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.
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Fourier Analysis and Distributions
A First Course with Applications
Rolf Brigola
Stattdessen wird eine erweiterte Ausgabe in English erscheinen (März 2025)
“Fourier Analysis and Distributions, A First Course with Applications”, Springer Nature, Texts in Applied Mathematics 79
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Read Sample, layout slightly different from the printbook
Theoretische Grundlagen über Fourierreihen, Fouriertransformation, z-Transformation und Distributionen
Zahlreiche konkrete Anwendungsbeispiele für Theoretische Physik, Elektrotechnik, Systemtheorie und Signalverarbeitung: (270 S.)
Potentiale, Wellen, Wärmeleitung, FEM, DFT, DCT, trigonometrische Interpolation, Tschebyscheff-Polynome, numerische Integration nach Clenshaw-Curtis,
Lineare Differentialgleichungen mit konstanten Koeffizienten, Entwurf analoger und diskreter linearer Filter (Tiefpass, Hochpass, Bandpass, Bandsperre, FIR-, IIR-Filter),
z-Transformation, Abtasttheorem, Sampling und OFDM-Prinzip, Heisenbergsche Unschärferelation, Zeit-Frequenz-Analysis, Wavelets,Schrödinger Gleichung für das Wasserstoff-Atom
127 Übungsaufgaben mit Lösungen im Buch, 175 Abbildungen zur Veranschaulichung
