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Asymptotic Expansions
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Asymptotic Expansions Hardcover - 1965

by E. T. Copson


From the publisher

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.

First line

Although the subject of 'Modern Analysis' had its beginnings in the seventeenth century, the mathematicians of the eighteenth century were often more interested in the formal use of infinite processes than in their rigorous proofs.

Details

  • Title Asymptotic Expansions
  • Author E. T. Copson
  • Binding Hardcover
  • Edition First Edition; F
  • Pages 128
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Date January 1, 1965
  • ISBN 9780521047210 / 0521047218
  • Weight 0.69 lbs (0.31 kg)
  • Library of Congress Catalog Number 64021568
  • Dewey Decimal Code 515.234
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Asymptotic Expansions

Asymptotic Expansions

by Copson, E. T.

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Cambridge, UK: Cambridge at the University Press, 1971. Retired library copy, usual stamps and markings; Textblock is clean and tight. Couple library labels on front cover, minimally shelf worn. 120pp., including bibliography and index.. Reprint. Cloth. Near Fine. Illus. by Mathematics/Diagrams/Graphs. 8vo - over 7¾" - 9¾" tall. Ex-Library Hardcover.
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ASYMPTOTIC EXPANSIONS
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ASYMPTOTIC EXPANSIONS

by Copson, E. T.

  • Used
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  • Hardcover
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Used - Fine
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Hardcover
ISBN 10 / ISBN 13
9780521047210 / 0521047218
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London: Cambridge University Press, 1971. Hardcover. Fine/Very Good Dust Jacket. (8)120pp. Dj has a 2" tear repired. Biblio. Index. Cambridge Tracts 55. Size: 12mo - over 6¾ - 7¾" Tall
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Asymptotic Expansions (Cambridge Tracts in Mathematics and Mathematical Physics Vol. 55)
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Asymptotic Expansions (Cambridge Tracts in Mathematics and Mathematical Physics Vol. 55)

by E. T. Copson

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ISBN 10 / ISBN 13
9780521047210 / 0521047218
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1971. Hard cover. Very good/Good. 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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Asymptotic Expansions  [Series: Cambridge Tracts in Mathematics and Mathematical Physics, Number 55)
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Asymptotic Expansions [Series: Cambridge Tracts in Mathematics and Mathematical Physics, Number 55)

by E. T. Copson

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ISBN 10 / ISBN 13
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Cambridge University Press, 1965. Hardcover. Very Good. 8vo, hardcover. No dj, blue cloth. Vg condition. Previous owner's name on front endpaper; covers and contents clean, no marking or writing. Binding square and tight. 119 pp.
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Asymptotic Expansions (Cambridge Tracts in Mathematics)
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Asymptotic Expansions (Cambridge Tracts in Mathematics)

by E. T. Copson

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ISBN 10 / ISBN 13
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Cambridge University Press, 1965-01-01. First Edition. Hardcover. Good.
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Asymptotic Expansions (Cambridge Tracts in Mathematics, Series Number 55)
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Asymptotic Expansions (Cambridge Tracts in Mathematics, Series Number 55)

by Copson, E. T

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Cambridge University Press. Hardcover. New. New. In shrink wrap. Looks like an interesting title!
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