Titlebook: Solving Problems in Scientific Computing Using Maple and MATLAB®; Walter Gander,Jiří Hřebíček Textbook 19973rd edition Springer-Verlag Ber

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The Spinning Top,In this chapter we will study the motion of a spinning top—the well known children’s toy. From the physical point of view we can represent it as a symmetric rigid rotor in a homogeneous gravitational field. Let . be the point at the tip of the top.

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Heat Flow Problems,The heat flow problems are a very important part of thermodynamics. The solution of these problems influences many other technical problems. The most important equation describing heat flow rules, is the heat equation (Fourier equation)

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Heat Capacity of System of Bose Particles,In this chapter we will study a system of Bose particles with nonzero mass, (for example He.), in low temperature near absolute zero, when an interesting effect of superfluidity, (or also superconductivity for electrons) appears.

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Trajectory of a Spinning Tennis Ball,s the direction of the axis of rotation and magnitude . = .(.)..(.), where .(.) is an angle of rotation). We will impose a Cartesian coordinates system (.) on the surface of the earth with the . axis directed vertically.

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The Illumination Problem,es of the lamps are (0, ..) and (s, h.) where . is the horizontal distance between the two light sources. Let . = (x, 0) be a point on the road somewhere between the two lights. In this chapter we will look for a point . which is minimally illuminated. In Figure 3.1 we have made a sketch of the situation we will refer to later in this chapter.

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Mirror Curves,int of the position of the first ball. Point . moves as we move point . along the boundary of the billiard cushion shape, (see Chapter 7, Figure 7.2). . traces a ., which depends on the change of the tangent line at point T. This mirror curve is dependent on the position of point . and the shape of the billiard cushion.