Ordinary Differential Equations

Radu Precup

ISBN 10: 3110447428 / ISBN 13: 9783110447422

Published by De Gruyter, DE, 2018

About this Item

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.

Seller Inventory # LU-9783110447422

Bibliographic Details

• Title: Ordinary Differential Equations
• Publisher: De Gruyter, DE
• Publication Date: 2018
• Language: English
• ISBN 10: 3110447428
• ISBN 13: 9783110447422
• Binding: Paperback
• Condition: New
• Weight: 456 grams

About this title

Synopsis

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

About the Author

Radu Precup, Babeș-Bolyai University, Romania.