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 readera (TM)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. The
recipes are also included on the CD-ROM enclosed with the book.
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.
This text is the first of two volumes, the advanced guide, aimed
at junior/senior/graduate level students, dealing with more
advanced differential equation models.
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