Author: Benjamin Oyediran Oyelami

Ordinary Differential Equations and Applications I: with Maple Examples

eBook: US $39 Special Offer (PDF + Printed Copy): US $92
Printed Copy: US $72
Library License: US $156
ISBN: 978-981-5238-43-3 (Print)
ISBN: 978-981-5238-42-6 (Online)
Year of Publication: 2024
DOI: 10.2174/97898152384261240101

Introduction

Ordinary Differential Equations and Applications I: with Maple Examples blends the theory and practical applications of Ordinary Differential Equations (ODEs) with real-world examples, using Maple and MapleSim software. It covers fundamental ODE concepts, from first-order equations to more advanced topics like the Laplace and Mellin transforms, Fourier series, and power series solutions. The book includes detailed Maple examples demonstrating symbolic solutions, 2D and 3D plotting, and animated solution paths.

Designed for undergraduate and postgraduate students in mathematics, physics, engineering, and other fields, it is also a valuable resource for professionals. The book addresses various applications in biology, economics, chemistry, and medicine.

Key Features:

  • - In-depth coverage of ODEs with real-world applications.
  • - Maple examples for symbolic solutions, plotting, and animations.
  • - Exploration of Laplace, Mellin, and Fourier series methods.

Readership

Undergraduate and graduate students, researchers, and professionals in various scientific disciplines.

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