Differential Equations With Matlab - Exploration, Applications, and Theory

Designed for an undergraduate course on mathematical modeling or differential equations, this text provides students with an understanding of the practical and theoretical aspects of mathematical models involving ODEs and PDEs. It develops students' intuition by building the theory from the ground up and illustrates the analysis of more than 20

List of contents

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.

About the author

Mark McKibben, Micah D. Webster

Summary

Designed for an undergraduate course on mathematical modeling or differential equations, this text provides students with an understanding of the practical and theoretical aspects of mathematical models involving ODEs and PDEs. It develops students’ intuition by building the theory from the ground up and illustrates the analysis of more than 20

Product details

• Authors: Mark McKibben, Mark Webster Mckibben, Micah D. Webster, Webster Micah D.
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 14.10.2024
• EAN: 9781032919256
• ISBN: 978-1-0-3291925-6
• No. of pages: 498
• Series: Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, environmental science, engineering & technology, Differential calculus & equations, Mathematical modelling, Environmental science, engineering and technology, Differential calculus and equations