Overview
- Each chapter is self-contained and can be read independently
- Content grew from a series of half-semester courses given at University of Oulu
- Contains material only previously published in scientific journals
- Useful to both students and researchers who have applications in mathematical physics and engineering sciences
- Includes supplementary material: sn.pub/extras
- Request lecturer material: sn.pub/lecturer-material
Part of the book series: Applied Mathematical Sciences (AMS, volume 197)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (46 chapters)
-
Operator Theory and Integral Equations
Keywords
About this book
This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts.
The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, servesas an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.Reviews
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Fourier Series, Fourier Transform and Their Applications to Mathematical Physics
Authors: Valery Serov
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-319-65262-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-65261-0Published: 18 December 2017
Softcover ISBN: 978-3-319-87985-7Published: 31 August 2018
eBook ISBN: 978-3-319-65262-7Published: 26 November 2017
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XI, 534
Number of Illustrations: 4 b/w illustrations
Topics: Fourier Analysis, Mathematical Physics, Partial Differential Equations