The first contemporary textbook on ordinary differential equations
(ODEs) to include instructions on MATLAB®, Mathematica®, and Maple, A
Course in Ordinary Differential Equations focuses on applications and
methods of analytical and numerical solutions, emphasizing approaches
used in the typical engineering, physics, or mathematics student's
field of study. Stressing applications wherever possible, the authors
have written this text with the applied math, engineer, or science
major in mind. It includes a number of modern topics that are not
commonly found in a traditional sophomore-level text. For example,
Chapter 2 covers direction fields, phase line techniques, and the
Runge-Kutta method; another chapter discusses linear algebraic
topics, such as transformations and eigenvalues. Chapter 6 considers
linear and nonlinear systems of equations from a dynamical systems
viewpoint and uses the linear algebra insights from the previous
chapter; it also includes modern applications like epidemiological
models. With sufficient problems at the end of each chapter, even the
pure math major will be fully challenged. Although traditional in its
coverage of basic topics of ODEs, A Course in Ordinary Differential
Equations is one of the first texts to provide relevant computer code
and instruction in MATLAB, Mathematica, and Maple that will prepare
students for further study in their fields.
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