eBook - ePub

Ordinary Differential Equations

Name: Ordinary Differential Equations
ISBN: 9783110447507

Example-driven, Including Maple Code

Radu Precup,

234 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Ordinary Differential Equations

Example-driven, Including Maple Code

Radu Precup,

About this book

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.

Contents
Part I: Theory
Chapter 1 First-Order Differential Equations
Chapter 2 Linear Differential Systems
Chapter 3 Second-Order Differential Equations
Chapter 4 Nonlinear Differential Equations
Chapter 5 Stability of Solutions
Chapter 6 Differential Systems with Control Parameters

Part II: Exercises
Seminar 1 Classes of First-Order Differential Equations
Seminar 2 Mathematical Modeling with Differential Equations
Seminar 3 Linear Differential Systems
Seminar 4 Second-Order Differential Equations
Seminar 5 Gronwall's Inequality
Seminar 6 Method of Successive Approximations
Seminar 7 Stability of Solutions

Part III: Maple Code
Lab 1 Introduction to Maple
Lab 2 Differential Equations with Maple
Lab 3 Linear Differential Systems
Lab 4 Second-Order Differential Equations
Lab 5 Nonlinear Differential Systems
Lab 6 Numerical Computation of Solutions
Lab 7 Writing Custom Maple Programs
Lab 8 Differential Systems with Control Parameters

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Yes, you can access Ordinary Differential Equations by Radu Precup in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.