Appendix A: Basics of Functional Analysis
Published Online: 30 NOV 2005
Copyright © 2006 John Wiley & Sons, Inc. All rights reserved.
Partial Differential Equations and the Finite Element Method
How to Cite
Šolín, P. (2005) Appendix A: Basics of Functional Analysis, in Partial Differential Equations and the Finite Element Method, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471764108.app1
- Published Online: 30 NOV 2005
- Published Print: 4 NOV 2005
Print ISBN: 9780471720706
Online ISBN: 9780471764106
Appendix A provides a course in elementary functional analysis required for the study of modern partial differential equations and finite element methods. Covered are the most important facts, techniques and theorems in finite- and infinite-dimensional linear spaces, normed spaces, Banach spaces, Lebesgue spaces, inner product spaces, Hilbert spaces and Sobolev spaces. Prerequisites for this course have been reduced to a minimum of real analysis and linear (matrix) algebra, so that it can be taught to students of engineering, physics and other non-mathematical majors. The chapter contains many illustrating examples.