Beschreibung:
Advanced Mathematics and Mechanics Applications Using MATLAB, Third Edition features extensive revisions that bring this best-selling text in line with MATLAB 6.x, especially its graphics and animation capabilities. It incorporates material on time dependent solutions of linear partial differential equations, a chapter on eigenvalue problems, and more than 300 pages of MATLAB solutions to important applications. The authors provide an abundance of additional physical examples related to heat conduction, inviscid fluid flow, geometrical properties, stress analysis, and multi-dimensional optimizations. The source code for all of the programs presented is freely available for download from the CRC Web site.
Introduction. Elementary Aspects of MATLAB Graphics. Summary of Concepts From Linear Algebra. Methods for Interpolation and Numerical Differentiation. Gaussian Integration with Applications to Geometric Properties. Fourier Series and the Fast Fourier Transform. Dynamic Response of Linear Second Order Systems. Integration of Nonlinear Initial Value Problems. Boundary Value Problems for Linear Partial Differential Equations. Eigenvalue Problems and Applications. Bending Analysis of Beams of General Cross Section. Applications of Analytic Functions. Nonlinear Optimization Applications. Appendices.