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A First Course in Differential Equations, Modeling, and Simulation
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A First Course in Differential Equations, Modeling, and Simulation Hardback - 2011

by Carlos a. Smith; Scott W. Campbell

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Reader reviews for A First Course in Differential Equations, Modeling, and Simulation

From the publisher

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.

Details

  • Title A First Course in Differential Equations, Modeling, and Simulation
  • Author Carlos a. Smith; Scott W. Campbell
  • Binding Hardback
  • Edition [ Edition: First
  • Pages 345
  • Volumes 1
  • Language ENG
  • Publisher CRC Press
  • Publication date 2011-05
  • Illustrated Yes
  • ISBN 9781439850879 / 1439850879
  • Weight 1.35 lbs (0.61 kg)
  • Dimensions 9.3 x 6.3 x 0.9 in (23.62 x 16.00 x 2.29 cm)
  • Category Mathematics
  • Library of Congress subjects Differential equations, Experimental design
  • Library of Congress Catalogue Number 2010048218
  • Dewey Decimal Code 515.35

About the author

Carlos A. Smith is a professor emeritus in the Department of Chemical and Biomedical Engineering at the University of South Florida. He has co-authored three editions of Principles and Practice of Automatic Process Control and authored Continuous Automated Process Control.

Scott W. Campbell is a professor in the Department of Chemical and Biomedical Engineering at the University of South Florida, where he has recently incorporated applications and projects into the calculus sequences for engineering and life sciences students. His research interests encompass the areas of thermodynamics and environmental monitoring and modeling.

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A First Course in Differential Equations, Modeling, and Simulation
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A First Course in Differential Equations, Modeling, and Simulation

by Smith, Carlos A.; Campbell, Scott W

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A First Course in Differential Equations, Modeling, and Simulation
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A First Course in Differential Equations, Modeling, and Simulation

by Smith, Carlos A

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A First Course in Differential Equations, Modeling, and Simulation
Stock photo: cover may vary

A First Course in Differential Equations, Modeling, and Simulation

by Smith, Carlos A.

  • Used
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  • Hardback
Condition
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Hardcover
ISBN 10 / ISBN 13
9781439850879 / 1439850879
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hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.
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