Oden, J. Tinsley 1936-,

Applied functional analysis / J. Tinsley Oden and Leszek Demkowicz. - Third edition. - 1 online resource

Includes bibliographical references.

chapter 1 Preliminaries / chapter 2 Linear Algebra / chapter 3 Lebesgue Measure and Integration / chapter 4 Topological and Metric Spaces / chapter 5 Banach Spaces / chapter 6 Hilbert Spaces / J. Tinsley Oden Leszek F. Demkowicz -- J. Tinsley Oden Leszek F. Demkowicz -- J. Tinsley Oden Leszek F. Demkowicz -- J. Tinsley Oden Leszek F. Demkowicz -- J. Tinsley Oden Leszek F. Demkowicz -- J. Tinsley Oden Leszek F. Demkowicz.

"Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces. The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory. The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements. "--Provided by publisher.

9781315119489 9781351632874 9781498761154

10.1201/9781315119489 doi


Functional analysis.
Topology.

QA320 / .O29 2017

515.7 / O236