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Applied Mathematics for Science and Engineering

Detalles Bibliográficos
Autor principal: Glasgow, Larry A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2014.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 9781118749760 
020 |a 1118749766 
035 |a (OCoLC)1347023176 
082 0 4 |a 510  |q OCoLC  |2 23/eng/20230216 
049 |a UAMI 
100 1 |a Glasgow, Larry A. 
245 1 0 |a Applied Mathematics for Science and Engineering  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2014. 
300 |a 1 online resource (259 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Cover -- Title page -- Copyright page -- Contents -- Preface -- 1: Problem Formulation and Model Development -- 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 -- Using the Equations of Change Directly -- A Contrast: Deterministic Models and Stochastic Processes -- Empiricisms and Data Interpretation -- Conclusion -- Problems -- References -- 2: Algebraic Equations -- Introduction -- Elementary Methods 
505 8 |a Newton-Raphson (Newton's Method of Tangents) -- Regula Falsi (False Position Method) -- Dichotomous Search -- Golden Section Search -- Simultaneous Linear Algebraic Equations -- Crout's (or Cholesky's) Method -- Matrix Inversion -- Iterative Methods of Solution -- Simultaneous Nonlinear Algebraic Equations -- Pattern Search for Solution of Nonlinear Algebraic Equations -- Algebraic Equations with Constraints -- Conclusion -- Problems -- References -- 3: Vectors and Tensors -- Introduction -- Manipulation of Vectors -- Force Equilibrium -- Equating Moments -- Projectile Motion 
505 8 |a Dot and Cross Products -- Differentiation of Vectors -- Gradient, Divergence, and Curl -- Green's Theorem -- Stokes' Theorem -- Conclusion -- Problems -- References -- 4: Numerical Quadrature -- Introduction -- Trapezoid Rule -- Simpson's Rule -- Newton-Cotes Formulae -- Roundoff and Truncation Errors -- Romberg Integration -- Adaptive Integration Schemes -- Simpson's Rule -- Gaussian Quadrature and the Gauss-Kronrod Procedure -- Integrating Discrete Data -- Multiple Integrals (Cubature) -- Monte Carlo Methods -- Conclusion -- Problems -- References 
505 8 |a 5: Analytic Solution of Ordinary Differential Equations -- An Introductory Example -- First-Order Ordinary Differential Equations -- Nonlinear First-Order Ordinary Differential Equations -- Solutions with Elliptic Integrals and Elliptic Functions -- Higher-Order Linear ODEs with Constant Coefficients -- Use of the Laplace Transform for Solution of ODEs -- Higher-Order Equations with Variable Coefficients -- Bessel's Equation and Bessel Functions -- Power Series Solutions of Ordinary Differential Equations -- Regular Perturbation -- Linearization -- Conclusion -- Problems -- References 
505 8 |a 6: Numerical Solution of Ordinary Differential Equations -- An Illustrative Example -- The Euler Method -- Modified Euler Method -- Runge-Kutta Methods -- Simultaneous Ordinary Differential Equations -- Some Potential Difficulties Illustrated -- Limitations of Fixed Step-Size Algorithms -- Richardson Extrapolation -- Multistep Methods -- Split Boundary Conditions -- Finite-Difference Methods -- Stiff Differential Equations -- Backward Differentiation Formula (BDF) Methods -- Bulirsch-Stoer Method -- Phase Space -- Summary -- Problems -- References 
500 |a 7: Analytic Solution of Partial Differential Equations 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
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776 0 8 |i Print version:  |a Glasgow, Larry A.  |t Applied Mathematics for Science and Engineering  |d Newark : John Wiley & Sons, Incorporated,c2014  |z 9781118749920 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104027  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7104027 
994 |a 92  |b IZTAP