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The Resource Handbook of Geomathematics, edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar, (electronic resource)
Handbook of Geomathematics, edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar, (electronic resource)
Resource Information
The item Handbook of Geomathematics, edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Handbook of Geomathematics, edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 During the last three decades geosciences and geoengineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as space borne data of better and better quality explain the strong need of new mathematical structures, tools and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook of Geomathematics’ deals with the qualitative and quantitative properties for the current and possible structures of the system Earth. As a central reference work it comprises the following geoscientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic and operatortheoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives
 Language

 eng
 eng
 Edition
 2nd ed. 2015.
 Extent
 1 online resource (778 illus., 523 illus. in color. eReference.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Part 1: General Issues, Historical Background, and Future Perspectives
 Geomathematics: Its Role, Its Aim, and Its Potential
 Navigation on Sea: Topics in the History of Geomathematics
 Gauss and Weber’s “Atlas des Erdmagnetismus” (1840) Was Not the First: History of the Geomagnetic Atlases
 Part 2: Observational and Measurement Key Technologies
 Earth Observation Satellite Missions and Data Access
 SatellitetoSatellite Tracking (LowLow/HighLow SST)
 GOCE: Gravitational Gradiometry in a Satellite
 Sources of the Geomagnetic Field and the Modern Data That Enable Their Investigation
 Part 3: Modeling of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthroposphere)
 Classical Physical Geodesy
 Geodetic Boundary Value Problem
 TimeVariable Gravity Field and Global Deformation of the Earth
 Satellite Gravity Gradiometry (SGG): From Scalar to Tensorial Solution
 Spacetime Modelling of the Earth’s Gravity Field by Ellipsoidal Harmonics
 Multiresolution Analysis of Hydrology and Satellite Gravitational Data Time Varying Mean Sea Level
 SelfAttraction and Loading of Oceanic Masses
 Unstructured Meshes in LargeScale Ocean Modeling. Numerical Methods in Support of Advanced Tsunami Early Warning
 Gravitational Viscoelastodynamics
 Elastic and Viscoelastic Reaction of the Lithosphere to Loads
 Use of Multiscale Methods in Geomathematics
 Efficient Modeling of Flow and Transport in Porous Media Using
 Multiphysics and Multiscale Approaches
 Convection Structures of Binary Fluid Mixtures in Porous Media
 Numerical Dynamo Simulations: From Basic Concepts to Realistic Models
 Mathematical Properties Relevant to Geomagnetic Field Modeling
 Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents
 Toroidal  Poloidal Decompositions of Electromagnetic Green's Functions in Geomagnetic Induction
 Using BSpline Expansions for Ionosphere Modeling
 The Forward and Adjoint Methods of Global Electromagnetic Induction for CHAMP Magnetic Data
 Climate Dynamics
 Modern Techniques for Numerical Weather Prediction: A Picture Drawn from Kyrill
 Radio Occultation via Satellites
 Asymptotic Models for Atmospheric Flows
 Stokes Problem, Layer Potentials and Regularizations, Multiscale Applications
 On High Reynolds Number Aerodynamics  Separated Flows.Turbulence Theory
 Analysis of Forest Fire Spreading Theory
 Phosphorus Cycles in Lakes and Rivers: Modeling, Analysis, and Simulation
 Modelbased Visualization of Instationary GeoData with Application to Volcano Ash Data
 Modeling of Fluid Transport in Geothermal Research
 Fractional Diffusion and Wave Propagation
 Modeling Deep Geothermal Reservoirs: Recent Advances and Future Problems
 Part 4: Analytic, Algebraic, and Operator Theoretical Methods
