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Differential Equations By brian kolo
Hardcover: $25.00
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Differential equations play an important role in the physical sciences. This treatise introduces the standard techniques for finding solutions to these equations and explores orthogonal polynomials,... More > Green’s functions, and perturbation theory. These techniques form the basis of mathematical analysis used throughout the physical sciences. This book is suitable for an introductory course on differential equations for undergraduate students. Topics include first and second order differential equations, systems of differential equations, orthogonal polynomials, Green’s functions, perturbation theory, and analysis of nonlinear equations. These topics provide the foundation for understanding problems in the physical sciences for both graduate and undergraduate students.< Less
Generating Uniform and Non-Uniform Random Deviates By brian kolo & aaron winters
Hardcover: List Price: $35.50 $31.95 | You Save: 10%
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Applied science often examines physical situations that obey non-uniform statistical distributions. Many applications use the normal distribution as an approximation. However, in cases of simulating... More > behavior, the normal approximation may not be appropriate because a normally-distributed random variable may range from negative infinity to infinity. This wide range of values may represent unphysical situations and may lead to unpredictable behavior in a simulated environment. We examine the generation of random deviates according to both uniform and non-uniform probability distributions. A classification scheme for uniform random number generation is considered as well as an examination of the NIST suite of randomness testing. Techniques for generating non-uniform deviates are considered as well including change of variables, inverse distribution, the rejection method, tabular methods, and multivariate methods. Each of the methods is considered along with a number of examples of applying these techniques.< Less

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