Precup R. Ordinary Differential Equ...Including Maple Code 2018 torrent

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