 Noise Models for IllPosed Problems
 Sparsity in Inverse Geophysical Problems
 Multiparameter Regularization in Downward Continuation of Satellite Data
 Evaluation of Parameter Choice Methods for Regularization of IllPosed Problems in Geomathematics
 Quantitative Remote Sensing Inversion in Earth Science: Theory and Numerical Treatment
 Correlation Modeling of the Gravity Field in Classical Geodesy
 Inverse Resistivity Problems in Computational Geoscience
 Identification of Current Sources in 3D Electrostatics
 Numerical Simulation and Inversion for GeoElectromagnetic Methods
 Transmission Tomography in Seismology
 Numerical Algorithms for NonSmooth Optimization Applicable to Seismic Recovery
 Strategies in Adjoint Tomography
 Potentialfield Estimation using Scalar and Vector Slepian Functions at Satellite Altitude
 Multidimensional Seismic Compression by Hybrid Transform with Multiscale Based Coding Tomography: Problems and Multiscale Solutions
 RFMP: An Iterative Best Basis Algorithm for Inverse Problems in the Geosciences
 Material Behavior: Texture and Anisotropy
 Rayleigh Wave Dispersive Properties of a Vector Displacement as a Tool for P and Swave Velocities Near Surface Profiling
 Dynamic Simulation of Land Use Change and Management Effects on Soil N2O Emissions
 Part 5: Statistical and Stochastic Methods
 Selected Statistical Methods
 Statistical Analysis of Climate Series
 Oblique Stochastic BoundaryValue Problem
 Geodetic Deformation Analysis with Respect to an Extended Uncertainty Budget)
 It's All About Statistics Global Gravity Field Modeling from GOCE and Complementary Data
 Mixed Integer Estimation and Validation for Next Generation GNSS
 Mixed Integer Linear Models
 Part 6: Special Function Systems and Methods
 Special Functions in Mathematical Geosciences: An Attempt at a Categorization
 Clifford Analysis and Harmonic Polynomials
 Splines and Wavelets on Geophysically Relevant Manifolds
 Slepian Functions and Their Use in Signal Estimation and Spectral Analysis
 Dimension Reduction and Remote Sensing Using Modern Harmonic Analysis
 Low Discrepancy Methods
 Part 7: Computational and Numerical Methods
 Radial Basis Functiongenerated Finite Differences: A Meshfree Method for Computational Geosciences
 Numerical Integration on the Sphere
 Fast Spherical/Harmonic Spline Modeling
 Multiscale Approximation
 Sparse Solutions of Underdetermined Linear Systems
 Nonlinear Methods for Dimensionality Reduction
 Part 8: Cartographic, Photogrammetric, Information Systems and Methods
 Cartography
 Map Projections: Cartographic Information Systems
 Modeling Uncertainty of Complex Earth Systems in Metric Space
 Geometrical Reference System
 Analysis of Data from MultiSatellite Geospace Missions
 Geodetic World Height System Unification
 Mathematical Foundations of Photogrammetry
 Potential Methods and Geoinformation Systems
 Geoinformatics
 Isbn
 9783642545511
 Label
 Handbook of Geomathematics
 Title
 Handbook of Geomathematics
 Statement of responsibility
 edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar
 Language

 eng
 eng
 Summary
 During the last three decades geosciences and geoengineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as space borne data of better and better quality explain the strong need of new mathematical structures, tools and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook of Geomathematics’ deals with the qualitative and quantitative properties for the current and possible structures of the system Earth. As a central reference work it comprises the following geoscientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic and operatortheoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives
 Dewey number
 510
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 ULjYndiohdg
 r2djoI6cHvE
 KWDPDgjGW54
 Image bit depth
 0
 Language note
 English
 LC call number
 QA1939
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Freeden, Willi.
 Nashed, M. Zuhair.
 Sonar, Thomas.
