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  • © 2009

Spherical Functions of Mathematical Geosciences

A Scalar, Vectorial, and Tensorial Setup

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XV
  2. Introduction

    • Willi Freeden, Michael Schreiner
    Pages 1-18
  3. Basic Settings and Spherical Nomenclature

    • Willi Freeden, Michael Schreiner
    Pages 19-56
  4. Scalar Spherical Harmonics

    • Willi Freeden, Michael Schreiner
    Pages 57-158
  5. Green’s Functions and Integral Formulas

    • Willi Freeden, Michael Schreiner
    Pages 159-200
  6. Vector Spherical Harmonics

    • Willi Freeden, Michael Schreiner
    Pages 201-271
  7. Tensor Spherical Harmonics

    • Willi Freeden, Michael Schreiner
    Pages 273-337
  8. Scalar Zonal Kernel Functions

    • Willi Freeden, Michael Schreiner
    Pages 339-387
  9. Vector Zonal Kernel Functions

    • Willi Freeden, Michael Schreiner
    Pages 389-403
  10. Tensorial Zonal Kernel Functions

    • Willi Freeden, Michael Schreiner
    Pages 405-415
  11. Zonal Function Modeling of Earth’s Mass Distribution

    • Willi Freeden, Michael Schreiner
    Pages 417-569
  12. Back Matter

    Pages 571-602

Reviews

From the reviews:

"This book concentrates the introduction of mathematical representation of spherical vector and tensor fields. Vector/tensor spherical harmonics are used throughout mathematics. This book is a valuable reference for scientists and practitioners when facing spherical problems." (Chengshu Wang, Zentralblatt MATH, Vol. 1167, 2009)

Authors and Affiliations

  • TU Kaiserslautern Geomathematics Group Erwin – Schrödinger – Strasse, Germany

    Willi Freeden

  • University of Buchs NTB Laboratory for Industrial Mathematics, Switzerland

    Michael Schreiner

About the authors

Willi Freeden born in 1948 in Kaldenkirchen/Germany, Studies in Mathematics, Geography, and Philosophy at the RWTH Aachen, 1971 ‘Diplom’ in Mathematics, 1972 ‘Staatsexamen’ in Mathematics and Geography, 1975 PhD in Mathematics, 1979 ‘Habilitation’ in Mathematics, 1981/1982 Visiting Research Professor at the Ohio State University, Columbus (Department of Geodetic Sciences and Surveying), 1984 Professor of Mathematics at the RWTH Aachen (Institute of Pure and Applied Mathematics), 1989 Professor of Technomathematics, 1994 Head of the Geomathematics Group, 2002-2006 Vice-president for Research and Technology at the University of Kaiserslautern.

Michael Schreiner born in 1966 in Mertesheim/Germany, Studies in Industrial Mathematics, Mechanical Engineering, and Computer Science at the University of Kaiserslautern, 1991 ‘Diplom’ in Industrial Mathematics, 1994 PhD in Mathematics, 2004 ‘Habilitation’ in Mathematics. 1997–2001 researcher and project leader at the Hilti Corp. Schaan, Liechtenstein, 2002 Professor for Industrial Mathematics at the University of Buchs NTB, Buchs, Switzerland. 2004 Head of the Department of Mathematics of the University of Buchs, 2004 also Lecturer at the University of Kaiserslautern.

Bibliographic Information

Buy it now

Buying options

eBook USD 229.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access