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A FIRST COURSE IN DIFFERENTIAL EQUATIONS MODELING & SIMULATION by Smith 2011 NEW
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Numero oggetto eBay:353956271772
Specifiche dell'oggetto
- Condizione
- Subject
- Simulation
- ISBN
- 9781439850879
Informazioni su questo prodotto
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1439850879
ISBN-13
9781439850879
eBay Product ID (ePID)
103072265
Product Key Features
Number of Pages
345 Pages
Publication Name
First Course in Differential Equations, Modeling, and Simulation
Language
English
Subject
Engineering (General), Differential Equations / General, Physics / Mathematical & Computational, Applied, Research & Methodology
Publication Year
2011
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
21.7 Oz
Item Length
9.4 in
Item Width
6.5 in
Additional Product Features
Intended Audience
College Audience
LCCN
2010-048218
TitleLeading
A
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
515/.35
Table Of Content
Introduction An Introductory Example Modeling Differential Equations Forcing Functions Book Objectives Objects in a Gravitational Field An Example Antidifferentiation: Technique for Solving First-Order Ordinary Differential Equations Back to Section 2-1 Another Example Separation of Variables: Technique for Solving First-Order Ordinary Differential Equations Back to Section 2-5 Equations, Unknowns, and Degrees of Freedom Classical Solutions of Ordinary Linear Differential Equations Examples of Differential Equations Definition of a Linear Differential Equation Integrating Factor Method Characteristic Equation Undetermined Coefficients Response of First- and Second-Order Systems Application of the Mathematics to Design Laplace Transforms Definition of the Laplace Transform Properties and Theorems of the Laplace Transform Solution of Differential Equations Using Laplace Transform Transfer Functions Algebraic Manipulations Using Laplace Transforms Deviation Variables First- and Second-Order Systems Mechanical Systems: Translational Mechanical Law and Experimental Facts Types of Systems D'Alembert's Principle and Free Body Diagrams Additional Examples Vertical Systems Mechanical Systems: Rotational Mechanical Law, Moment of Inertia, and Torque Torsion Springs Rotational Dampening Gears Systems with Rotational and Translational Elements Mass Balances Conservation of Mass Flow Rates and Concentrations Flow Element and Experimental Facts Examples of Mass Balances Thermal Systems Conservation of Energy Modes of Heat Transfer Conduction Convection Conduction and Convection in Series Accumulated or Stored Energy Some Examples Heat Transfer in a Flow System Electrical Systems Some Definitions and Conventions Electrical Laws and Electrical Components Examples of Electrical Circuits Additional Examples RC Circuits as Filters Numerical Simulation Numerical Solution of Differential Equations Euler's Method for First Order Ordinary Differential Equations Euler's Method for Second Order Ordinary Differential Equations Step Size More Sophisticated Methods Representation of Differential Equations by Block Diagrams Additional Examples Index A Summary and Problems appear at the end of each chapter.
Synopsis
Emphasizing a practical approach for engineers and scientists,A First Course in Differential Equations, Modeling, and Simulationavoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for obtaining the analytical solution of differential equations and Laplace transforms. In addition, the authors discuss how these equations describe mathematical systems and how to use software to solve sets of equations where analytical solutions cannot be obtained. Using simple physics, the book introduces dynamic modeling, the definition of differential equations, two simple methods for obtaining their analytical solution, and a method to follow when modeling. It then presents classical methods for solving differential equations, discusses the engineering importance of the roots of a characteristic equation, and describes the response of first- and second-order differential equations. A study of the Laplace transform method follows with explanations of the transfer function and the power of Laplace transform for obtaining the analytical solution of coupled differential equations. The next several chapters present the modeling of translational and rotational mechanical systems, fluid systems, thermal systems, and electrical systems. The final chapter explores many simulation examples using a typical software package for the solution of the models developed in previous chapters. Providing the necessary tools to apply differential equations in engineering and science, this text helps readers understand differential equations, their meaning, and their analytical and computer solutions. It illustrates how and where differential equations develop, how they describe engineering systems, how to obtain the analytical solution, and how to use software to simulate the systems., Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for obtaining the analytical solution of differential equations and Laplace transforms. In addition, the authors discuss how these equations describe mathematical systems and how to use software to solve sets of equations where analytical solutions cannot be obtained. Using simple physics, the book introduces dynamic modeling, the definition of differential equations, two simple methods for obtaining their analytical solution, and a method to follow when modeling. It then presents classical methods for solving differential equations, discusses the engineering importance of the roots of a characteristic equation, and describes the response of first- and second-order differential equations. A study of the Laplace transform method follows with explanations of the transfer function and the power of Laplace transform for obtaining the analytical solution of coupled differential equations. The next several chapters present the modeling of translational and rotational mechanical systems, fluid systems, thermal systems, and electrical systems. The final chapter explores many simulation examples using a typical software package for the solution of the models developed in previous chapters. Providing the necessary tools to apply differential equations in engineering and science, this text helps readers understand differential equations, their meaning, and their analytical and computer solutions. It illustrates how and where differential equations develop, how they describe engineering systems, how to obtain the analytical solution, and how to use software to simulate the systems.
LC Classification Number
QA371.S528 2011
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- x***l (3)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoItem was received in very good condition; just as expected. The item came complete with paper jacket/cover. For a book published or printed in 1993/1995, this is in very good state of preservation. The seller was friendly in their communication and responded promptly to my messages. They were very helpful in providing me specific details about the book's publisher and edition which helped in determining if this is really what I am looking for. Shipping was also in time and reasonable.Webster's New Encyclopedic Dictionary - Hardcover By Merriam-Webster - 1993 (N° 256631556923)
- a***a (2)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoThe Bible was exactly as described, virtually new and unused. It came packaged very well in multiple layers of packing material, and in a sturdy box. Couldn't be happier.The Children's Bible by Golden Press (1965, Hardcover), Like New, Illustrated (N° 255463676612)
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Undiscovered Galaxy
98,1% di Feedback positivi•8,2 mila oggetti venduti
Registrato come venditore privatoPertanto non si applicano i diritti dei consumatori derivanti dalla normativa europea. La Garanzia cliente eBay è comunque applicabile alla maggior parte degli acquisti. Scopri di piùScopri di più
Categorie più popolari di questo Negozio
Feedback sul venditore (3.852)
- x***l (3)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoItem was received in very good condition; just as expected. The item came complete with paper jacket/cover. For a book published or printed in 1993/1995, this is in very good state of preservation. The seller was friendly in their communication and responded promptly to my messages. They were very helpful in providing me specific details about the book's publisher and edition which helped in determining if this is really what I am looking for. Shipping was also in time and reasonable.Webster's New Encyclopedic Dictionary - Hardcover By Merriam-Webster - 1993 (N° 256631556923)
- a***a (2)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoThe Bible was exactly as described, virtually new and unused. It came packaged very well in multiple layers of packing material, and in a sturdy box. Couldn't be happier.The Children's Bible by Golden Press (1965, Hardcover), Like New, Illustrated (N° 255463676612)
- c***0 (168)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoBook came as described, great seller. I highly recommend.The Complete Works of Flavius Josephus by Flavius Josephus 1981 (N° 354116359568)