Introduction to mathematical methods for environmental engineers and scientists

✍ Scribed by Prochaska, Charles; Theodore, Louis

• Year: 2018
• Tongue: English
• Leaves: 476
• Category: Library

✦ Table of Contents

Content: Preface ix Part I: Introduction 1 1 Fundamentals and Principles of Numbers 3 2 Series Analysis 21 3 Graphical Analysis 29 4 Flow Diagrams 43 5 Dimensional Analysis 53 6 Economics 73 7 Problem Solving 89 Part II: Analytical Analysis 99 8 Analytical Geometry 101 9 Differentiation 115 10 Integration 121 11 Differential Calculus 133 12 Integral Calculus 147 13 Matrix Algebra 161 14 Laplace Transforms 173 Part III: Numerical Analysis 183 15 Trial-and-Error Solutions 185 16 Nonlinear Algebraic Equations 195 17 Simultaneous Linear Algebraic Equations 209 18 Differentiation 219 19 Integration 225 20 Ordinary Differential Equations 235 21 Partial Differential Equations 247 Part IV: Statistical Analysis 259 22 Basic Probability Concepts 261 23 Estimation of Mean and Variance 275 24 Discrete Probability Distribution 287 25 Continuous Probability Distribution 307 26 Fault Tree and Event Tree Analysis 343 27 Monte Carlo Simulation 357 28 Regression Analysis 371 Part V: Optimization 385 29 Introduction to Optimization 387 30 Perturbation Techniques 395 31 Search Methods 405 32 Graphical Analysis 419 33 Analytical Analysis 435 34 Introduction to Linear Programming 449 35 Linear Programming Applications 465

✦ Subjects

Environmental engineering -- Mathematical models.;Environmental sciences -- Mathematical models.