Fourth, Expanded and Revised Edition 2004, 500 pages Modern computing tools like Maple (a symbolic computation package) and MatLAB (a numeric and symbolic computation and visualization program) make it possible to use the techniques of scientific computing to solve realistic nontrivial problems in a classroom setting. These problems have been traditionally avoided, since the amount of work required to obtain a solution exceeded the classroom time available and the capabilities of the students. Therefore, simplified and linearized models are often used. This situation has changed, and students can be taught with real-life problems which can be solved by the powerful software tools available. This book is a collection of interesting problems which illustrate some solution techniques in Scientific Computing. The solution technique for each problem is discussed and demonstrated through the use of either Maple or MatLAB. The problems are presented in a way such that a reader can easily extend the techniques to even more difficult problems. This book is intended for students of engineering and scientific computing. It is not an introduction to Maple and MatLAB. Instead, it teaches problem solving techniques through the use of examples, which are difficult real-life problems. Please review the Maple and MatLAB documentation for questions on how to use the software.
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Springer, 2014. — 905 p. 133 illus., 53 illus. in color. — (Texts in Computational Science and Engineering, Vol. 11). — ISBN: 9783319043258 Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic...
Springer, 2011. - 370 pages. ISBN: 3709105161 The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations,...
Second Edition. — Springer, 2009. — 483 p. The first book to compare the main two computer algebra systems (CAS), Maple and Mathematica used by students, mathematicians, scientists, and engineers. Both systems are presented in parallel so that Mathematica users can learn Maple quickly by finding the Maple equivalent to Mathematica functions, and vice versa. This student...
Artech House Publishers, 2009. - 406 pages.
MAPLE is easy-to-use software that performs numerical and symbolic analysis to solve complex mathematical problems. A reference for engineers, scientists, and application developers, it shows you how to tap the full power of MAPLE in solving real-world engineering problems in circuit theory, control theory, curve fitting, mechanics...
Методические указания. — Новокузнецк: СибГИУ, 2012. — 39 с. В работе рассмотрены приемы и методы построения различных графиков в пакете компьютерной математики Maple. Основное внимание уделено построению графиков, которые требуется строить при решении задач дисциплины «Математика».