Titlebook: Analysis for Computer Scientists; Foundations, Methods Michael Oberguggenberger,Alexander Ostermann Textbook 2018Latest edition Springer Na

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乞讨

Digitale Lernwelten in der Hochschuletersections or even curves of fractal dimension. The aim of this chapter is to introduce the concept of parametrised curves and to study, in particular, the case of differentiable curves. For the visualisation of the trajectory of a curve, the notions of velocity vector, moving frame and curvature a

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从属

https://doi.org/10.1007/978-3-658-35059-8case of two variables. First we define vector fields in the plane and extend the notions of . and . to vector-valued functions. Then we discuss Newton’s method in two variables. As an application we compute a common zero of two nonlinear functions. Finally, as an extension of Sect. ., we show how sm

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COLIC

Elke Wailand,Claudia Müller-Kreinerems will be discussed in the next chapter. After presenting the general definition of a differential equation and the geometric significance of its direction field, we start with a detailed discussion of first-order linear equations. As important applications we discuss the modelling of growth and d

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Trigonometry, right-angled triangle and extend them periodically to . using the unit circle. Furthermore, we will discuss the inverse functions of the trigonometric functions in this chapter. As an application we will consider the transformation between Cartesian and polar coordinates.

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Applications of the Derivative,s of graphs. More precisely, we use the derivative to describe geometric properties like maxima, minima and monotonicity. Even though plotting functions with . or . is simple, understanding the connection with the derivative is important, for example, when a function with given properties is to be chosen from a particular class of functions.

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