Home Mathematica in Action: Problem Solving Through Visualization and Computation [With CDROM] by Stan Wagon (ISBN: 9780387753669)

Stock Photo: Cover May Be Different

Mathematica in Action: Problem Solving Through Visualization and Computation [With CDROM] Paperback - 2010

Name: Mathematica® in Action: Problem Solving Through Visualization and Computation
Price: 14.27 USD
Availability: InStock
Author: Stan Wagon
ISBN: 9780387753669

by Stan Wagon

Browse more copies for sale ↓

From the publisher

This book is an example-based introduction to techniques, from elementary to advanced, of using Mathematica, a revolutionary tool for mathematical computation and exploration. By integrating the basic functions of mathematics with a powerful and easy-to-use programming language, Mathematica allows us to carry out projects that would be extremely laborious in traditional programming environments. And the new developments that began with version 6 -- allowing the user to dyna- cally manipulate output using sliders or other controls -- add amazing power to the interface. Animations have always been part of Mathematica, but the new design allows the manipulation of any number of variables, an important enhancement. Mathematica in Action illustrates this power by using demonstrations and ani- tions, three-dimensional graphics, high-precision number theory computations, and sophisticated geometric and symbolic programming to attack a diverse collection of problems.. It is my hope that this book will serve a mathematical purpose as well, and I have interspersed several unusual or complicated examples among others that will be more familiar. Thus the reader may have to deal simultaneously with new mat- matics and new Mathematica techniques. Rarely is more than undergraduate mathematics required, however. An underlying theme of the book is that a computational way of looking at a mathematical problem or result yields many benefits. For example: Well-chosen computations can shed light on familiar relations and reveal new patterns. One is forced to think very precisely; gaps in understanding must be eliminated if a program is to work.

From the rear cover

In this third edition of Mathematica(R) in Action, award-winning author Stan Wagon guides beginner and veteran users alike through Mathematica's powerful tools for mathematical exploration. The transition to Mathematica 7 is made smooth with plenty of examples and case studies that utilize Mathematica's newest tools, such as dynamic manipulations and adaptive three-dimensional plotting. Mathematica in Action also emphasizes the breadth of Mathematica and the impressive results of combining techniques from different areas. This material enables the reader to use Mathematica to solve a variety of complex problems. Case studies ranging from elementary to sophisticated are provided throughout. Whenever possible, the book shows how Mathematica can be used to discover new things. Striking examples include the design of a road on which a square wheel bike can ride, the design of a drill that can drill square holes, an illustration of the Banach--Tarski Paradox via hyperbolic geometry, new and surprising formulas for p, the discovery of shadow orbits for chaotic systems, and the use of powerful new capabilities for three-dimensional graphics. Visualization is emphasized throughout, with finely crafted graphics in each chapter.

Wagon is the author of eleven books on mathematics, including A Course in Computational Number Theory, named one of the ten best math books of 2000 by the American Library Association. He has written extensively on the educational applications of Mathematica, including the books VisualDSolve: Visualizing Differential Equations with Mathematica, and Animating Calculus: Mathematica Notebooks for the Laboratory. From reviews of the second edition:

"In a dazzling range of examples Stan Wagon shows how such features as animation, 3-dimensional graphics and high-precision integer arithmetic can contribute to our understanding and enjoyment of mathematics."
--Richard Walker, The Mathematical Gazette "The bottom line is that Mathematica in Action is an outstanding book containing many examples of real uses of Mathematica for the novice, intermediate, and expert user."
--Mark McClure, Mathematica in Education and Research

Details

Title Mathematica in Action: Problem Solving Through Visualization and Computation [With CDROM]
Author Stan Wagon
Binding Paperback
Edition 3rd ed. 2010
Pages 580
Volumes 1
Language ENG
Publisher Springer
Date 2010-06-11
Illustrated Yes
ISBN 9780387753669 / 0387753664
Weight 3.05 lbs (1.38 kg)
Dimensions 10.9 x 8.2 x 1.3 in (27.69 x 20.83 x 3.30 cm)
Library of Congress Catalog Number 2010928640
Dewey Decimal Code 510.285