Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods 1st ed. 2018 [Hardback]

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  • Formāts: Hardback, 932 pages, height x width: 235x155 mm, weight: 1580 g, 76 Illustrations, color; 79 Illustrations, black and white; XIV, 932 p. 155 illus., 76 illus. in color., 1 Hardback
  • Sērija : Geosystems Mathematics
  • Izdošanas datums: 08-Feb-2018
  • Izdevniecība: Birkhauser
  • ISBN-10: 3319571796
  • ISBN-13: 9783319571799
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  • Formāts: Hardback, 932 pages, height x width: 235x155 mm, weight: 1580 g, 76 Illustrations, color; 79 Illustrations, black and white; XIV, 932 p. 155 illus., 76 illus. in color., 1 Hardback
  • Sērija : Geosystems Mathematics
  • Izdošanas datums: 08-Feb-2018
  • Izdevniecība: Birkhauser
  • ISBN-10: 3319571796
  • ISBN-13: 9783319571799
Citas grāmatas par šo tēmu:
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.
Preface vii
Introduction ix
W. Freeden
Gauss as Scientific Mediator Between Mathematics and Geodesy from the Past to the Present
1(164)
W. Freeden
T. Sonar
B. Witte
An Overview on Tools from Functional Analysis
165(36)
M. Augustin
S. Eberle
M. Grothaus
IH-Posed Problems: Operator Methodologies of Resolution and Regularization
201(114)
W. Freeden
M.Z. Nashed
Geodetic Observables and Their Mathematical Treatment in Multiscale Framework
315(144)
W. Freeden
H. Nutz
The Analysis of the Geodetic Boundary Value Problem: State and Perspectives
459(32)
F. Sanso
Oblique Stochastic Boundary Value Problem
491(26)
M. Grothaus
T. Raskop
About the Importance of the Runge-Walsh Concept for Gravitational Field Determination
517(44)
M. Augustin
W. Freeden
H. Nutz
Geomathematical Advances in Satellite Gravity Gradiometry (SGG)
561(44)
W. Freeden
H. Nutz
M. Schreiner
Parameter Choices for Fast Harmonic Spline Approximation
605(36)
M. Gutting
Inverse Gravimetry as an Ill-Posed Problem in Mathematical Geodesy
641(46)
W. Freeden
M. Zuhair Nashed
Gravimetry and Exploration
687(66)
C. Blick
W. Freeden
H. Nutz
Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods
753(68)
W. Freeden
V. Michel
F.J. Simons
Spherical Potential Theory: Tools and Applications
821(34)
C. Gerhards
Joint Inversion of Multiple Observations
855(28)
C. Gerhards
S. Pereverzyev Jr.
P. Tkachenko
On the Non-Uniqueness of Gravitational and Magnetic Field Data Inversion (Survey Article)
883(38)
S. Leweke
V. Michel
R. Telschow
Index 921
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