Functions, Spaces, and Expansions Mathematical Tools in Physics and Engineering /

• Main Author: Christensen, Ole. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2010.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Functions, special.; Computer science.; Mathematical physics.; Engineering mathematics.; Functional Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Mathematical Methods in Physics.; Special Functions.; Fourier Analysis.; Computational Science and Engineering.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4980-7

This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although t...

Table of Contents:

• Preface
• Prologue
• Mathematical Background
• Normed Vector Spaces
• Banach Spaces
• Hilbert Spaces
• The L^p-spaces
• The Hilbert Space L^2
• The Fourier Transform
• An Introduction to Wavelet Analysis
• A Closer Look on Multiresolution Analysis
• B-splines
• Special Functions
• Appendix A
• Appendix B
• List of Symbols
• References
• Index.