As an author I recommend my books on Fourier Analysis and invite you to read them and learn from them. Below you can find Read Samples.
101 Graphical Illustrations with Mathematica
This booklet in English has its focus on showing how theoretical results on Fourier series can be applied in applications and examples
with the help of the computeralgebra system Mathematica. Thus, no proofs of used theorems and properties of Fourier series are given
in the text. Instead, it is demonstrated how to comprehend properties and applications of Fourier series with the help of Mathematica, which frees us from time-consuming own calculations and gives us the opportunity to understand the subject matter with clear illustrations.
The text incorporates insights from many years of lectures delivered to students of applied mathematics, physics, electrical engineering, and communications engineering at the Technische Hochschule Nürnberg Georg Simon Ohm, starting in their second semester.
Order via Amazon as printbook or as ebook (pdf format)
Fourier-Analysis with Mathematica 1
Learning Fourier Series by Examples
Rolf Brigola
101 Graphical Illustrations with Mathematica
This booklet in English has its focus on showing how theoretical results on Fourier series can be applied in applications and examples
with the help of the computeralgebra system Mathematica. Thus, no proofs of used theorems and properties of Fourier series are given
in the text. Instead, it is demonstrated how to comprehend properties and applications of Fourier series with the help of Mathematica, which frees us from time-consuming own calculations and gives us the opportunity to understand the subject matter with clear illustrations.
The text incorporates insights from many years of lectures delivered to students of applied mathematics, physics, electrical engineering, and communications engineering at the Technische Hochschule Nürnberg Georg Simon Ohm, starting in their second semester.
Order via Amazon as printbook or as ebook (pdf format)
Fourier Analysis and Distributions
A First Course with Applications
Rolf Brigola
The German edition is out of print. Only a few remaining copies are available in stores.
Instead, an expanded edition in English will be published (March 2025)
“Fourier Analysis and Distributions, A First Course with Applications”, Springer Nature, Texts in Applied Mathematics 79
( Remaining copies of the German edition )
Order Springer edition in English via Amazon
Instead, an expanded edition in English will be published (March 2025)
“Fourier Analysis and Distributions, A First Course with Applications”, Springer Nature, Texts in Applied Mathematics 79
( Remaining copies of the German edition )
Order Springer edition in English via Amazon
Theoretical basics on Fourier series, Fourier transform, z-Transform and Distributions
Numerous application examples for theoretical physics, electrical engineering, system theory and signal processing
Potentials, Waves, Heat propagation, FEM, DFT, DCT, trigonometric Interpolation, Chebychev polynomials, numerical Integration after Clenshaw-Curtis,
Linear Differential Equations with Constant Coefficients, analog und discrete linear Filters (Lowpass, Highpass, Bandpasss, Bandstop, FIR-, IIR-Filter),
z-Transform, Sampling theorem, Sampling and the Principle of OFDM, Heisenberg’s Uncertainty Relation, Time-Frequency Analysis, Wavelets, Hydrogen Atom
127 Exercises with solutions, 175 Figures with Illustrations
Fraunhofer Diffraction at a Rectangle, a Circular Wave, Typical WLAN Spectrum, Potentials of Two Charges, Shape of a Hybridized Water Molecule