 http://library.link/vocab/subjectName

 Mathematics
 Geography
 Mathematics, general
 Earth Sciences, general
 Label
 Handbook of Geomathematics, edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Part 1: General Issues, Historical Background, and Future Perspectives  Geomathematics: Its Role, Its Aim, and Its Potential  Navigation on Sea: Topics in the History of Geomathematics  Gauss and Weber’s “Atlas des Erdmagnetismus” (1840) Was Not the First: History of the Geomagnetic Atlases  Part 2: Observational and Measurement Key Technologies  Earth Observation Satellite Missions and Data Access  SatellitetoSatellite Tracking (LowLow/HighLow SST)  GOCE: Gravitational Gradiometry in a Satellite  Sources of the Geomagnetic Field and the Modern Data That Enable Their Investigation  Part 3: Modeling of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthroposphere)  Classical Physical Geodesy  Geodetic Boundary Value Problem  TimeVariable Gravity Field and Global Deformation of the Earth  Satellite Gravity Gradiometry (SGG): From Scalar to Tensorial Solution  Spacetime Modelling of the Earth’s Gravity Field by Ellipsoidal Harmonics  Multiresolution Analysis of Hydrology and Satellite Gravitational Data Time Varying Mean Sea Level  SelfAttraction and Loading of Oceanic Masses  Unstructured Meshes in LargeScale Ocean Modeling. Numerical Methods in Support of Advanced Tsunami Early Warning  Gravitational Viscoelastodynamics  Elastic and Viscoelastic Reaction of the Lithosphere to Loads  Use of Multiscale Methods in Geomathematics  Efficient Modeling of Flow and Transport in Porous Media Using  Multiphysics and Multiscale Approaches  Convection Structures of Binary Fluid Mixtures in Porous Media  Numerical Dynamo Simulations: From Basic Concepts to Realistic Models  Mathematical Properties Relevant to Geomagnetic Field Modeling  Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents  Toroidal  Poloidal Decompositions of Electromagnetic Green's Functions in Geomagnetic Induction  Using BSpline Expansions for Ionosphere Modeling  The Forward and Adjoint Methods of Global Electromagnetic Induction for CHAMP Magnetic Data  Climate Dynamics  Modern Techniques for Numerical Weather Prediction: A Picture Drawn from Kyrill  Radio Occultation via Satellites  Asymptotic Models for Atmospheric Flows  Stokes Problem, Layer Potentials and Regularizations, Multiscale Applications  On High Reynolds Number Aerodynamics  Separated Flows.Turbulence Theory  Analysis of Forest Fire Spreading Theory  Phosphorus Cycles in Lakes and Rivers: Modeling, Analysis, and Simulation  Modelbased Visualization of Instationary GeoData with Application to Volcano Ash Data  Modeling of Fluid Transport in Geothermal Research  Fractional Diffusion and Wave Propagation  Modeling Deep Geothermal Reservoirs: Recent Advances and Future Problems  Part 4: Analytic, Algebraic, and Operator Theoretical Methods  Noise Models for IllPosed Problems  Sparsity in Inverse Geophysical Problems  Multiparameter Regularization in Downward Continuation of Satellite Data  Evaluation of Parameter Choice Methods for Regularization of IllPosed Problems in Geomathematics  Quantitative Remote Sensing Inversion in Earth Science: Theory and Numerical Treatment  Correlation Modeling of the Gravity Field in Classical Geodesy  Inverse Resistivity Problems in Computational Geoscience  Identification of Current Sources in 3D Electrostatics  Numerical Simulation and Inversion for GeoElectromagnetic Methods  Transmission Tomography in Seismology  Numerical Algorithms for NonSmooth Optimization Applicable to Seismic Recovery  Strategies in Adjoint Tomography  Potentialfield Estimation using Scalar and Vector Slepian Functions at Satellite Altitude  Multidimensional Seismic Compression by Hybrid Transform with Multiscale Based Coding Tomography: Problems and Multiscale Solutions  RFMP: An Iterative Best Basis Algorithm for Inverse Problems in the Geosciences  Material Behavior: Texture and Anisotropy  Rayleigh Wave Dispersive Properties of a Vector Displacement as a Tool for P and Swave Velocities Near Surface Profiling  Dynamic Simulation of Land Use Change and Management Effects on Soil N2O Emissions  Part 5: Statistical and Stochastic Methods  Selected Statistical