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Catalogue Information
Field name	Details
Dewey Class	003.3
Title	Symbolic Asymptotics ([EBook] /) / by John R. Shackell.
Author	Shackell, John R.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2004.
Physical Details	XI, 243 p. : online resource.
Series	Algorithms and computation in mathematics 1431-1550 ; ; 12
ISBN	9783662101766
Summary Note	Symbolic asymptotics has recently undergone considerable theoretical development, especially in areas where power series are no longer an appropriate tool. Implementation is beginning to follow. The present book, written by one of the leading specialists in the area, is currently the only one to treat this part of symbolic asymptotics. It contains a good deal of interesting material in a new, developing field of mathematics at the intersection of algebra, analysis and computing, presented in a lively and readable way. The associated areas of zero equivalence and Hardy fields are also covered. The book is intended to be accessible to anyone with a good general background in mathematics, but it nonetheless gets right to the cutting edge of active research. Some results appear here for the first time, while others have hitherto only been given in preprints. Due to its clear presentation, this book is interesting for a broad audience of mathematicians and theoretical computer scientists.:
Contents note	Zero Equivalence -- Hardy Fields -- Output Data Structures -- Algorithms for Function Towers -- Algebraic Differential Equations -- Inverse Functions -- Implicit Functions -- Star-Product Expansions -- Oscillating Functions -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-10176-6
Links to Related Works	Subject References: Algorithms . Analysis . Analysis (Mathematics) . Approximation theory . Approximations and Expansions . Computer Science . Mathematical analysis . Mathematical Modeling and Industrial Mathematics . Mathematical models . Mathematics . Mathematics of Computing . Symbolic and Algebraic Manipulation . Authors: Shackell, John R. . Corporate Authors: SpringerLink (Online service) . Series: Algorithms and computation in mathematics . Classification: 003.3 .

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Symbolic Asymptotics

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