distribution theory, Green's functions, Banach spaces, Hilbert space, spectral theory, and variational techniques. Also outlines the ideas behind Frechet calculus, stability and bifurcation theory, and Sobolev spaces. 1985 edition. Includes 25 figures and 9 appendices. Supplementary problems. Indexes.
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This textbook studies distribution theory and Green's functions, Banach spaces and fixed point theorems, and operators in Hilbert spaces. Griffel (mathematics, University of Bristol, UK) supplies applications in fluid mechanics, approximation, and dynamical systems. This is an unabridged reprint of the 1985 revised edition published by Ellis Horwoo
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- PublisherDover Publications Inc
- Publication date2003
- ISBN 10 0486422585
- ISBN 13 9780486422589
- BindingPaperback
- Number of pages390
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Applied Functional Analysis
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Book Description Paperback. Condition: new. Paperback. A stimulating introductory text, this volume examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Detailed enough to impart a thorough understanding, the text is also sufficiently straightforward for those unfamiliar with abstract analysis. Its four-part treatment begins with distribution theory and discussions of Green's functions. Essentially independent of the preceding material, the second and third parts deal with Banach spaces, Hilbert space, spectral theory, and variational techniques. The final part outlines the ideas behind Frechet calculus, stability and bifurcation theory, and Sobolev spaces. 25 Figures. 9 Appendices. Supplementary Problems. Indexes. This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486422589
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