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QA611.5.SPR. FCT 94917 Open quantum systems III QA21.SPR. FCT 94918 A panorama of hungarian mathematics in the twentieth century I HB135.SPR. FCT 94919 Advances in mathematical economics QC20.SPR. FCT 94921 Computer algebra recipes QA279.5.SPR. FCT 94922 An introduction to bayesian analysis QA329.2.SPR. FCT 94923 A short course on operator semigroups QA221.SPR. FCT 94924 The history of approximation theory

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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.

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