Overview
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. 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.
Full Product Details
Author: Richard Enns ,
George C. McGuire
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Dimensions:
Width: 17.80cm
, Height: 4.20cm
, Length: 25.40cm
Weight: 1.674kg
ISBN: 9780387951485
ISBN 10: 0387951482
Pages: 778
Publication Date: 08 June 2001
Audience:
College/higher education
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
From Reviews of the Enns/McGuire's Nonlinear Physics with Maple for Scientists and Engineers: Its organisation of subject matter, clarity of writing, and smooth integration of analytic and computational techniques put it among the very best... -COMPUTERS IN PHYSICS An...excellent book...the authors have been able to cover an extraordinary range of topics... -AMERICAN JOURNAL OF PHYSICS
From the reviews: 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. ! There are indeed many interesting short programs, or rather short scripts, discussed (and included on a CD-ROM) ! . 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. The CD-ROM programs are delightfully easy to navigate, modify and learn from too. 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. (Vaclav Koubek, Zentralblatt MATH, Vol. 976, 2002)
"From the reviews: ""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."" (Vaclav Koubek, Zentralblatt MATH, Vol. 976, 2002)"
