Titlebook: Advanced Mathematics for Engineers and Physicists; Sever Angel Popescu,Marilena Jianu Textbook 2022 The Editor(s) (if applicable) and The

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Kasseler Edition Soziale Arbeitf a homogeneous linear differential equation and the affine space of the solutions for the non-homogeneous case. Linear equations with constant coefficients are placed in the foreground, because in this case we have a closed-form solution for homogeneous equations, as well as for a wide class of non

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Kasseler Edition Soziale Arbeit case. Particular attention is paid to linear systems of differential equations and to the relation between a linear system of . equations and an .-th order linear equation. Autonomous systems are also studied, and, since first-order partial differential equations are closely related to autonomous s

PANT

Professionalisierungstheoretische Einbettungr series will be used in Chap. . to solve partial differential equations such as the wave equation, the heat equation, or the Laplace equation. General orthogonal systems of functions are also introduced.

FIN

https://doi.org/10.1007/978-3-658-24305-0 by periodicity to the entire axis). In this chapter, we introduce the Fourier transform, which generalizes this idea to the integral representation of non-periodic functions defined on the whole set of real numbers. We present the properties and some applications of the Fourier transform. Finally,

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Professionalisierungstheoretische Einbettungn Physics and Engineering. We begin by classifying these equations and introduce the characteristics method to find their canonical form. We present the solution of the one-dimensional and two-dimensional wave equation, the heat flow equation and the Dirichlet problem for Laplace’s equation.

ORBIT

Professionalisierungstheoretische Einbettung Engineering. We begin by stating several classical problems (such as: the brachistochrone problem, the minimal surface of revolution, Dido’s problem). Then we introduce the general frame of Calculus of Variation, focusing on necessary conditions of extremum of a functional. We deduce the basic diff

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Biografie als heuristische Grundlages like: P. Fermat, B. Pascal, J. Bernoulli, P. Laplace, C. F. Gauss, S. D. Poisson, P.L. Chebyshev, A. Markov, A. M. Lyapunov, E. Borel, A. N. Kolmogorov, P. Lévy. In this chapter we make an elementary introduction to probability theory. We present Laplace’s and Kolmogorov’s definitions of probabili

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