Chapman and Hall/CRC
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
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.