Details

Introduction to Mathematical Methods for Environmental Engineers and Scientists


Introduction to Mathematical Methods for Environmental Engineers and Scientists


1. Aufl.

von: Charles Prochaska, Louis Theodore

150,99 €

Verlag: Wiley-Scrivener
Format: EPUB
Veröffentl.: 31.05.2018
ISBN/EAN: 9781119364146
Sprache: englisch
Anzahl Seiten: 498

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Beschreibungen

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
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
Charles Prochaska is a graduate student at Manhattan College pursuing a M.S. degree in chemical engineering. He is currently working in pre-clinical manufacturing process development at Regeneron Pharmaceuticals.Before exploring chemical engineering, Charles worked as a cosmetics chemist and procedure consultant for three years. Charles researched biomolecule-nanoparticle interactions for the Center for Functional Nanomaterials located in Brookhaven National Laboratory as well as novel DNA nanotag development at St. Joseph's College. Louis Theodore, MChE and EngScD, is a retired professor of chemical engineering (50 years). He is the author of several publications, including Fluid Flow for the Practicing Chemical Engineer, Thermodynamics for the Practicing Engineer, Mass Transfer Operations for the Practicing Engineer, and Air Pollution Control Equipment Calculations. Dr. Theodore is also a contributor to Perry's Chemical Engineers' Handbook.
The authors' aim is to offer the reader the fundamentals of numerous mathematical methods with accompanying practical environmental applications. The material in this book addresses mathematical calculations common to both the environmental science and engineering professionals. It provides the reader with nearly 100 solved illustrative examples and 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 5 parts: Introduction; Analytical Analysis; Numerical Analysis; Statistical Analysis; and Optimization. The analytical analysis includes graphical, trial-and-error, search, etc. methods. The numerical analysis includes integration, differentiation, differential equation, Monte Carlo, etc. The statistical analysis includes probability, probability distribution, decision trees, regression analysis, etc. Optimization includes both traditional approaches and linear programming. Audience This book serves two main audiences: As a reference book for practicing environmental engineers, environmental scientists, and technicians involved with the environment; it may also be used as a textbook for beginning environmental students.

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