Browsing by Subject Differential equations

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  • Authors: Edwards, C. Henry (2020)

  • The book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra. It starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout.

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  • Authors: Lay, David C (2021)

  • With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations. Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such

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  • Authors: Fernández-Cara, Enrique (2024)

  • Differential equations can be viewed as a tool well suited to bring mathematics closer to real life and describe phenomena with an origin in physics, chemistry, biology, economics, etc. Of course, this "invites" scientists and engineers to use them. On the other hand, differential equations are at the starting point of a lot of purely mathematical activity. Thus, a large part of functional analysis has been motivated by the need to solve questions coming from the analysis of differential systems. The same can be said of numerical analysis