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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
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.
Offers an account of a rudimentary core of theoretical results that should be understood by those studying evolution equations. This text gradually builds readers' intuition and the material culminates in a discussion of an area of active research. It sets the stage for the next step of theoretical development, allowing you to see the big picture.
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