Advanced Mathematics and Mechanics Applications Using MATLAB illustrates the problem-solving capabilities of MATLAB in advanced engineering and the physical sciences. The book covers a wide range of numerical topics and discusses the algorithmic methods that can be used for their solution. The applications emphasize solutions of linear and nonlinear differential equations. Linear partial differential equations and linear matrix differential equations are analyzed using eigenfunctions and series solutions. Several other diverse topics, such as conformal mapping, heat conduction, and inertial property calculation for areas, are also included.
The text has numerous sample programs that can be used to solve complicated applied problems. The programs have extensive comments and are intended for separate study without additional reference. Many of the programs presented in the text treat applications not presented in traditional texts, e.g., spline computation of inertia properties of arbitrary areas. Additionally, all the programs are contained on a diskette accompanying the book. This diskette is organized with directories corresponding to different chapters, and a group of frequently used functions-such as those for spline interpolation and interactive data input-comprises a separate utility library.
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Since its introduction in 1984, MATLAB's ever-growing popularity and functionality have secured its position as an industry-standard software package. The user-friendly, interactive environment of MATLAB 6.x, which includes a high-level programming language, versatile graphics capabilities, and abundance of intrinsic functions, helps users focus on their applications rather than on programming errors. MATLAB has now leapt far ahead of FORTRAN as the software of choice for engineering applications.
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