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Asymptotic Methods For Integrals (Hardcover)
Loot Price: R6,136
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Asymptotic Methods For Integrals (Hardcover)
Series: Series In Analysis, 6
Expected to ship within 12 - 17 working days
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This book gives introductory chapters on the classical basic and
standard methods for asymptotic analysis, such as Watson's lemma,
Laplace's method, the saddle point and steepest descent methods,
stationary phase and Darboux's method. The methods, explained in
great detail, will obtain asymptotic approximations of the
well-known special functions of mathematical physics and
probability theory. After these introductory chapters, the methods
of uniform asymptotic analysis are described in which several
parameters have influence on typical phenomena: turning points and
transition points, coinciding saddle and singularities. In all
these examples, the special functions are indicated that describe
the peculiar behavior of the integrals.The text extensively covers
the classical methods with an emphasis on how to obtain expansions,
and how to use the results for numerical methods, in particular for
approximating special functions. In this way, we work with a
computational mind: how can we use certain expansions in numerical
analysis and in computer programs, how can we compute coefficients,
and so on.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
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Country of origin: |
Singapore |
Series: |
Series In Analysis, 6 |
Release date: |
December 2014 |
First published: |
2015 |
Authors: |
Nico M. Temme
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Dimensions: |
256 x 169 x 37mm (L x W x T) |
Format: |
Hardcover - Cloth over boards
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Pages: |
628 |
ISBN-13: |
978-981-4612-15-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
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LSN: |
981-4612-15-4 |
Barcode: |
9789814612159 |
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