Description 
1 online resource 
Series 
Applied and numerical harmonic analysis 

Applied and numerical harmonic analysis.

Contents 
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  Bessel Functions in Rq  Periodically Oriented Functions  Lattice Functions in R  Lattice Functions in Rq  Concluding Remarks 
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 
Analysis 
Mathematics 

Physical geography 

Meteorology 

Harmonic analysis 

Differential equations, partial 

Functions, special 

Special Functions 

Mathematical Physics 

Geophysics/Geodesy 

Partial Differential Equations 

Abstract Harmonic Analysis 

Meteorology/Climatology 
Bibliography 
Includes bibliographical references and index 
Subject 
Geology  Mathematics.


Geophysics  Mathematics


SCIENCE  Earth Sciences  Geography.


SCIENCE  Earth Sciences  Geology.


Geology  Mathematics.


Geophysics  Mathematics.

Genre/Form 
Electronic books

Form 
Electronic book

Author 
Gutting, Martin

ISBN 
9783034805636 

3034805632 

3034805624 

9783034805629 
