A First Course in Differential Equations Modeling and Simulation is popular PDF and ePub book, written by Carlos A. Smith in 2011-05-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A First Course in Differential Equations Modeling and Simulation can be Read Online from any device for your convenience.
A First Course in Differential Equations Modeling and Simulation Book PDF Summary
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.
Detail Book of A First Course in Differential Equations Modeling and Simulation PDF
- Author : Carlos A. Smith
- Release : 18 May 2011
- Publisher : CRC Press
- ISBN : 9781439850879
- Genre : Mathematics
- Total Page : 350 pages
- Language : English
- PDF File Size : 12,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book A First Course in Differential Equations Modeling and Simulation by Carlos A. Smith, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.