A first course in differential equations

This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasi...

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Autor principal: Logan, John David, 1944-
Format: Livre numérique
Idioma:Anglais
Publicat: New York, NY : Springer New York [20..].
Cham : Springer Nature
Col·lecció:Undergraduate texts in mathematics
Matèries:
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Edition sous un autre format:• A first course in differential equations, J. David Logan, New York, Springer, 2006, 1 vol. (XV-289 p.), Undergraduate texts in mathematics, 0-387-25963-5
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245 1 0 |a A first course in differential equations   |c J. David Logan. 
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490 0 |a Undergraduate texts in mathematics 
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504 |a Bibliogr. p. 255-256. Index 
505 1 |a Preface Differential Equations and Models Analytic Solutions and Approximations.-Second-Order Differential Equations Laplace Transforms Linear Systems Nonlinear Systems Appendix A: References Appendix B: A Brief on MATLAB Appendix C: Maple Commands Appendix D: Sample Examinations Appendix E: Solutions to Selected Exercises 
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520 |a This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations 
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