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Perturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists. In this book, the author has managed to present the theory and techniques underlying such methods in a manner which will give the text wide appeal to students from a broad range of disciplines. Asymptotic expansions, strained coordinates and multiple scales are illustrated by copious use of examples drawn from all areas of applied mathematics and theoretical physics. The philosophy adopted is that there is no single or best method for such problems, but that one may exploit the small parameter given some experience and understanding of similar perturbation problems. The author does not look to perturbation methods to give quantitative answers but rather to give a physical understanding of the subtle balances in a complex problem.
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These notes represent a course of lectures delivered at the Australian National University in the second semester of 1982 as part of the mathematics honours programme. Most of the material contained in the notes is standard although new refinements and variations are included.
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These notes represent a course of lectures delivered at the Australian National University in the second semester of 1982 as part of the mathematics honours programme. Most of the material contained in the notes is standard although new refinements and variations are included.
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