Einführung in die Analysis
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Rolf Walter
This textbook covers basic themes such as sequences, convergence, metric spaces, complex numbers as well as differentiability and integral calculus of functions of one variable. It contains numerous exercises and graphical illustrations.
Analysis 2 first covers the differentiability of functions of several variables and important applications for instance problems of minimization. Also the term of integration of functions with several variables based on the Lebesgue Integral is discussed in detail. It includes then supplementary chapters on Lebesgue spaces and the basics of topology as well as numerous exercises and graphical illustrations.
This textbook for the basic lecture course of the same name deals with selected topics of multidimensional analysis. It is also an introduction to the theory of ordinary differential equations and the Fourier theory, of importance in the application of image processing and acoustics.
