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Hilbert Spaces by Gerard Meurant
Book DescriptionThis book has evolved from the lecture course on Functional Analysis I had given several times at the ETH. The text has a strict logical order, in the style of "Definition - Theorem - Proof - Example - Exercises . The proofs are rather thorough and there many examples. The first part of the book(the first three chapters, resp. the first two volumes) is devoted to the theory of Banach spaces in the most general sense of the term. The purpose of the first chapter (resp. first volume) is to introduce those results on Banach spaces which are used later or which are closely connected with the book. It therefore only contains a small part of the theory, and several results are stated (and proved) in a diluted form. The second chapter (which together with Chapter 3 makes the second volume) deals with Banach algebras (and involutive Banach algebras), which constitute the main topic of the first part of the book. The third chapter deals with compact operators on Banach spaces and linear (ordinary and partial) differential equations - applications of the, theory of Banach algebras.
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Book DetailsISBN: 9780444507525
(222mm x 156mm x 35mm)
Publisher: Elsevier Science & Technology
Publish Date: 1-Jul-2001
Country of Publication: United States
Books By Author Gerard Meurant
Matrices, Moments, and Quadrature with Applications, Hardback (November 2009)
Describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. This book provides the mathematical background and explains the theory.
Lanczos and Conjugate Gradient Algorithms, Paperback (August 2006)
The most comprehensive and up-to-date discussion available of the Lanczos and CG methods for computing eigenvalues and solving linear systems.
Infinite Dimensional Linear Control Systems, Hardback (July 2005)
Aims to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y(t) = Ay(t) + u(t) that ends at the very frontier of research. This work includes applications to optimal diffusion processes; applications to optimal heat propagation processes; and more.
Agenda Relevance, Hardback (May 2003)» View all books by Gerard Meurant
Identifies practical reasoning as reasoning performed with comparatively few cognitive assets, including resources such as information, time and computational capacity. This work is intended for researchers in logic, belief dynamics, computer science, AI, psychology and neuroscience, linguistics, argumentation theory, and other fields.
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