Item Details
Applied Mathematics for Science and Engineering [electronic resource]
Larry A. Glasgow, Department of Chemical Engineering, Kansas State University
 Format
 EBook; Book; Online
 Published
 Hoboken, New Jersey : Wiley, [2014]
 Language
 English
 ISBN
 9781118749920 (hardback)
 Summary
 "This book is designed to prepare students in the applied sciences and engineering for both analytic and numerical solutions of problems arising in postgraduate studies and in industrial practice. It includes examples and problems from biology, chemistry, and physics, as well as from most engineering disciplines and the presentation accommodates the learning styles of contemporary students"
 Contents
 Machine generated contents note: 1. Problem Formulation and Model Development 1 Introduction Algebraic Equations from VaporLiquid Equilibria (VLE) Macroscopic BalancesLumpedParameter Models Force BalancesNewton's Second Law of Motion Distributed Parameter modelsMicroscopic Balances A Contrast: Deterministic Models and Stochastic Processes Empiricisms and Data Interpretation Conclusion References Problems 2. Algebraic Equations 28 Introduction Elementary Methods Simultaneous Linear Algebraic Equations Simultaneous Nonlinear Algebraic Equations Algebraic Equations with Constraints Conclusion References Problems 3. Vectors and Tensors 64 Introduction Manipulation of Vectors Green's Theorem Stokes' Theorem Conclusion References Problems 4. Numerical Quadrature 90 Introduction Trapezoid Rule Simpson's Rule NewtonCotes Formulae Roundoff and Truncation Errors Romberg Integration Adaptive Integration Schemes Integrating Discrete Data Multiple Integrals (Cubature) Conclusion References Problems 5. Analytic Solution of Ordinary Differential Equations 126 An Introductory Example First Order Ordinary Differential Equations Nonlinear First Order Ordinary Differential Equations Higher Order Linear ODE's with Constant Coefficients Higher Order Equations with Variable Coefficients Bessel's Equation and Bessel Functions Power Series Solutions of ODE's Regular Perturbation Linearization Conclusion References Problems 6. Numerical Solution of Ordinary Differential Equations 176 An Illustrative Example The Euler Method RungeKutta Methods Simultaneous Ordinary Differential Equations Limitations of Fixed StepSize Algorithms Richardson Extrapolation Multistep Methods Split Boundary Conditions Finite Difference Methods Stiff Differential Equations BulirschStoer Method Phase Space Summary References Problems 7. Analytic Solution of Partial Differential Equations 222 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 CauchyRiemann Equation, Conformal Mapping, and Solutions for the Laplace Equation Conclusion References Problems 8. Numerical Solution of Partial Differential Equations 300 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 References Problems 9. IntegroDifferential Equations 370 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 References Problems 10. Time Series Data and the Fourier Transform 414 Introduction A 19th Century Idea The Autocorrelation Coefficient A Fourier Transform Pair The Fast Fourier Transform Smoothing Data by Filtering Modulation (Beats) Some Familiar Examples Conclusion and Some Final Thoughts References Problems 11. An Introduction to the Calculus of Variations and the Finite Element Method 461 Some Preliminaries Notation for the Calculus of Variations Brachistochrone Problem Other Examples A Contemporary COV Analysis of an Old Structural Problem Systems with Surface Tension The Connection Between COV and the Finite Element Method Conclusion References Problems .
 Description
 Mode of access: World wide Web.
 Notes
 Includes bibliographical references and index.
 Copyright & PermissionsRights statements and licenses provide information about copyright and reuse associated with individual items in the collection.
