Computer Algebra Recipes
An Introductory Guide to the Mathematical Models of Science
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Beschreibung
Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models.
Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation.
The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe.
This text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models.
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 (Version 10). No prior knowledge of MAPLE is assumed. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. 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, with each section of recipes followed by a set of problems. The book may also be used for self-study and may form the basis of an on-line course.
Effective computational science text for first- and second-year undergraduates in mathematics, physics, engineering, chemistry, economics, biology, and pre-medicine Examples and problems provide basis for both self-study and on-line course No prior knowledge of MAPLE is assumed
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Richard H. Enns
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From the reviews:"Computer Algebra Recipes . . . is an eclectic collection of application stories together with associated Maple computer algebra worksheets or recipes. . . . The authors have designed this book to show how a computer algebra system such as Maple can be a valuable tool for computer modeling. . . . Any student who works through this text will develop a very good sense of what mathematical modeling is about. . . . This text would work well for self-study or as a source of material for projects." (Bill Satzer, MathDL – Online, April, 2006)"All given algorithms have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. …. Moreover, each section of recipes is followed by a set of problems that reader can use to check their understanding. … Therefore, this handbook is appropriate for any junior/senior level course in Modern Algebra, Abstract Algebra, Algebraic Structures." (Jerzy Martyna, Zentralblatt MATH, Vol. 1106 (8), 2007)"The authors … aim is to introduce the reader to what they call ‘the ‘new’ computational science based on the utilization of a CAS [computer algebra system].’ … I … enjoyed reading this book and I learned a lot of Maple as I went through the worksheets. … a text in a course that equips undergraduates to analyze and solve problems with a CAS. … the book might be described as a tutorial on Maple that is based on mathematical models." (L. F. Shampine, SIAM Review, Vol. 49 (1), 2007)
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