Author: Benjamin Oyediran Oyelami

Ordinary Differential Equations and Applications II: with Maple Illustrations

eBook: US $59 Special Offer (PDF + Printed Copy): US $99
Printed Copy: US $69
Library License: US $236
ISBN: 978-981-5313-87-1 (Print)
ISBN: 978-981-5313-86-4 (Online)
Year of Publication: 2024
DOI: 10.2174/97898153138641240101

Introduction

Ordinary Differential Equations and Applications II: With Maple Illustrations integrates fundamental theories of Ordinary Differential Equations (ODEs) with practical applications and Maple-based solutions. This comprehensive textbook covers vector-valued differential equations, matrix solutions, stability methods, and periodic systems. Using Maple and MapleSim software, readers learn symbolic solutions, plotting techniques, 2D/3D animation for ODE problems, and simulations for engineering systems.

This book is ideal for undergraduate and postgraduate students in mathematics, physics, economics, and engineering, as well as researchers and professionals needing advanced applications of ODEs.

Key Features:

  • - Comprehensive introduction to ODE concepts and real-life applications
  • - Solutions for initial value problems using Maple and MapleSim software
  • - Analysis of stability using Routh-Hurwitz and Lyapunov methods
  • - Models of neural firing, avian influenza, and biological populations
  • - Practical guidance on MapleSim for multi-domain simulations, code generation, and Monte Carlo simulation

Readership:

Undergraduate and graduate students, researchers, professionals, and general readers

Foreword

I strongly endorse this exceptional book on the subject of differential equations. It covers all aspects of the field. It has a solid theoretical foundation and an applied focus, with many practical examples. It demonstrates how to program them using Maple, which is a leading mathematical software; and finally, it demonstrates how to generate graphics that clearly represent the nature of solutions and provide deep insights into them. All of these aspects are essential in the use of differential equations in modern mathematics, science, and technology. Thus, the book is equally useful for mathematicians, scientists, and engineers. As engineers should have some understanding of the theory of differential equations, also mathematicians should be able to program and generate graphical results.

This volume is especially valuable because it presents all of these aspects in an integrated fashion. It is written by a true expert in the field, an experienced teacher who has also carried out significant applied research. As a master teacher, Dr. Oyelami presents the material in a simple, straightforward, easy-to-follow manner. As an expert researcher, he knows first-hand the power of differential equations as a modeling tool, and his love for the field is clearly visible. The volume is also comprehensive in its coverage, especially in the areas of differential equations of the greatest practical interest. The students who study this material will be thoroughly prepared for employment in technical fields that use differential equations for modeling purposes. Such a student will also find the book to be a valuable continuing reference, both for its clear theoretical presentations and its useful and generalizable computer codes.

Christopher Thron
Associate Professor of Mathematics,
Texas A&M University, Central Texas, USA