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Practical Numerical and Scientific Computing with MATLAB (R) and Python (Hardcover)
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Practical Numerical and Scientific Computing with MATLAB (R) and Python (Hardcover)
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Practical Numerical and Scientific Computing with MATLAB (R) and
Python concentrates on the practical aspects of numerical analysis
and linear and non-linear programming. It discusses the methods for
solving different types of mathematical problems using MATLAB and
Python. Although the book focuses on the approximation problem
rather than on error analysis of mathematical problems, it provides
practical ways to calculate errors. The book is divided into three
parts, covering topics in numerical linear algebra, methods of
interpolation, numerical differentiation and integration, solutions
of differential equations, linear and non-linear programming
problems, and optimal control problems. This book has the following
advantages: It adopts the programming languages, MATLAB and Python,
which are widely used among academics, scientists, and engineers,
for ease of use and contain many libraries covering many scientific
and engineering fields. It contains topics that are rarely found in
other numerical analysis books, such as ill-conditioned linear
systems and methods of regularization to stabilize their solutions,
nonstandard finite differences methods for solutions of ordinary
differential equations, and the computations of the optimal
controls. It provides a practical explanation of how to apply these
topics using MATLAB and Python. It discusses software libraries to
solve mathematical problems, such as software Gekko, pulp, and
pyomo. These libraries use Python for solutions to differential
equations and static and dynamic optimization problems. Most
programs in the book can be applied in versions prior to MATLAB
2017b and Python 3.7.4 without the need to modify these programs.
This book is aimed at newcomers and middle-level students, as well
as members of the scientific community who are interested in
solving math problems using MATLAB or Python.
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