Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics. Solutions of ordinary differential equations are frequently obtained in the form of a definite integral or contour integral, and this tract is concerned with the asymptotic representation of a function of a real or ...
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Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics. Solutions of ordinary differential equations are frequently obtained in the form of a definite integral or contour integral, and this tract is concerned with the asymptotic representation of a function of a real or complex variable defined in this way. After a preliminary account of the properties of asymptotic series, the standard methods of deriving the asymptotic expansion of an integral are explained in detail and illustrated by the expansions of various special functions. These methods include integration by parts, Laplace's approximation, Watson's lemma on Laplace transforms, the method of steepest descents, and the saddle-point method. The last two chapters deal with Airy's integral and uniform asymptotic expansions.
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Fair. With dust jacket and internal markings in pencil Acceptable, Reading copy only, with writing/markings, bumps/creasing, and heavy wear. Standard-sized.
Add this copy of Asymptotic Expansions to cart. $27.00, good condition, Sold by Zephyr Used & Rare Books rated 4.0 out of 5 stars, ships from Vancouver, WA, UNITED STATES, published 1965 by At the University Press.
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8vo. [8], 120 pp. Numerous diagrams. Blue cloth, gilt lettrng (slght sunng to spine, ownrshp stmp on title), still VG-, from library of mathematician & physicist, John A. Simmons. First edition.
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Very good in Good jacket. Volume 55 only. Jacket is lightly sunned and lightly worn along edges. Original price clipped from front jacket flap and price sticker from previous seller on front jacket flap as well. Previous owner's name written on top corner of first end page. Inside pages are clean and unmarked.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 350grams, ISBN:
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New. Trade paperback (US). Contains: Unspecified. Cambridge Tracts in Mathematics . Includes unspecified. Intended for professional and scholarly audience.
Add this copy of Asymptotic Expansions (Cambridge Tracts in Mathematics, to cart. $52.05, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1965 by Cambridge University Press.
