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precup r ordinary differential equ including maple code 2018

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Textbook in PDF format This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. Theory First-Order Differential Equations Linear Differential Systems Second-Order Differential Equations Nonlinear Differential Equations Stability of Solutions Differential Systems with Control Parameters Exercises Classes of First-Order Differential Equations Mathematical Modeling with Differential Equations Linear Differential Systems Second-Order Differential Equations Gronwall’s Inequality Method of Successive Approximations Stability of Solutions Maple Code Introduction to Maple Differential Equations with Maple Linear Differential Systems Second-Order Differential Equations Nonlinear Differential Systems Numerical Computation of Solutions Writing Custom Maple Programs Differential Systems with Control Parameters Brief and accessible presentation. Understanding is aided by a section on applications with a plethora of exercises. Clear separation of concepts and applications: Theory of ODEs is covered before simulations are discussed in a second part

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Precup R. Ordinary Differential Equations. Example-driven, Including Maple Code 2018.pdf 1.8 MB

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precup r ordinary differential equ including maple code 2018

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