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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Theodore, Louis. Introduction to Mathematical Methods for Environmental Engineers and Scientists. Newark : John Wiley & Sons, Incorporated, ©2018 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Louis Theodore; Charles Prochaska |

ISBN: | 9781119364146 1119364140 9781119364153 1119364159 |

OCLC Number: | 1039697875 |

Notes: | 15.5 Other Approaches. |

Description: | 1 online resource (501 pages) |

Contents: | Intro; Title page; Copyright page; Dedication; Preface; Part I: Introductory Principles; Chapter 1: Fundamentals and Principles of Numbers; 1.1 Interpolation and Extrapolation; 1.2 Significant Figures and Approximate Numbers [1]; 1.3 Errors; 1.4 Propagation of Errors; Chapter 2: Series Analysis; 2.1 Other Infinite Series; 2.2 Tests for Convergence and Divergence [2]; 2.3 Infinite Series Equations; References; Chapter 3: Graphical Analysis; 3.1 Rectangular Coordinates; 3.2 Logarithmic-Logarithmic (Log-Log) Coordinates; 3.3 Semilogarithmic (Semi-Log) Coordinates; 3.4 Other Graphical Coordinates. Chapter 7: Problem Solving7.1 Sources of Information [1]; 7.2 Generic Problem-Solving Techniques [6]; 7.3 An Approach; 7.4 Some General Concerns; Part II: Analytical Analysis; Chapter 8: Analytical Geometry; 8.1 Rectangular Coordinates; 8.2 Cylindrical Coordinates; 8.3 Spherical Coordinates; 8.4 Key Physical Equations; 8.5 Applications; Chapter 9: Differentiation; 9.1 Graphical Methods; 9.2 Finite Differences; Chapter 10: Integration; 10.1 Graphical Integration; 10.2 The Rectangle Method [5]; 10.3 The Method of Rectangles; 10.4 The Method of Trapezoids. 10.5 Rayleigh Equation for Simple Batch (Differential) DistillationReferences; Chapter 11: Differential Calculus; 11.1 Differential Operations; 11.2 Ordinary Differential Equations; 11.3 Partial Differential Equations; 11.4 Maxima and Minima; References; Chapter 12: Integral Calculus; 12.1 Analytical integration; 12.2 Indefinite Integrals; 12.3 Definite Integrals; 12.4 Integration Applications; References; Chapter 13: Matrix Algebra [1]; 13.1 Definitions; 13.2 Rules for Determinants and Matricies; 13.3 Rank and Solution of Linear Equations; 13.4 Linear Equations; References. Chapter 14: Laplace Transforms14.1 Laplace Transform Theorems; 14.2 Laplace Transforms of Specific Functions; 14.3 Splitting Proper Rational Fractions into Partial Fractions; 14.4 Converting An Ordinary Differential Equation (ODE) Into An Algebraic Equation; 14.5 Converting a Partial Differential Equation (PDE) into an Ordinary Differential Equation (ODE); References; Part III: Numerical Analysis; Chapter 15: Trial-and-Error Solutions; 15.1 Square Root Calculations; 15.2 Quadratic and Cubic Equations; 15.3 Two or More Simultaneous Non-Linear Equations; 15.4 Higher Order Algebraic Equations. |

### Abstract:

The material in this book attempts to address mathematical calculations common to both the environmental science and engineering professionals. The book provides the reader with nearly 100 solved illustrative examples. The interrelationship between both theory and applications is emphasized in nearly all of the 35 chapters. One key feature of this book is that the solutions to the problems are presented in a stand-alone manner. Throughout the book, the illustrative examples are laid out in such a way as to develop the reader's technical understanding of the subject in question, with more difficult examples located at or near the end of each set. In presenting the text material, the authors have stressed the pragmatic approach in the application of mathematical tools to assist the reader in grasping the role of mathematical skills in environmental problem-solving situations. The book is divided up into five (V) parts: -Introduction -Analytical Analysis -Numerical Analysis -Statistical Analysis Optimization.