Mark McKibben, Micah D. Webster

Differential Equations with MATLAB (eBook, PDF)

Exploration, Applications, and Theory

• Format: PDF

Produktbeschreibung

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 distinct models through concrete applications in physics, engineering, finance, and many other areas. The book also uses MATLAB GUIs that enable students to discover patterns and make conjectures.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 497
• Erscheinungstermin: 8. September 2014
• Englisch
• ISBN-13: 9781466557086
• Artikelnr.: 57076332

Autorenporträt

Mark McKibben, Micah D. Webster

Inhaltsangabe

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.