This is a student-oriented text, combining throrough explanations, accurate mathematical presentation, and well-defined terms. Essays, contributed by mathematicians and written on the topics of their choosing, are included. The applications approach gives the right amount of theoretical content needed at this level. A complete revision of the chapter on numerical methods now includes new material on the Adams-Bashford Adams-Moulton multistep methods. A chapter is included on plane autonomous systems and stability which and includes a long section on applications.

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"I consider Zill's book to be extremely well written overall with an excellent and wide ranging selection of problems." "Overall, I am impressed with the quality of the writing, the examples and the exercises in both the early and the late chapters and find it appropriate for both weak and strong students."

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