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Ordinary Differential Equations - Introduction and Qualitative Theory, Third Edition (Paperback, 3rd edition)
Loot Price: R1,878
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Ordinary Differential Equations - Introduction and Qualitative Theory, Third Edition (Paperback, 3rd edition)
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Expected to ship within 12 - 17 working days
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Designed for a rigorous first course in ordinary differential
equations, Ordinary Differential Equations: Introduction and
Qualitative Theory, Third Edition includes basic material such as
the existence and properties of solutions, linear equations,
autonomous equations, and stability as well as more advanced topics
in periodic solutions of nonlinear equations. Requiring only a
background in advanced calculus and linear algebra, the text is
appropriate for advanced undergraduate and graduate students in
mathematics, engineering, physics, chemistry, or biology. This
third edition of a highly acclaimed textbook provides a detailed
account of the Bendixson theory of solutions of two-dimensional
nonlinear autonomous equations, which is a classical subject that
has become more prominent in recent biological applications. By
using the Poincare method, it gives a unified treatment of the
periodic solutions of perturbed equations. This includes the
existence and stability of periodic solutions of perturbed
nonautonomous and autonomous equations (bifurcation theory). The
text shows how topological degree can be applied to extend the
results. It also explains that using the averaging method to seek
such periodic solutions is a special case of the use of the
Poincare method.
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