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Geosystems Mathematics

Handbook of Mathematical Geodesy

Functional Analytic and Potential Theoretic Methods

Editors: Freeden, Willi, Nashed, M. Zuhair (Eds.)

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  • Shows how modern mathematics acts as a key technology in today’s geodesy
  • Bridges “real world” observational as well as satellite techniques and “virtual world” modeling as well as simulation
  • Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy
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eBook $109.00
price for USA in USD
  • ISBN 978-3-319-57181-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-57179-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-3-030-09622-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.

About the authors

Willi Freeden is Professor of Geomathematics at the Technical University of Kaiserslautern, Germany
Zuhair Nahed is Professor at the University of Central Florida, Orlando, USA

Reviews

“The Handbook of Mathematical Geodesy presents for the mathematicians a wealth of applications and for the geodesists a solid embedding of the fundamental concepts of physical geodesy into approximation theory.” (Karl-Rudolf Koch, Journal of Geodesy, Vol. 93, 2019)

“The Handbook of Mathematical Geodesy presents a remarkable achievement. The book bridges the gap between the abstract work of the mathematicians and the practically oriented measurements of the geodesists. … the book is broadly planned, and it presents the present state of knowledge.” (Karl-Rudolf Koch, International Journal on Geomathematics GEM, Vol. 10, 2019)


Table of contents (15 chapters)

Table of contents (15 chapters)
  • Gauss as Scientific Mediator Between Mathematics and Geodesy from the Past to the Present

    Pages 1-163

    Freeden, Willi (et al.)

  • An Overview on Tools from Functional Analysis

    Pages 165-199

    Augustin, Matthias (et al.)

  • Ill-Posed Problems: Operator Methodologies of Resolution and Regularization

    Pages 201-314

    Freeden, Willi (et al.)

  • Geodetic Observables and Their Mathematical Treatment in Multiscale Framework

    Pages 315-458

    Freeden, Willi (et al.)

  • The Analysis of the Geodetic Boundary Value Problem: State and Perspectives

    Pages 459-489

    Sansò, Fernando

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-319-57181-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-57179-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-3-030-09622-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Mathematical Geodesy
Book Subtitle
Functional Analytic and Potential Theoretic Methods
Editors
  • Willi Freeden
  • M. Zuhair Nashed
Series Title
Geosystems Mathematics
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-57181-2
DOI
10.1007/978-3-319-57181-2
Hardcover ISBN
978-3-319-57179-9
Softcover ISBN
978-3-030-09622-9
Series ISSN
2510-1544
Edition Number
1
Number of Pages
XIV, 932
Number of Illustrations
79 b/w illustrations, 76 illustrations in colour
Topics