
Differential Equations with MATLAB
Exploration, Applications, and Theory
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 14. October 2024
Book
Paperback/Softback
498 pages
978-1-032-91925-6 (ISBN)
Description
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 (R) GUIs allows students to discover patterns and make conjectures.
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 (R) GUIs allows students to discover patterns and make conjectures.
Reviews / Votes
"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 Canada Villar (Granada), writing in Zentralblatt MATH 1320 - 1
More details
Series
Language
English
Place of publication
Boca Raton
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Postgraduate
Illustrations
215 s/w Abbildungen
215 Illustrations, black and white
Dimensions
Height: 254 mm
Width: 178 mm
Weight
920 gr
ISBN-13
978-1-032-91925-6 (9781032919256)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Mark McKibben | Micah D. Webster
Differential Equations with MATLAB
Exploration, Applications, and Theory
E-Book
09/2014
1st Edition
Chapman & Hall/CRC
€78.99
Available for download

Mark McKibben | Micah D. Webster
Differential Equations with MATLAB
Exploration, Applications, and Theory
E-Book
09/2014
Chapman and Hall
€78.99
Available for download

Mark McKibben | Micah D. Webster
Differential Equations with MATLAB
Exploration, Applications, and Theory
Book
09/2014
1st Edition
CRC Press
€166.50
Shipment within 15-20 days
Persons
Mark McKibben, Micah D. Webster
Content
ORDINARY DIFFERENTIAL EQUATIONS: Welcome! A Basic Analysis Toolbox. A First Wave of Mathematical Models. Finite-Dimensional Theory-Ground Zero: The Homogenous Case. Finite-Dimensional Theory-Next Step: The Non-Homogenous Case. A Second Wave of Mathematical Models-Now, with Nonlinear Interactions. Finite-Dimensional Theory-Last Step: The Semi-Linear Case. ABSTRACT ORDINARY DIFFERENTIAL EQUATIONS: Getting the Lay of a New Land. Three New Mathematical Models. Formulating a Theory for (A-HCP). The Next Wave of Mathematical Models-With Forcing. Remaining Mathematical Models. Formulating a Theory for (A-NonCP). A Final Wave of Models-Accounting for Semilinear Effects. Appendix. Bibliography. Index.