Computer Algebra Recipes
A Gourmet's Guide to the Mathematical Models of Science
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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:
1.2. 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:
2.2. 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.
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