Foundations of Geophysical Electromagnetic Theory and Methods.
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| Author / Creator: | Zhdanov, Michael S. |
|---|---|
| Edition: | 2nd ed. |
| Imprint: | Saint Louis : Elsevier Science, 2017. |
| Description: | 1 online resource (806 pages). |
| Language: | English |
| Series: | Methods in Geochemistry and Geophysics ; v. Volume 43 Methods in geochemistry and geophysics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11361813 |
Table of Contents:
- ""Front Cover""; ""Foundations of Geophysical Electromagnetic Theory and Methods""; ""Copyright""; ""Contents""; ""Preface to the Second Edition""; ""Preface""; ""Introduction""; "" References and Recommended Reading to Introduction""; ""Part 1 Introduction to Field Theory""; ""1 Differential Calculus of Vector Fields and Differential Forms""; ""1.1 The Basic Differential Relationships of Field Theory""; ""1.1.1 Concept of the Physical Field""; ""1.1.2 Dot (Scalar) and Cross (Vector) Products of Vectors""; ""1.1.3 Vector Differential Operators""; "" Gradient of a scalar eld""
- "" Divergence and curl (rotation) of the vector eld"""" The del operator â#x88;#x87;""; "" Second derivatives of the scalar and vector elds""; ""1.1.4 Differentiation of the Products of Scalar and Vector Fields""; ""1.2 The Basic Integral Relationships of Field Theory""; ""1.2.1 Concept of Work and Flux of a Field""; ""1.2.2 Gauss's Theorem and Its Vector Formulations""; "" 1st vector form of Gauss's theorem""; "" 2nd vector form of Gauss's theorem""; "" 3rd vector form of Gauss's theorem""; ""1.2.3 Stokes's Theorem and Its Vector Formulations""; "" 1st vector form of Stokes's theorem""
- "" 2nd vector form of Stokes's theorem""""1.2.4 Green's Formulas""; "" 1st Green's formula""; "" 2nd Green's formula""; "" 3rd Green's formula""; ""1.3 Differential Forms in Field Theory""; ""1.3.1 Concept of the Differential Form""; ""1.3.2 Exterior (Wedge) Product of the Linear Forms""; ""1.3.3 Canonical Representations of the Differential Forms in Three-Dimensional Euclidean Space""; ""1.3.4 The Exterior Derivative""; "" 0-forms""; "" 1-forms""; "" 2-forms""; "" 3-forms""; "" References and Recommended Reading to Chapter 1""; ""2 Foundations of Field Theory""; ""2.1 Field Generation""
- ""2.1.1 Harmonic Functions Liouville's Theorem""; ""2.1.2 Uniqueness of Determination of the Scalar Field by Its Gradient and the Vector Field by Its Divergence and Curl""; "" Determination of the scalar eld by its gradient""; "" Determination of the vector eld by its divergence and curl""; ""2.1.3 Field Generation Conditions""; ""2.1.4 Sources of the Field and Their Physical Meaning""; ""2.1.5 Vortices of the Field and Their Physical Meaning""; ""2.1.6 Source Field and Vortex Field""; ""2.2 Stationary Field Equations and Methods of Their Solutions""
- ""2.2.1 Poisson's Equations for Scalar and Vector Fields"""" Scalar eld equations""; "" Vector eld equations""; ""2.2.2 Point Source; Dirac Singular Function""; ""2.2.3 Fundamental Green's Function for the Laplace Equation""; "" Solution of the scalar eld equations""; "" Solution of the vector eld equations""; ""2.3 Scalar and Vector Potentials of the Stationary Field""; ""2.3.1 Scalar Potential of the Source Field""; ""2.3.2 Vector Potential of the Vortex Field""; ""2.3.3 Helmholtz Theorem and Classi cation of the Vector Fields""; ""2.4 Nonstationary Fields and Differential Forms""