This book is a revised and updated version, including a substantial portion of new material, of the authors' widely acclaimed earlier text, Perturbation Methods in Applied Mathematics (AMS 34). A new chapter dealing with regular expansions has ben added, the discussion of layer-type singular perturbations has been revised, and the coverage of multiple scale and averaging methods has been significantly expanded to reflect recent advances and viewpoints. The result is a comprehensive account of the various perturbaiton techniques currectly used in the sciences and engineering that is suitable both as a graduate text and as a reference work on the subject.
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