This booklet effects from a variety of lectures given in recent times. Early drafts have been used for a number of unmarried semester classes on singular perturbation meth ods given at Rensselaer, and a extra entire model used to be used for a 365 days path on the Technische Universitat Wien. a few parts were used for brief lecture sequence at Universidad valuable de Venezuela, West Vir ginia collage, the collage of Southern California, the college of California at Davis, East China general collage, the collage of Texas at Arlington, Universita di Padova, and the collage of latest Hampshire, between different locations. for this reason, i have acquired plenty of useful suggestions from scholars and listeners, for which i'm thankful. This writing maintains a development. prior lectures at Bell Laboratories, on the collage of Edin burgh and ny collage, and on the Australian nationwide college resulted in my previous works (1968, 1974, and 1978). All appear to have been worthy for the learn of singular perturbations, and that i desire an identical should be precise of this monograph. i have individually discovered a lot from examining and interpreting the works of others, so i'd specially motivate readers to regard this publication as an creation to a various and fascinating literature. the subject assurance chosen is own and displays my present opin ions. An test has been made to motivate a constant approach to ap proaching difficulties, principally via correcting outer limits in areas of swift switch. Formal proofs of correctness are usually not emphasised.
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