000			05304cam a2200325 i 4500
999			_c87 _d87
001			18151088
003			OSt
005			20200817105822.0
008			140514s2014 njua b 001 0 eng
010			_a 2014008366
020			_a9781118749920 (hardback)
040			_aDLC _beng _cDLC _erda _dDLC
042			_apcc
050	0	0	_aT57 _b.G53 2014
082	0	0	_a510 _223 _bGl Ap
084			_aTEC009010 _2bisacsh
100	1		_aGlasgow, Larry A., _d1950- _eauthor. _9333
245	1	0	_aApplied mathematics for science and engineering / _cLarry A. Glasgow, Department of Chemical Engineering, Kansas State University.
260			_aHoboken, New Jersey : _bWiley, _c2014.
300			_aviii, 248 pages : _billustrations ; _c29 cm
504			_aIncludes bibliographical references and index.
505	8		_aMachine generated contents note: 1. Problem Formulation and Model Development 1 Introduction Algebraic Equations from Vapor-Liquid Equilibria (VLE) Macroscopic Balances--Lumped-Parameter 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 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 Newton-Cotes 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 Runge-Kutta Methods Simultaneous Ordinary Differential Equations Limitations of Fixed Step-Size Algorithms Richardson Extrapolation Multistep Methods Split Boundary Conditions Finite Difference Methods Stiff Differential Equations Bulirsch-Stoer 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 Cauchy-Riemann 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 Two-Dimensional Viscous Flow Problems MacCormack's Method Adaptive Grids Conclusion References Problems 9. Integro-Differential Equations 370 Introduction An Example of Three-Mode Control Population Problems with Hereditary Influences An Elementary Solution Strategy VIM: The Variational Iteration Method Integro-Differential 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 .
520			_a"This book is designed to prepare students in the applied sciences and engineering for both analytic and numerical solutions of problems arising in post-graduate 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"-- _cProvided by publisher.
650		0	_aEngineering mathematics. _9334
650		0	_aTechnology _xMathematical models. _9335
650		7	_aTECHNOLOGY & ENGINEERING / Chemical & Biochemical. _2bisacsh _9336
776	0	8	_iOnline version: _aGlasgow, Larry A., 1950- author. _tApplied mathematics for science and engineering _dHoboken, New Jersey : John Wiley & Sons, 2014 _z9781118749760 _w(DLC) 2014019351
856	4	2	_3Cover image _uhttp://catalogimages.wiley.com/images/db/jimages/9781118749920.jpg
942			_2ddc _cBO