Fourier Transforms Using Mathematica
Seiten
2021
SPIE Press (Verlag)
978-1-5106-3855-6 (ISBN)
SPIE Press (Verlag)
978-1-5106-3855-6 (ISBN)
Introduces the reader to the properties of Fourier transforms and their uses, and introduces the program Mathematica, and demonstrates its use in Fourier analysis. Unlike many other introductory treatments of the Fourier transform, this treatment will focus from the start on both one-dimensional and two-dimensional transforms.
The Fourier transform is a ubiquitous tool used in most areas of engineering and physical sciences. The purpose of this book is two-fold: (1) to introduce the reader to the properties of Fourier transforms and their uses, and (2) to introduce the reader to the program Mathematica® and demonstrate its use in Fourier analysis. Unlike many other introductory treatments of the Fourier transform, this treatment will focus from the start on both one-dimensional and two-dimensional transforms, the latter of which play an important role in optics and digital image processing, as well as in many other applications. It is hoped that by the time readers have completed this book, they will have a basic understanding of Fourier analysis and Mathematica.
The Fourier transform is a ubiquitous tool used in most areas of engineering and physical sciences. The purpose of this book is two-fold: (1) to introduce the reader to the properties of Fourier transforms and their uses, and (2) to introduce the reader to the program Mathematica® and demonstrate its use in Fourier analysis. Unlike many other introductory treatments of the Fourier transform, this treatment will focus from the start on both one-dimensional and two-dimensional transforms, the latter of which play an important role in optics and digital image processing, as well as in many other applications. It is hoped that by the time readers have completed this book, they will have a basic understanding of Fourier analysis and Mathematica.
Introduction
Some Useful 1D and 2D Functions
Definition of the Continuous Fourier Transform
Convolutions and Correlations
Some Useful Properties of Fourier Transforms
Fourier Transforms in Polar Coordinates
Linear Systems and Fourier Transforms
Sampling and Interpolation
From Fourier Transforms to Fourier Series
The Discrete Fourier Transforms
The Fresnel Transform
Fractional Fourier Transforms
Other Transforms Related to the Fourier Transform
Fourier Transforms and Digital Image Processing with Mathematica®
Fourier Transforms and Mathematica® in Coherent Optical Systems
| Erscheinungsdatum | 12.11.2020 |
|---|---|
| Reihe/Serie | Press Monographs |
| Verlagsort | Bellingham |
| Sprache | englisch |
| Gewicht | 286 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Technik | |
| ISBN-10 | 1-5106-3855-5 / 1510638555 |
| ISBN-13 | 978-1-5106-3855-6 / 9781510638556 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Festigkeits- und Verformungslehre, Baudynamik, Wärmeübertragung, …
Buch | Hardcover (2025)
De Gruyter Oldenbourg (Verlag)
CHF 125,90
