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1.

電子ブック
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1. Handbook of Geomathematics
edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
オンライン: http://dx.doi.org/10.1007/978-3-642-01546-5
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2.

電子ブック
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2. Special Functions of Mathematical (Geo-)Physics
by Willi Freeden, Martin Gutting
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0563-6
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目次情報: 続きを見る
1 Introduction: Geomathematical Motivation
Part I: Auxiliary Functions
2 The Gamma Function
3 Orthogonal Polynomials
Part II: Spherically Oriented Functions.- 4 Scalar Spherical Harmonics in R^3
5 Vectorial Spherical Harmonics in R^3
6 Spherical Harmonics in R^q
7 Classical Bessel Functions
8 Bessel Functions in R^q
Part III: Periodically Oriented Functions
9 Lattice Functions in R
10 Lattice Functions in R^q
11 Concluding Remarks
References
Index
1 Introduction: Geomathematical Motivation
Part I: Auxiliary Functions
2 The Gamma Function
3.

電子ブック
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3. Inverse Magnetometry : Mollifier Magnetization Distribution from Geomagnetic Field Data. 1st ed. 2021
by Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Lecture Notes in Geosystems Mathematics and Computing ;
オンライン: https://doi.org/10.1007/978-3-030-79508-5
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Introductory Remarks
Basics of Magnetic Field Theory and Magnetization
Dipole Potential Based Magnetometry
Inverse Magnetometry
Multi-Scale Inverse Mollifier Magnetometry
Test Demonstrations
Concluding Remarks
Introductory Remarks
Basics of Magnetic Field Theory and Magnetization
Dipole Potential Based Magnetometry
4.

電子ブック
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4. Decorrelative Mollifier Gravimetry : Basics, Ideas, Concepts, and Examples. 1st ed. 2021
by Willi Freeden
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Geosystems Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-69909-3
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目次情報: 続きを見る
Introductory Remarks
Part I: Gravitation and Gravimetry
Gravitation
Gravimetry
Part II: Potential Theory
Classical Context
Newton-Haar Mollifier Theory and Application
Disturbing Potential
Part III: Surface Decorrelation
Space versus Frequency Surface Modeling
Surface Applications
Part IV: Inverse Potential Theory
Gravimetry as an Ill-Posed Inverse Problem
Part V: Volume Decorrelation
Volume Methodology
Volume Applications
Part VI: Decorrelative Potential Methods
Decorrelative Monopole Potential Based Gravimetry
Decorrelative Dipole Potential Based Magnetometry
Decorrelative Acoustic Potential Based Exploration
Decorrelative Elastic Potential Based Exploration
Concluding Remarks
Introductory Remarks
Part I: Gravitation and Gravimetry
Gravitation