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Editorial Reviews
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"...the book is an invaluable resource for the mathematical and physical background of geomagnetism." Marek Lewandowski, Pure and Applied Geophysics
"...the book flourishes as no other really can. Maxwell's equations are dealt with and close scrutiny is given to the various approximations used in geomagnetism... It develops spherical harmonics from the homogenous harmonic polynomials, a route not often taken...Guass' theory of the main field is then described, including internal and external separation and the downward continuation problem...Then comes probably the most comprehensive and unique exposition of the different decompositions of vector fields which are possible (those of Mie and Helmholtz) and of their application to different physical problems ranging from ohmic heating in the core to induction in the mantle...this book stands alone in terms of its mathematical rigor and completeness in treating exactly what it claims, the (mathematical) foundations of geomagnetism. I can highly recommend it to geophysicists as a reference work which will attain considerable longevity." EOS
Product Description
The main magnetic field of the Earth is a complex physical phenomenon. This book presents in detail the foundations of geomagnetism, developed from first principles. The book starts with an overview of the phenomena of interest in geomagnetism, and then goes on to deal with the phenomena in detail, building the necessary techniques in a thorough and consistent manner. Students and researchers will find this book to be an invaluable resource in the appreciation of the mathematical and physical foundations of geomagnetism.
See all Editorial Reviews
"...the book is an invaluable resource for the mathematical and physical background of geomagnetism." Marek Lewandowski, Pure and Applied Geophysics
"...the book flourishes as no other really can. Maxwell's equations are dealt with and close scrutiny is given to the various approximations used in geomagnetism... It develops spherical harmonics from the homogenous harmonic polynomials, a route not often taken...Guass' theory of the main field is then described, including internal and external separation and the downward continuation problem...Then comes probably the most comprehensive and unique exposition of the different decompositions of vector fields which are possible (those of Mie and Helmholtz) and of their application to different physical problems ranging from ohmic heating in the core to induction in the mantle...this book stands alone in terms of its mathematical rigor and completeness in treating exactly what it claims, the (mathematical) foundations of geomagnetism. I can highly recommend it to geophysicists as a reference work which will attain considerable longevity." EOS
Product Description
The main magnetic field of the Earth is a complex physical phenomenon. This book presents in detail the foundations of geomagnetism, developed from first principles. The book starts with an overview of the phenomena of interest in geomagnetism, and then goes on to deal with the phenomena in detail, building the necessary techniques in a thorough and consistent manner. Students and researchers will find this book to be an invaluable resource in the appreciation of the mathematical and physical foundations of geomagnetism.
See all Editorial Reviews
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Inside This Book
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First Sentence:
In this chapter we go on a whirlwind tour of the subject matter of geomagnetism. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
scalar linear operators, vector linear operators, poloidal scalar, nondipole field, dynamo equation, antidynamo theorem, disk dynamo, main geomagnetic field, other orthonormal basis, surface curl, toroidal part, differentiable scalar fields, dynamo problem, kinematic dynamos, one orthonormal basis, ohmic conductor, poloidal field, observatory data, magnetic diffusivity, solenoidal field, toroidal field, tangent vector field, harmonic polynomials, toroidal magnetic field, dynamo action Key Phrases - Capitalized Phrases (CAPs): (learn more)
Spherical Harmonic Addition Theorem, Cowling's Theorem, Helmholtz's Theorem, Weierstrass Approximation Theorem, Pacific Ocean New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this chapter we go on a whirlwind tour of the subject matter of geomagnetism. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
scalar linear operators, vector linear operators, poloidal scalar, nondipole field, dynamo equation, antidynamo theorem, disk dynamo, main geomagnetic field, other orthonormal basis, surface curl, toroidal part, differentiable scalar fields, dynamo problem, kinematic dynamos, one orthonormal basis, ohmic conductor, poloidal field, observatory data, magnetic diffusivity, solenoidal field, toroidal field, tangent vector field, harmonic polynomials, toroidal magnetic field, dynamo action Key Phrases - Capitalized Phrases (CAPs): (learn more)
Spherical Harmonic Addition Theorem, Cowling's Theorem, Helmholtz's Theorem, Weierstrass Approximation Theorem, Pacific Ocean New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
See all 30 books this book cites
7
books
cite this book:
See all 7 books citing this book
- Ordinary Differential Equations (Modular Mathematics Series) by William Cox in Back Matter
- The Science of Electricity & Magnetism: Projects and Experiments with Electricity and Magnets (Tabletop Scientist) by Steve Parker in Back Matter
- Spectral Analysis and Time Series. Volumes I and II in 1 book. (Probability and Mathematical Statistics) by M. B. Priestley in Back Matter
- Applied Geophysics by W. M. Telford in Back Matter
- Handbook of Physical Constants by Sydney P., Jr Clark in Back Matter
See all 30 books this book cites
- Multiscale Potential Theory by Willi Freeden in Back Matter
- Earth Observation with CHAMP: Results from Three Years in Orbit by Christoph Reigber on page 298
- Stellar Astrophysical Fluid Dynamics by Michael J. Thompson on page 175
- Earth's Core and Lower Mantle (Fluid Mechanics of Astrophysics and Geophysics, V.11) by C.A. Jones on page 126
- Theoretical Global Seismology by F. A. Dahlen in Back Matter
See all 7 books citing this book
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