Spherical Harmonics and Approximations on the Unit Sphere: An Introduction (Record no. 31282)
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000 -LEADER | |
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fixed length control field | 02949nam a22005895i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783642259838 |
-- | 978-3-642-25983-8 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 518 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Atkinson, Kendall. |
245 10 - TITLE STATEMENT | |
Title | Spherical Harmonics and Approximations on the Unit Sphere: An Introduction |
Statement of responsibility, etc | by Kendall Atkinson, Weimin Han. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Berlin, Heidelberg : |
Name of publisher | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
Year of publication | 2012. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | IX, 244p. 19 illus., 11 illus. in color. |
Other physical details | online resource. |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
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 | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Integral equations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Differential equations, partial. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Functions, special. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Numerical analysis. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Physics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Numerical Analysis. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Special Functions. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Approximations and Expansions. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Integral Equations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Partial Differential Equations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Physics, general. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Han, Weimin. |
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) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
-- | 2012. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0075-8434 ; |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK1988 | http://dx.doi.org/10.1007/978-3-642-25983-8 | E-BOOKS |