Fourier-Analysis with Mathematica 1 and 2
Learning Fourier Series and Fourier Transforms by Examples
Rolf Brigola
Order Vol. 1 via Amazon as printbook or Vol. 2 as printbook
ebooks in pdf format are also available
READ SAMPLE Vol. 1 and READ SAMPLE VOL. 2
These booklets in English have their focus on showing how theoretical results on Fourier series and Fourier transforms can be applied in applications and examples
with the help of the computeralgebra system Mathematica.
Thus, no proofs of used theorems and properties are given in the text. Instead, it is demonstrated how to comprehend properties and applications of Fourier Series and Transforms
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 texts incorporate insights from many years of lectures delivered to students of applied mathematics, physics, electrical engineering, and communications engineering
at Technische Hochschule Nürnberg Georg Simon Ohm, starting in their second semester.
Fourier Analysis and Distributions
A First Course with Applications
Rolf Brigola
Stattdessen gibt es eine erweiterte Ausgabe in English (April 2025)
“Fourier Analysis and Distributions, A First Course with Applications”, Springer Nature, Texts in Applied Mathematics 79
Bestellung über Amazon
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
