Differential Equations: From Calculus to Dynamical Systems

Differential Equations: From Calculus to Dynamical Systems
ISBN-10
1470463296
ISBN-13
9781470463298
Series
Differential Equations
Category
Education
Pages
402
Language
English
Published
2020-08-28
Publisher
American Mathematical Soc.
Author
Virginia W. Noonburg

Description

A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.

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