Ordinary Differential Equations : : Example-driven, Including Maple Code / / Radu Precup.

• Superior document: Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
• VerfasserIn: Precup, Radu,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2018]; ©2018
• Year of Publication: 2018
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (XIII, 221 p.)

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 CodeLab 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

Table of Contents

Frontmatter -- Preface -- 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 -- Bibliography -- Index