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

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...

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