Methods  Statistical Analysis of Climate Series  Oblique Stochastic BoundaryValue Problem  Geodetic Deformation Analysis with Respect to an Extended Uncertainty Budget)  It's All About Statistics Global Gravity Field Modeling from GOCE and Complementary Data  Mixed Integer Estimation and Validation for Next Generation GNSS  Mixed Integer Linear Models  Part 6: Special Function Systems and Methods  Special Functions in Mathematical Geosciences: An Attempt at a Categorization  Clifford Analysis and Harmonic Polynomials  Splines and Wavelets on Geophysically Relevant Manifolds  Slepian Functions and Their Use in Signal Estimation and Spectral Analysis  Dimension Reduction and Remote Sensing Using Modern Harmonic Analysis  Low Discrepancy Methods  Part 7: Computational and Numerical Methods  Radial Basis Functiongenerated Finite Differences: A Meshfree Method for Computational Geosciences  Numerical Integration on the Sphere  Fast Spherical/Harmonic Spline Modeling  Multiscale Approximation  Sparse Solutions of Underdetermined Linear Systems  Nonlinear Methods for Dimensionality Reduction  Part 8: Cartographic, Photogrammetric, Information Systems and Methods  Cartography  Map Projections: Cartographic Information Systems  Modeling Uncertainty of Complex Earth Systems in Metric Space  Geometrical Reference System  Analysis of Data from MultiSatellite Geospace Missions  Geodetic World Height System Unification  Mathematical Foundations of Photogrammetry  Potential Methods and Geoinformation Systems  Geoinformatics
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 1 online resource (778 illus., 523 illus. in color. eReference.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642545511
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642545511
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000499556
 (SSID)ssj0001585166
 (PQKBManifestationID)16265260
 (PQKBTitleCode)TC0001585166
 (PQKBWorkID)14865233
 (PQKB)10712626
 (DEHe213)9783642545511
 (EXLCZ)993710000000499556
 Label
 Handbook of Geomathematics, edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Part 1: General Issues, Historical Background, and Future Perspectives  Geomathematics: Its Role, Its Aim, and Its Potential  Navigation on Sea: Topics in the History of Geomathematics  Gauss and Weber’s “Atlas des Erdmagnetismus” (1840) Was Not the First: History of the Geomagnetic Atlases  Part 2: Observational and Measurement Key Technologies  Earth Observation Satellite Missions and Data Access  SatellitetoSatellite Tracking (LowLow/HighLow SST)  GOCE: Gravitational Gradiometry in a Satellite  Sources of the Geomagnetic Field and the Modern Data That Enable Their Investigation  Part 3: Modeling of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthroposphere)  Classical Physical Geodesy  Geodetic Boundary Value Problem  TimeVariable Gravity Field and Global Deformation of the Earth  Satellite Gravity Gradiometry (SGG): From Scalar to Tensorial Solution  Spacetime Modelling of the Earth’s Gravity Field by Ellipsoidal Harmonics  Multiresolution Analysis of Hydrology and Satellite Gravitational Data Time Varying Mean Sea Level  SelfAttraction and Loading of Oceanic Masses  Unstructured Meshes in LargeScale Ocean Modeling. Numerical Methods in Support of Advanced Tsunami Early Warning  Gravitational Viscoelastodynamics  Elastic and Viscoelastic Reaction of the Lithosphere to Loads  Use of Multiscale Methods in Geomathematics  Efficient Modeling of Flow and Transport in Porous Media Using  Multiphysics and Multiscale Approaches  Convection Structures of Binary Fluid Mixtures in Porous Media  Numerical Dynamo Simulations: From Basic Concepts to Realistic Models  Mathematical Properties Relevant to Geomagnetic Field Modeling  Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents  Toroidal  Poloidal Decompositions of Electromagnetic Green's Functions in Geomagnetic Induction  Using BSpline Expansions for Ionosphere Modeling  The Forward and Adjoint Methods of Global Electromagnetic Induction for CHAMP Magnetic Data  Climate Dynamics  Modern Techniques for Numerical Weather Prediction: A Picture Drawn from Kyrill  Radio Occultation via Satellites  Asymptotic Models for Atmospheric Flows  Stokes Problem, Layer Potentials