語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
到查詢結果
[ subject:"Spherical functions." ]
切換:
標籤
|
MARC模式
|
ISBD
Spherical functions of mathematical ...
~
Freeden, W.
FindBook
Google Book
Amazon
博客來
Spherical functions of mathematical geosciences = a scalar, vectorial, and tensorial setup /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Spherical functions of mathematical geosciences/ by Willi Freeden, Michael Schreiner.
其他題名:
a scalar, vectorial, and tensorial setup /
作者:
Freeden, W.
其他作者:
Schreiner, M.
出版者:
Berlin, Heidelberg :Springer Berlin Heidelberg : : 2022.,
面頁冊數:
xv, 729 p. :ill., digital ;24 cm.
內容註:
Basic Settings and Spherical Nomenclature -- Scalar Spherical Harmonics -- Green's Functions and Integral Formulas -- Vector Spherical Harmonics -- Tensor Spherical Harmonics -- Scalar Zonal Kernel Functions -- Vector Zonal Kernel Functions -- Tensorial Zonal Kernel Functions -- Zonal Function Modeling of Earth's Mass Distribution.
Contained By:
Springer Nature eBook
標題:
Earth sciences - Mathematics. -
電子資源:
https://doi.org/10.1007/978-3-662-65692-1
ISBN:
9783662656921
Spherical functions of mathematical geosciences = a scalar, vectorial, and tensorial setup /
Freeden, W.
Spherical functions of mathematical geosciences
a scalar, vectorial, and tensorial setup /[electronic resource] :by Willi Freeden, Michael Schreiner. - Second edition. - Berlin, Heidelberg :Springer Berlin Heidelberg :2022. - xv, 729 p. :ill., digital ;24 cm. - Geosystems mathematics,2510-1552. - Geosystems mathematics..
Basic Settings and Spherical Nomenclature -- Scalar Spherical Harmonics -- Green's Functions and Integral Formulas -- Vector Spherical Harmonics -- Tensor Spherical Harmonics -- Scalar Zonal Kernel Functions -- Vector Zonal Kernel Functions -- Tensorial Zonal Kernel Functions -- Zonal Function Modeling of Earth's Mass Distribution.
This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth's system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.
ISBN: 9783662656921
Standard No.: 10.1007/978-3-662-65692-1doiSubjects--Topical Terms:
551200
Earth sciences
--Mathematics.
LC Class. No.: QE33.2.M3 / F74 2022
Dewey Class. No.: 550.151553
Spherical functions of mathematical geosciences = a scalar, vectorial, and tensorial setup /
LDR
:02595nmm a2200325 a 4500
001
2304819
003
DE-He213
005
20221014181552.0
006
m d
007
cr nn 008maaau
008
230409s2022 gw s 0 eng d
020
$a
9783662656921
$q
(electronic bk.)
020
$a
9783662656914
$q
(paper)
024
7
$a
10.1007/978-3-662-65692-1
$2
doi
035
$a
978-3-662-65692-1
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QE33.2.M3
$b
F74 2022
072
7
$a
SCI032000
$2
bisacsh
082
0 4
$a
550.151553
$2
23
090
$a
QE33.2.M3
$b
F853 2022
100
1
$a
Freeden, W.
$3
2049424
245
1 0
$a
Spherical functions of mathematical geosciences
$h
[electronic resource] :
$b
a scalar, vectorial, and tensorial setup /
$c
by Willi Freeden, Michael Schreiner.
250
$a
Second edition.
260
$a
Berlin, Heidelberg :
$b
Springer Berlin Heidelberg :
$b
Imprint: Birkhäuser,
$c
2022.
300
$a
xv, 729 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Geosystems mathematics,
$x
2510-1552
505
0
$a
Basic Settings and Spherical Nomenclature -- Scalar Spherical Harmonics -- Green's Functions and Integral Formulas -- Vector Spherical Harmonics -- Tensor Spherical Harmonics -- Scalar Zonal Kernel Functions -- Vector Zonal Kernel Functions -- Tensorial Zonal Kernel Functions -- Zonal Function Modeling of Earth's Mass Distribution.
520
$a
This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth's system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.
650
0
$a
Earth sciences
$x
Mathematics.
$3
551200
650
0
$a
Spherical functions.
$3
731269
650
1 4
$a
Solid Earth Sciences.
$3
3591737
650
2 4
$a
Applications of Mathematics.
$3
890893
700
1
$a
Schreiner, M.
$3
3607347
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer Nature eBook
830
0
$a
Geosystems mathematics.
$3
3227411
856
4 0
$u
https://doi.org/10.1007/978-3-662-65692-1
950
$a
Earth and Environmental Science (SpringerNature-11646)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9446368
電子資源
11.線上閱覽_V
電子書
EB QE33.2.M3 F74 2022
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入