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Graduate Studies in Mathematics
2012; 248 pp; hardcover
List Price: US$64
Member Price: US$51.20
Order Code: GSM/137
Introduction to Differential Equations - Michael E Taylor
Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems - Stuart P Hastings and J Bryce McLeod
This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations. It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane. The emphasis is primarily on results and methods that allow one to analyze qualitative properties of the solutions without solving the equations explicitly. The text includes numerous examples that illustrate in detail the new concepts and results as well as exercises at the end of each chapter. The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations. In particular, it provides brief introductions to bifurcation theory, center manifolds, normal forms and Hamiltonian systems.
Undergraduate and graduate students interested in ordinary differential equations, dynamical systems, bifurcation theory, and Hamiltonian systems.
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