and Regularizations, Multiscale Applications  On High Reynolds Number Aerodynamics  Separated Flows.Turbulence Theory  Analysis of Forest Fire Spreading Theory  Phosphorus Cycles in Lakes and Rivers: Modeling, Analysis, and Simulation  Modelbased Visualization of Instationary GeoData with Application to Volcano Ash Data  Modeling of Fluid Transport in Geothermal Research  Fractional Diffusion and Wave Propagation  Modeling Deep Geothermal Reservoirs: Recent Advances and Future Problems  Part 4: Analytic, Algebraic, and Operator Theoretical Methods  Noise Models for IllPosed Problems  Sparsity in Inverse Geophysical Problems  Multiparameter Regularization in Downward Continuation of Satellite Data  Evaluation of Parameter Choice Methods for Regularization of IllPosed Problems in Geomathematics  Quantitative Remote Sensing Inversion in Earth Science: Theory and Numerical Treatment  Correlation Modeling of the Gravity Field in Classical Geodesy  Inverse Resistivity Problems in Computational Geoscience  Identification of Current Sources in 3D Electrostatics  Numerical Simulation and Inversion for GeoElectromagnetic Methods  Transmission Tomography in Seismology  Numerical Algorithms for NonSmooth Optimization Applicable to Seismic Recovery  Strategies in Adjoint Tomography  Potentialfield Estimation using Scalar and Vector Slepian Functions at Satellite Altitude  Multidimensional Seismic Compression by Hybrid Transform with Multiscale Based Coding Tomography: Problems and Multiscale Solutions  RFMP: An Iterative Best Basis Algorithm for Inverse Problems in the Geosciences  Material Behavior: Texture and Anisotropy  Rayleigh Wave Dispersive Properties of a Vector Displacement as a Tool for P and Swave Velocities Near Surface Profiling  Dynamic Simulation of Land Use Change and Management Effects on Soil N2O Emissions  Part 5: Statistical and Stochastic Methods  Selected Statistical Methods  Statistical Analysis of Climate Series  Oblique Stochastic BoundaryValue Problem  Geodetic Deformation Analysis with Respect to an Extended Uncertainty Budget)  It's All About Statistics Global Gravity Field Modeling from GOCE and Complementary Data  Mixed Integer Estimation and Validation for Next Generation GNSS  Mixed Integer Linear Models  Part 6: Special Function Systems and Methods  Special Functions in Mathematical Geosciences: An Attempt at a Categorization  Clifford Analysis and Harmonic Polynomials  Splines and Wavelets on Geophysically Relevant Manifolds  Slepian Functions and Their Use in Signal Estimation and Spectral Analysis  Dimension Reduction and Remote Sensing Using Modern Harmonic Analysis  Low Discrepancy Methods  Part 7: Computational and Numerical Methods  Radial Basis Functiongenerated Finite Differences: A Meshfree Method for Computational Geosciences  Numerical Integration on the Sphere  Fast Spherical/Harmonic Spline Modeling  Multiscale Approximation  Sparse Solutions of Underdetermined Linear Systems  Nonlinear Methods for Dimensionality Reduction  Part 8: Cartographic, Photogrammetric, Information Systems and Methods  Cartography  Map Projections: Cartographic Information Systems  Modeling Uncertainty of Complex Earth Systems in Metric Space  Geometrical Reference System  Analysis of Data from MultiSatellite Geospace Missions  Geodetic World Height System Unification  Mathematical Foundations of Photogrammetry  Potential Methods and Geoinformation Systems  Geoinformatics
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 1 online resource (778 illus., 523 illus. in color. eReference.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642545511
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642545511
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000499556
 (SSID)ssj0001585166
 (PQKBManifestationID)16265260
 (PQKBTitleCode)TC0001585166
 (PQKBWorkID)14865233
 (PQKB)10712626
 (DEHe213)9783642545511
 (EXLCZ)993710000000499556
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/HandbookofGeomathematicseditedbyWilli/Yk6RDUcy7vs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/HandbookofGeomathematicseditedbyWilli/Yk6RDUcy7vs/">Handbook of Geomathematics, edited by Willi Freeden, M. Zuhair Nashed, Thomas Sonar, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>