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