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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310154226.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642259838 |
|
978-3-642-25983-8 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA297-299.4 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
518 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg : |
-- |
Imprint: Springer, |
-- |
2012. |
912 ## - |
-- |
ZDB-2-SMA |
|
-- |
ZDB-2-LNM |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Atkinson, Kendall. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Kendall Atkinson, Weimin Han. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
IX, 244p. 19 illus., 11 illus. in color. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Lecture Notes in Mathematics, |
International Standard Serial Number |
0075-8434 ; |
Volume number/sequential designation |
2044 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods. |
520 ## - SUMMARY, ETC. |
Summary, etc |
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Integral equations. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
|
Topical term or geographic name as entry element |
Functions, special. |
|
Topical term or geographic name as entry element |
Numerical analysis. |
|
Topical term or geographic name as entry element |
Physics. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Numerical Analysis. |
|
Topical term or geographic name as entry element |
Special Functions. |
|
Topical term or geographic name as entry element |
Approximations and Expansions. |
|
Topical term or geographic name as entry element |
Integral Equations. |
|
Topical term or geographic name as entry element |
Partial Differential Equations. |
|
Topical term or geographic name as entry element |
Physics, general. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Han, Weimin. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642259821 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-25983-8 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |