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Description: |
xi, 205 pages : illustrations ; 25 cm |
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Bibliography Note: |
Includes bibliographical references and index. |
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Contents Note: |
Contents: Chapter 1. Fields, Spaces and States 1 -- 1.1. Concept of Fields and States 1 -- 1.2. Scalar, Vector and Tensor Fields 5 -- 1.3. Gradient, Divergence and Curl of a Field 6 -- 1.4. Translation, Rotation and Superposition of Fields 15 -- Chapter 2. Probability and Statistics 27 -- 2.1. Decisions Under Variability and Uncertainty 27 -- 2.2. Probability, Frequency, Confidence and Likelihood 29 -- 2.3. Long-Term Frequentist and Bayesian Conceptions 32 -- 2.4. Histograms and Probability Density Functions 35 -- 2.5. Special Probability Density Functions 41 -- 2.6. Correlation 46 -- 2.7. Parameter Estimation and Measures of Model Quality 49 -- 2.8. Error Propagation through Models 56 -- Chapter 3. Systems of Differential Equations 61 -- 3.1. A Systems View of the Environment 61 -- 3.2. Mass/Energy Balance and Conservation Laws 66 -- 3.3. Linear Differential Equations 69 -- 3.4. Systems of Differential Equations 71 -- 3.5. Applications of Bernoulli's Method 75 -- Chapter 4. Laplace Transforms and Coupled Differential Equations 95 -- 4.1. Coupled Systems and Feedback 95 -- 4.2. Transforms 97 -- 4.3. Laplace Transform 99 -- 4.4. Inverse Laplace Transform 101 -- 4.5. Applications of Laplace Transforms 102 -- 4.6. Some Additional Laplace Transforms 122 -- Chapter 5. Matrix Methods and Spectral Analysis 125 -- 5.1. Spectra in Environmental Problems 125 -- 5.2. Back-elimination 126 -- 5.3. Matrices 128 -- 5.4. Augmented Matrices and Gauss-Jordan Elimination 134 -- 5.5. Determinants Co-Factors, Minors and Inverses 136 -- 5.6. Applications 140 -- Chapter 6. Numerical Methods and Exposure-Response 147 -- 6.1. Exposure-Response Relationships 147 -- 6.2. Numerical Integration 152 -- 6.3. Numerical Solutions to Differential Equations: Euler's Method 157 -- 6.4. Numerical Solutions to Differential Equations: Runge-Kutta Methods 163 -- 6.5. Stella Modeling Software 167 -- Chapter 7. Monte Carlo Methods 175 -- 7.1. Decisions Under Variability and Uncertainty 175 -- 7.2. Analytic Methods 176 -- 7.3. Monte Carlo Methods 179 -- 7.4. Incorporating Model Uncertainty 187 -- 7.5. Variability Between Geographic Regions and Subpopulations 194 -- 7.6. Nested Variability and Uncertainty Analysis 196. |
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Terms of Use: |
British Library not licensed to copy 0. Uk |