Computer Algebra Recipes: A Gourmet’s Guide to the Mathematical Models of Science (Undergraduate Texts in Contemporary Physics)

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9780387951485: Computer Algebra Recipes: A Gourmet’s Guide to the Mathematical Models of Science (Undergraduate Texts in Contemporary Physics)

Computer algebra systems allow students to work on mathematical models more efficiently than in the case of pencil and paper. The use of such systems also leads to fewer errors and enables students to work on complex and computationally intensive models. 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, and chemistry. The text includes a large number of Maple(R) recipes.

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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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"In the book, the authors are showing the reader what they can do with Maple 6, and they can do a lot. Simply flipping the pages of the book, the reader might get very inspired by the formulas and pictures. ...  Most of the text I covered up to now contains useful and exciting examples ... . the book is definitely very useful for educators ... ." (L. Kocbach, Computer Physics Communications, Vol. 144, 2002)

"This book captures the essence of the CAS approach and it is the best book of its kind that I am aware of. The level of mathematics, the eclectic, abundant and carefully selected problem set, the friendly and expansive text and the clear demonstration of the power of the CAS approach all add up to a first rate book. ... I highly recommend that you get your library to order a copy." (B.I. Henry, The Physicist, Vol. 39 (2), 2002)

"This book is a readable introduction to Maple, a computer algebra system. The authors present real life situations, describe them in the language of mathematics, and then use Maple to find or deduce conclusions, predictions and classifications of each of these situations." (Václav Koubek, Zentralblatt MATH, Vol. 976, 2002)

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Book Description Springer, 2001. Hardcover. Book Condition: New. 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 illustrationstrating 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. 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, deals with more advanced differential equation models. Bookseller Inventory # 279478

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