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EBOOKCENTRAL_on1347023176 |
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20240329122006.0 |
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230209s2014 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
|d OCLCO
|d OCLCQ
|d OCLCL
|d OCLCQ
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020 |
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|a 9781118749760
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|a 1118749766
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|a (OCoLC)1347023176
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082 |
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|a 510
|q OCoLC
|2 23/eng/20230216
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|a UAMI
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100 |
1 |
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|a Glasgow, Larry A.
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1 |
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|a Applied Mathematics for Science and Engineering
|h [electronic resource].
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260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2014.
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300 |
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|a 1 online resource (259 p.).
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490 |
1 |
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|a New York Academy of Sciences Ser.
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500 |
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|a Description based upon print version of record.
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|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
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505 |
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|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
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505 |
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|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
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505 |
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|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
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505 |
8 |
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|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
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500 |
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|a 7: Analytic Solution of Partial Differential Equations
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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655 |
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0 |
|a Electronic books.
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758 |
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|i has work:
|a Applied mathematics for science and engineering (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGQCcR67ctgkh36fjWpy7d
|4 https://id.oclc.org/worldcat/ontology/hasWork
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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
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830 |
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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 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104027
|
994 |
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|a 92
|b IZTAP
|