Hadamard expansions and hyperasymptotic evaluation: an extension of the method of steepest descents, Vol. 141 (Record no. 52698)

MARC details
000 -LEADER
fixed length control field 01752 a2200241 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 200320b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107002586
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.45 PAR
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Paris, R. B.
245 ## - TITLE STATEMENT
Title Hadamard expansions and hyperasymptotic evaluation: an extension of the method of steepest descents, Vol. 141
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Cambridge University Press,
Date of publication, distribution, etc 2011.
Place of publication, distribution, etc Cambridge:
300 ## - PHYSICAL DESCRIPTION
Extent viii; 243 p.
Other physical details hb;
Dimensions 24 cm.
365 ## - TRADE PRICE
Price type code GBP
Price amount 54.00
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Encyclopedia of mathematics and its applications
520 ## - SUMMARY, ETC.
Summary, etc The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and Laplace-type integrals. This brand new method builds on the well-known asymptotic method of steepest descents, of which the opening chapter gives a detailed account illustrated by a series of examples of increasing complexity. A discussion of uniformity problems associated with various coalescence phenomena, the Stokes phenomenon and hyperasymptotics of Laplace-type integrals follows. The remaining chapters deal with the Hadamard expansion of Laplace integrals, with and without saddle points. Problems of different types of saddle coalescence are also discussed. The text is illustrated with many numerical examples, which help the reader to understand the level of accuracy achievable. The author also considers applications to some important special functions. This book is ideal for graduate students and researchers working in asymptotics.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Calculus
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Analysis
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Asymptotic Theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Asymptotic Expansions
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Abstract Algebra
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Copy number Cost, replacement price Koha item type
    Dewey Decimal Classification     General IIT Gandhinagar IIT Gandhinagar 18/03/2020 Books India 5115.42   515.45 PAR 029025 18/03/2020 1 5115.42 Books


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