Computer Algebra Recipes
Springer-Verlag New York Inc.
978-1-4612-6533-7 (ISBN)
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. 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.
From the contents:
Introduction:
0.1. Computer Algebra Systems. 0.2. The Spiral Staircase to Learning. 0.3. How to Climb the Spiral Staircase.-
I. THE APPETIZERS:
1. The Pictures of Science:
1.1. Introduction.
1.2. Data and Function Plots:
1.2.1. Correcting for Inflation; 1.2.2. The Plummeting Badminton Bird; 1.2.3. Minimizing the Travel Time.
1.3. Log-log (Power Law) Plots:
1.3.1. Chimpanzee Brain Size; 1.3.2. Scaling Arguments and Gulliver's Travels.
1.4. Contour and Gradient Plots:
1.4.1. The Secret Message; 1.4.2. Designing a Ski Hill.
1.5. Animated Plots:
1.5.1. Waves are Dynamic; 1.5.2. The Sands of Time.
2. Deriving Model Equations:
2.1. Introduction.
2.2. Linear Correlation:
2.2.1. What is Linear Correlation? 2.2.2. The Corn Palace. 2.3. Lease Squares Derivation of Model Equations: 2.3.1. Regression Analysis; 2.3.2. Will You Be Better Off Than Your Parents? 2.3.3. What was the Heart Rate of a Brachiosaurus? 2.3.4. Senate Renewal; 2.3.5. Bikini Sales and the Logistic Curve; 2.3.6 Following the Dow Jones Index; 2.3.7. Variation of 'g' with Latitude; 2.3.8. Finding Romeo a Juliet.
2.4. Deriving Multiple Regression.
Reihe/Serie | Undergraduate Texts in Contemporary Physics |
---|---|
Zusatzinfo | XIV, 778 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 178 x 235 mm |
Themenwelt | Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik |
Mathematik / Informatik ► Mathematik ► Algebra | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Naturwissenschaften ► Physik / Astronomie | |
ISBN-10 | 1-4612-6533-9 / 1461265339 |
ISBN-13 | 978-1-4612-6533-7 / 9781461265337 |
Zustand | Neuware |
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