The textbook for Funcational Analysis provides not only solid mathematical foundations for the subject but, with many examples drawing from mechanics and science, motivates an engineering or science student to study the subject, and provides the necessary connections with applications.
The textbook for Funcational Analysis provides not only solid mathematical foundations for the subject but, with many examples drawing from mechanics and science, motivates an engineering or science student to study the subject, and provides the necessary connections with applications.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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 Académiques 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).
Inhaltsangabe
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
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
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