Foundations of Geophysical Electromagnetic Theory and Methods /

Annotation

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zhdanov, Michael S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Saint Louis : Elsevier Science, 2017.
Edición:2nd ed.
Colección:Methods in geochemistry and geophysics.
Temas:
Magnetic prospecting.
Electromagnetic measurements.
Prospection magn�etique.
Mesures �electromagn�etiques.
magnetic surveying.
SCIENCE > Earth Sciences > General.
SCIENCE > Physics > Geophysics.
Electromagnetic measurements
Magnetic prospecting
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 �a#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 theorem1.2.4 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

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