
Preface  Preview Material  Table of Contents  Index  Supplementary Material 
Graduate Studies in Mathematics 2012; 248 pp; hardcover Volume: 137 ISBN10: 0821887491 ISBN13: 9780821887493 List Price: US$64 Member Price: US$51.20 Order Code: GSM/137 See also: 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. Request an examination or desk copy. Readership Undergraduate and graduate students interested in ordinary differential equations, dynamical systems, bifurcation theory, and Hamiltonian systems. 


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