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Author:   J. Tinsley Oden (University of Texas at Austin, USA) ,  Leszek Demkowicz (The University of Texas at Austin, USA)
Publisher:   Taylor & Francis Ltd
Imprint:   Chapman & Hall/CRC
Edition:   2nd New edition
Dimensions:   Width: 17.80cm , Height: 3.30cm , Length: 25.40cm
Weight:   1.225kg
ISBN:  

9781420091953

ISBN 10:   1420091956
Pages:   596
Publication Date:   05 March 2010
Audience:   College/higher education ,  Undergraduate
Replaced By:   9781498761147
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

Preliminaries Elementary Logic and Set Theory Relations Functions Cardinality of Sets Foundations of Abstract Algebra Elementary Topology in Rn Elements of Differential and Integral Calculus Linear Algebra Vector Spaces—The Basic Concepts Linear Transformations Algebraic Duals Euclidean Spaces Lebesgue Measure and Integration Lebesgue Measure Lebesgue Integration Theory Topological and Metric Spaces Elementary Topology Theory of Metric Spaces Banach Spaces Topological Vector Spaces Hahn–Banach Extension Theorem Bounded (Continuous) Linear Operators on Normed Spaces Closed Operators Topological Duals. Weak Compactness Closed Range Theorem. Solvability of Linear Equations Hilbert Spaces Basic Theory Duality in Hilbert Spaces Elements of Spectral Theory References

Reviews

The textbook is designed to drive a crash course for beginning graduate students majoring in something besides mathematics, introducing mathematical foundations that lead to classical results in functional analysis. More specifically, Oden and Demkowicz want to prepare students to learn the variational theory of partial differential equations, distributions, and Sobolev spaces and numerical analysis with an emphasis on finite element methods. The 1996 first edition has been used in a rather intensive two-semester course. --Book News, June 2010

Author Information

J. Tinsley Oden is the Director of the Institute for Computational Engineering and Sciences (ICES) and Associate Vice President for Research at The University of Texas at Austin. Dr. Oden is also a member of the US National Academy of Engineering and the recipient of the 2009 SIAM Distinguished Career Award. He holds five honorary doctorates and was knighted Chevalier de l'Ordre des Palmes Academiques by the French government. Leszek F. Demkowicz is the Assistant Director of ICES and a professor in the Department of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin. Dr. Demkowicz was one of the founding members of the Polish Association for Computational Mechanics (PACM), serving as its first president from 1991 to 1993. His recent research has been summarized in the two volumes Computing with hp-ADAPTIVE FINITE ELEMENTS (CRC Press, 2007 and 2008). For his work on hp methods, he was awarded the 2009 Zienkiewicz Medal by PACM and the 2009 Computational and Applied Sciences Award by the United States Association for Computational Mechanics (USACM).

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