Book description
Prepare students for success in using applied mathematics for engineering practice and postgraduate studies
moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques
Uses different examples from chemical, civil, mechanical and various other engineering fields
Based on a decade's worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers
Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters
Table of contents
 Title page
 Copyright page
 Preface

1: Problem Formulation and Model Development
 Introduction
 Algebraic Equations from Vapor–Liquid Equilibria (VLE)
 Macroscopic Balances: LumpedParameter Models
 Force Balances: Newton's Second Law of Motion
 Distributed Parameter Models: Microscopic Balances
 A Contrast: Deterministic Models and Stochastic Processes
 Empiricisms and Data Interpretation
 Conclusion
 Problems
 References
 2: Algebraic Equations
 3: Vectors and Tensors
 4: Numerical Quadrature

5: Analytic Solution of Ordinary Differential Equations
 An Introductory Example
 FirstOrder Ordinary Differential Equations
 Nonlinear FirstOrder Ordinary Differential Equations
 HigherOrder Linear ODEs with Constant Coefficients
 HigherOrder Equations with Variable Coefficients
 Bessel's Equation and Bessel Functions
 Power Series Solutions of Ordinary Differential Equations
 Regular Perturbation
 Linearization
 Conclusion
 Problems
 References

6: Numerical Solution of Ordinary Differential Equations
 An Illustrative Example
 The Euler Method
 Runge–Kutta Methods
 Simultaneous Ordinary Differential Equations
 Limitations of Fixed StepSize Algorithms
 Richardson Extrapolation
 Multistep Methods
 Split Boundary Conditions
 FiniteDifference Methods
 Stiff Differential Equations
 Bulirsch–Stoer Method
 Phase Space
 Summary
 Problems
 References

7: Analytic Solution of Partial Differential Equations
 Introduction
 Classification of Partial Differential Equations and Boundary Conditions
 Fourier Series
 The Product Method (Separation of Variables)
 Applications of the Laplace Transform
 Approximate Solution Techniques
 The Cauchy–Riemann Equations, Conformal Mapping, and Solutions for the Laplace Equation
 Conclusion
 Problems
 References

8: Numerical Solution of Partial Differential Equations
 Introduction
 Elliptic Partial Differential Equations
 Parabolic Partial Differential Equations
 Hyperbolic Partial Differential Equations
 Elementary Problems with Convective Transport
 A Numerical Procedure for TwoDimensional Viscous Flow Problems
 MacCormack's Method
 Adaptive Grids
 Conclusion
 Problems
 References

9: IntegroDifferential Equations
 Introduction
 An Example of ThreeMode Control
 Population Problems with Hereditary Influences
 An Elementary Solution Strategy
 VIM: The Variational Iteration Method
 IntegroDifferential Equations and the Spread of Infectious Disease
 Examples Drawn from Population Balances
 Conclusion
 Problems
 References
 10: TimeSeries Data and the Fourier Transform
 11: An Introduction to the Calculus of Variations and the FiniteElement Method
 Index
 End User License Agreement
Product information
 Title: Applied Mathematics for Science and Engineering
 Author(s):
 Release date: September 2014
 Publisher(s): Wiley
 ISBN: 9781118749920
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