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Computer algebra systems have revolutionized the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays. This self-contained text is organized along a spiral, revisiting the general topics of graphics, symbolic computation, and numerical simulation in greater detail and more depth at each turn of the spiral. The heart of this text is a large number of computer algebra worksheets or recipes that have been designed using MAPLE not only to provide tools for problem solving, but also to stimulate the readers imagination. No prior knowledge of MAPLE is assumed. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. A scientific model or method is associated with each recipe, along with an interesting or amusing story to help maintain the readers interest. All recipes are included on the CD-ROM enclosed with the book. Aimed at first- and second-year science and engineering undergraduates, the presentation is driven by examples from a variety of disciplines to appeal to students in mathematics, physics, engineering, chemistry, economics, biology, and pre-medicine. The spiral design allows the book to be effectively used as a computational science text: each section of recipes is followed by a set of problems that readers can use to check their understanding or to develop the topic further. Computer Algebra Recipes: An Introductory Guide to Mathematical Modeling may also be used for self-study and may form the basis of an on-line course.
