Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods

— —

Willi Freeden M. Zuhair Nashed

Handbook of Mathematical Geodesy

Functional Analytic and Potential Theoretic Methods

Willi Freeden, M. Zuhair Nashed

$354.95 $284.08

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Birkhauser Verlag AG
22 June 2018

Applied mathematics; Geodesy & surveying for maps & charts

Series: Geosystems Mathematics

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.

Edited by: Willi Freeden, M. Zuhair Nashed
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 1st ed. 2017
Dimensions: Height: 235mm, Width: 155mm,
Weight: 1.580kg
ISBN: 9783319571799
ISBN 10: 3319571796
Series: Geosystems Mathematics
Pages: 932
Publication Date: 22 June 2018
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Introduction.- Gauss as Scientific Mediator between Mathematics and Geodesy from the Past to the Present.- An Overview on Tools from Functional Analysis.- Operator-Theoretic and Regularization Approaches to Ill-Posed Problems.- Geodetic Observables and Their Mathematical Treatment in Multiscale Framework.- The Analysis of Geodetic Boundary Value Problem: State and Perspectives.- Oblique Stochastic Boundary Value Problem.- About the Importance of the Runge-Walsh Concept for Gravitational Field Determination.- Geomathematical Advances in Satellite Gravity Gradiometry.- Parameter Choices for Fast Harmonic Spline Approximation.- Gravimetry as an Ill-Posed Problem in Mathematical Geodesy.- Gravimetry and Exploration.- On the Non-Uniqueness of Gravitational and Magnetic Field Data Inversion.- Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods.- Spherical Potential Theory: Tools and Applications.- A combination of Downward Continuation and LocalApproximation for Harmonic Potentials.- Joint Inversion of Multiple Observation.

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 for Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods

“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)