FOURIER series. Theory and exam exercises on Fourier series - Salvo Romeo - World Latest Movie, Series, Videos and Trailers | fetery.com

FOURIER series. Theory and exam exercises on Fourier series

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Salvo Romeo

Published on Dec 12, 2023

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FOURIER series development and convergence of the Fourier series. Chapters 00:00 Introduction to the Fourier series 04:25 Trigonometric series and Fourier coefficients 09:38 Generally continuous functions 11:40 Generally monotone functions 12:21 Generally regular functions 14:40 Dirichlet criteria 18:35 Exercises solved Fourier series Nb: To better understand this lesson, it is advisable for the student to have clear concepts of the graph of a function, derivability and above all to have practical experience in solving simple integrals of one-variable functions. Concepts that have been acquired in the course of mathematical analysis 1. In many scientific disciplines we often have to deal with periodic processes such as acoustic and electromagnetic vibrations. In this lesson we will illustrate the problems of writing a periodic function as a sum of sinusoidal functions called a trigonometric series. The main problems are: Given a periodic function, we ask ourselves if it is possible to write it as the sum of a trigonometric series. When this is possible, how can we obtain the Fourier coefficients? The first question, although very important, is difficult and impractical to discuss in a web lesson, and we will limit ourselves to determining both the coefficients of the trigonometric series and to discussing the convergence of the trigonometric series itself at various points on the real axis. This lesson is composed of a first descriptive part, and the second part was dedicated to solving four different and non-repetitive exercises, typical of exam tasks. #salvoromeo #fourier #seriefourier

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