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Introduction to mathematical methods for environmental engineers and scientists / By Charles Prochaska and Louis Theodore.
- Format:
- Book
- Author/Creator:
- Prochaska., author.
- Theodore, Louis,., author.
- Language:
- English
- Subjects (All):
- Environmental engineering--Mathematical models.
- Environmental engineering.
- Environmental sciences--Mathematical models.
- Environmental sciences.
- Physical Description:
- 1 online resource (501 pages)
- Place of Publication:
- Hoboken, NJ : John Wiley & Sons ; Beverly, MA : Scrivener Publishing, 2018.
- Summary:
- 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.
- Contents:
- Fundamentals and principles of numbers
- Series analysis
- Graphical analysis
- Flow diagrams
- Dimensional analysis
- Economics
- Problem solving
- Analytical geometry
- Differentiation
- Integration
- Differential calculus
- Integral calculus
- Matrix algebra
- Laplace transforms
- Trial-and-error solutions
- Nonlinear algebraic equations
- Simultaneous linear algebraic equations
- Ordinary differential equations
- Partial differential equations
- Basic probability concepts
- Estimation of mean and variance
- Discrete probability distribution
- Continuous probability distribution
- Fault tree and event tree analysis
- Monte carlo simulation
- Regression analysis
- Introduction to optimization
- Perturbation techniques
- Search methods
- Analytical analysis
- Introduction to linear programming
- Linear programming applications.
- Notes:
- Includes index.
- Description based on print version record.
- ISBN:
- 9781119364146
- 1119364140
- 9781119364184
- 1119364183
- 9781119364153
- 1119364159
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