A first course in differential equations, modeling, and simulation
著者
書誌事項
A first course in differential equations, modeling, and simulation
CRC Press, an imprint of Taylor & Francis, c2016
2nd ed.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
A First Course in Differential Equations, Modeling, and Simulation shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems. Avoiding overly theoretical explanations, the textbook also discusses classical and Laplace transform methods for obtaining the analytical solution of differential equations. In addition, the authors explain how to solve sets of differential equations where analytical solutions cannot easily be obtained.
Incorporating valuable suggestions from mathematicians and mathematics professors, the Second Edition:
Expands the chapter on classical solutions of ordinary linear differential equations to include additional methods
Increases coverage of response of first- and second-order systems to a full, stand-alone chapter to emphasize its importance
Includes new examples of applications related to chemical reactions, environmental engineering, biomedical engineering, and biotechnology
Contains new exercises that can be used as projects and answers to many of the end-of-chapter problems
Features new end-of-chapter problems and updates throughout
Thus, A First Course in Differential Equations, Modeling, and Simulation, Second Edition provides students with a practical understanding of how to apply differential equations in modern engineering and science.
目次
Introduction. Objects in a Gravitational Field. Classical Solutions of Ordinary Linear Differential Equations. Laplace Transforms. Response of First- and Second-Order Systems. Mechanical Systems: Translational. Mechanical Systems: Rotational. Mass Balances. Thermal Systems. Electrical Systems. Numerical Simulation. Answers to Selected Problems.
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