Ordinary Differential Equations
：Example-driven, Including Maple Code
( De Gruyter Textbook )
Publication subTitle ：Example-driven, Including Maple Code
Publication series ： De Gruyter Textbook
Author： Precup Radu
Publisher： De Gruyter
Publication year： 2018
E-ISBN: 9783110447446
P-ISBN(Paperback): 9783110447422
Subject： O175.1 Ordinary Differential Equations
Keyword： 数学物理方法,数值分析,微分方程、积分方程
Language： ENG
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Description
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 Equ
Chapter