Differential Equations with MATLAB: Exploration, Applications, and Theory (Textbooks in Mathematics) - Hardcover

McKibben, Mark; Webster, Micah D.

Hardcover

ISBN 10: 1466557079 ISBN 13: 9781466557079

Publisher: Chapman and Hall/CRC, 2014

Synopsis

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance.

The first part of the book presents systems of linear ODEs. The text develops mathematical models from ten disparate fields, including pharmacokinetics, chemistry, classical mechanics, neural networks, physiology, and electrical circuits. Focusing on linear PDEs, the second part covers PDEs that arise in the mathematical modeling of phenomena in ten other areas, including heat conduction, wave propagation, fluid flow through fissured rocks, pattern formation, and financial mathematics.

The authors engage students by posing questions of all types throughout, including verifying details, proving conjectures of actual results, analyzing broad strokes that occur within the development of the theory, and applying the theory to specific models. The authors’ accessible style encourages students to actively work through the material and answer these questions. In addition, the extensive use of MATLAB® GUIs allows students to discover patterns and make conjectures.

About this title

Review

"The purpose of this book is to illustrate the use of MATLAB in the study of several models involving ordinary and partial differential equations. It includes different disciplines such as physics, engineering and finance. It may be useful for engineers, physicists and applied mathematicians and also for advanced undergraduate (or beginning graduate) students who are interested in the utilization of MATLAB in differential equations. ... The volume incorporates many figures and MATLAB exercises and many questions are raised throughout the text so that readers can do their own computer experiments."
―Antonio Cańada Villar (Granada), writing in Zentralblatt MATH 1320 – 1

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2014
• ISBN 10: 1466557079
• ISBN 13: 9781466557079
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 498