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LEADER 05507cam a2200385 i 4500001 u6697990003 SIRSI005 20171108061339.0006 m d007 cr n008 140514s2014 njua sb 001 0 eng da 2014008366a 9781118749920 (hardback)a (WaSeSS)ssj0001287635a DLC b eng c DLC d DLC d WaSeSSa pcca T57 b .G53 2014a 510 2 23a TEC009010 2 bisacsha Glasgow, Larry A., d 1950a Applied mathematics for science and engineering h [electronic resource] / c Larry A. Glasgow, Department of Chemical Engineering, Kansas State University.a Hoboken, New Jersey : b Wiley, c [2014]a Includes bibliographical references and index.a Machine generated contents note: 1. Problem Formulation and Model Development 1 Introduction Algebraic Equations from VaporLiquid Equilibria (VLE) Macroscopic BalancesLumpedParameter Models Force BalancesNewton's Second Law of Motion Distributed Parameter modelsMicroscopic Balances A Contrast: Deterministic Models and Stochastic Processes Empiricisms and Data Interpretation Conclusion References Problems 2. Algebraic Equations 28 Introduction Elementary Methods Simultaneous Linear Algebraic Equations Simultaneous Nonlinear Algebraic Equations Algebraic Equations with Constraints Conclusion References Problems 3. Vectors and Tensors 64 Introduction Manipulation of Vectors Green's Theorem Stokes' Theorem Conclusion References Problems 4. Numerical Quadrature 90 Introduction Trapezoid Rule Simpson's Rule NewtonCotes Formulae Roundoff and Truncation Errors Romberg Integration Adaptive Integration Schemes Integrating Discrete Data Multiple Integrals (Cubature) Conclusion References Problems 5. Analytic Solution of Ordinary Differential Equations 126 An Introductory Example First Order Ordinary Differential Equations Nonlinear First Order Ordinary Differential Equations Higher Order Linear ODE's with Constant Coefficients Higher Order Equations with Variable Coefficients Bessel's Equation and Bessel Functions Power Series Solutions of ODE's Regular Perturbation Linearization Conclusion References Problems 6. Numerical Solution of Ordinary Differential Equations 176 An Illustrative Example The Euler Method RungeKutta Methods Simultaneous Ordinary Differential Equations Limitations of Fixed StepSize Algorithms Richardson Extrapolation Multistep Methods Split Boundary Conditions Finite Difference Methods Stiff Differential Equations BulirschStoer Method Phase Space Summary References Problems 7. Analytic Solution of Partial Differential Equations 222 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 CauchyRiemann Equation, Conformal Mapping, and Solutions for the Laplace Equation Conclusion References Problems 8. Numerical Solution of Partial Differential Equations 300 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 References Problems 9. IntegroDifferential Equations 370 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 References Problems 10. Time Series Data and the Fourier Transform 414 Introduction A 19th Century Idea The Autocorrelation Coefficient A Fourier Transform Pair The Fast Fourier Transform Smoothing Data by Filtering Modulation (Beats) Some Familiar Examples Conclusion and Some Final Thoughts References Problems 11. An Introduction to the Calculus of Variations and the Finite Element Method 461 Some Preliminaries Notation for the Calculus of Variations Brachistochrone Problem Other Examples A Contemporary COV Analysis of an Old Structural Problem Systems with Surface Tension The Connection Between COV and the Finite Element Method Conclusion References Problems .a "This book is designed to prepare students in the applied sciences and engineering for both analytic and numerical solutions of problems arising in postgraduate studies and in industrial practice. It includes examples and problems from biology, chemistry, and physics, as well as from most engineering disciplines and the presentation accommodates the learning styles of contemporary students" c Provided by publisher.a Mode of access: World wide Web.a Engineering mathematics.a Technology x Mathematical models.a Electronic books.a Ebook Central  Academic Completea Wiley Online Library UBCM All Obooksi Online version: a Glasgow, Larry A., 1950 author. t Applied mathematics for science and engineering d Hoboken, New Jersey : John Wiley & Sons, 2014 z 9781118749760 w (DLC) 2014019351u http://RE5QY4SB7X.search.serialssolutions.com/?V=1.0&L=RE5QY4SB7X&S=JCs&C=TC0001287635&T=marca 1a XX(6697990.1) w WEB i 66979901001 l INTERNET m UVALIB t INTERNET