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Computer Algebra Recipes

其他書名	A Gourmet’s Guide to the Mathematical Models of Science
出版	Springer Science & Business Media, 2001-06-08
主題	Mathematics / Algebra / GeneralMathematics / AppliedComputers / Data ProcessingScience / Physics / GeneralComputers / Intelligence (AI) & SemanticsMathematics / Discrete Mathematics
ISBN	03879514829780387951485
URL	http://books.google.com.hk/books?id=aUn8K5tERusC&hl=&source=gbs_api
EBook	SAMPLE

註釋Computer algebra systems have the potential to revolutionize the teaching of and learning of science. Not only can students work thorough mathematical models much more efficiently and with fewer errors than with pencil and paper, they can also work with much more complex and computationally intensive models. Thus, for example, in studying the flight of a golf ball, students can begin with the simple parabolic trajectory, but then add the effects of lift and drag, of winds, and of spin. Not only can the program provide analytic solutions in some cases, it can also produce numerical solutions and graphic displays.
Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, chemistry. The text is organized along a spiral, revisiting general topics such as graphics, symbolic computation, and numerical simulation in greater detail and more depth at each turn of the spiral.
The heart of the text is a large number of computer algebra recipes. 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 a story that leads the reader through steps of the recipe. 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.