Symbolic asymptotics/ John R. Shackell.
Series: Algorithms and computation in mathematics ; v. 12.Publication details: Berlin; New York: Springer, c2004.Description: xi, 243 p.; 25 cmISBN:- 3540210970 (hc : acid-free paper)
- 9783540210979 (hc : acid-free paper)
- 3642059252
- 9783642059254
- 511.8 S524s
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Includes bibliographical references (p. [235]-240) and index.
Zero equivalence -- Hardy fields -- Output data structures -- Algorithms for function towers -- Algebraic differential equations -- Inverse functions -- Implicit functions -- Star-product expansions -- Oscillating functions.
Symbolic asymptotics has recently undergone considerable theoretical development, especially in areas where power series are no longer an appropriate tool. This title looks at this developing field of mathematics at the intersection of algebra, analysis and computi .
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