The Resource Special functions of mathematical (Geo )physics, Willi Freeden, Martin Gutting
Special functions of mathematical (Geo )physics, Willi Freeden, Martin Gutting
Resource Information
The item Special functions of mathematical (Geo )physics, Willi Freeden, Martin Gutting represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Special functions of mathematical (Geo )physics, Willi Freeden, Martin Gutting represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a wellstructured 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 crosssectional 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
 Language
 eng
 Extent
 1 online resource.
 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
 Isbn
 9783034805629
 Label
 Special functions of mathematical (Geo )physics
 Title
 Special functions of mathematical (Geo )physics
 Statement of responsibility
 Willi Freeden, Martin Gutting
 Subject

 Differential equations, partial.
 Functions, special.
 Geology  Mathematics
 Geology  Mathematics
 Geophysics  Mathematics
 Geophysics  Mathematics
 Geophysics/Geodesy.
 Harmonic analysis.
 Mathematical Physics.
 Mathematics.
 Meteorology.
 Meteorology/Climatology.
 Partial Differential Equations.
 Physical geography.
 SCIENCE  Earth Sciences  Geography
 SCIENCE  Earth Sciences  Geology
 Special Functions.
 Abstract Harmonic Analysis.
 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 wellstructured 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 crosssectional 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
 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
 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
 10.1007/9783034805636
 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
 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
 10.1007/9783034805636
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)828626549
Subject
 Differential equations, partial.
 Functions, special.
 Geology  Mathematics
 Geology  Mathematics
 Geophysics  Mathematics
 Geophysics  Mathematics
 Geophysics/Geodesy.
 Harmonic analysis.
 Mathematical Physics.
 Mathematics.
 Meteorology.
 Meteorology/Climatology.
 Partial Differential Equations.
 Physical geography.
 SCIENCE  Earth Sciences  Geography
 SCIENCE  Earth Sciences  Geology
 Special Functions.
 Abstract Harmonic Analysis.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/SpecialfunctionsofmathematicalGeophysics/SVY0hoN8K5o/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/SpecialfunctionsofmathematicalGeophysics/SVY0hoN8K5o/">Special functions of mathematical (Geo )physics, Willi Freeden, Martin Gutting</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>