Coverart for item
The Resource Special functions of mathematical (Geo- )physics, Willi Freeden, Martin Gutting

Special functions of mathematical (Geo- )physics, Willi Freeden, Martin Gutting

Label
Special functions of mathematical (Geo- )physics
Title
Special functions of mathematical (Geo- )physics
Statement of responsibility
Willi Freeden, Martin Gutting
Creator
Contributor
Subject
Language
eng
Summary
Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process. Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to application. All in all, the book is an equally valuable resource for education in geomathematics and the study of applied and harmonic analysis. Students who wish to continue with further studies should consult the literature given as supplements for each topic covered in the exercises
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Freeden, W.
Dewey number
551.01/51
Index
index present
LC call number
QE33.2.M3
LC item number
F74 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
http://library.link/vocab/relatedWorkOrContributorDate
1978-
http://library.link/vocab/relatedWorkOrContributorName
Gutting, Martin
Series statement
Applied and numerical harmonic analysis
http://library.link/vocab/subjectName
  • Geology
  • Geophysics
  • SCIENCE
  • SCIENCE
  • Geology
  • Geophysics
Label
Special functions of mathematical (Geo- )physics, Willi Freeden, Martin Gutting
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Bessel Functions in Rq
  • Periodically Oriented Functions
  • Lattice Functions in R
  • Lattice Functions in Rq
  • Concluding Remarks
  • Auxiliary Functions
  • The Gamma Function
  • Orthogonal Polynomials
  • Spherically Oriented Functions
  • Scalar Spherical Harmonics in R3
  • Vectorial Spherical Harmonics in R3
  • Spherical Harmonics in Rq
  • Classical Bessel Functions
Control code
828626549
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783034805629
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0563-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)828626549
Label
Special functions of mathematical (Geo- )physics, Willi Freeden, Martin Gutting
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Bessel Functions in Rq
  • Periodically Oriented Functions
  • Lattice Functions in R
  • Lattice Functions in Rq
  • Concluding Remarks
  • Auxiliary Functions
  • The Gamma Function
  • Orthogonal Polynomials
  • Spherically Oriented Functions
  • Scalar Spherical Harmonics in R3
  • Vectorial Spherical Harmonics in R3
  • Spherical Harmonics in Rq
  • Classical Bessel Functions
Control code
828626549
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783034805629
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0563-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)828626549

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      38.944491 -92.326012
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