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专著推介——Potential Theory in Applied Geophysics
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好偶然的机会竟然在学校图书馆看到一个关于势理论的书里面涉及到很多关于地球重力势的介绍，正在研读中，也推荐给感兴趣的诸位
（翻译是自己做得，不很到位，勿怪）
Potential Theory in Applied Geophysics
作者：Kalyan Kumar Roy
由 Springer出版的关于地球物理学方面势场理论的专著，08年出版
本书大概内容为
1,Elements of Vector Analysis（矢量分析的一些基本要素）
1.1 Scalar&Vector标量与矢量
1.2 Properties of Vector 矢量的特性
1.3 Gradient of a Scalar 标量的梯度 (?)
1.4 Divergence of a Vector 矢量的散度
1.5 Surface Integral 曲面积分
1.6 Gauss's Divergence Theorem 高斯散度定理
1.7 Line Integral 曲线积分
1.8 Curl of a Vector 矢量的旋度
1.9 Line Integral in a Plane(Stoke's Theorem) 平面上的曲线积分（斯托克定理）
1.10 Successive Application of the Operator Delta（微分算子的成功应用）
1.11 Important Relationship in Vector Algebra 矢量代数中的重要关系
2,Introductory of Remarks
2.1 Field of Force 力场
2.2 Classification of Fields 场的分类
2.3 Concept of Potential 场势的定义
2.4 Field Mapping 场的作图
2.5 Nature of a Solid Medium
2.6 Tensors 张量
2.7 Boundary Value Problems 边值问题
2.8 Dimension of a Problem and its Solvability
2.9 Equations
2.10 Domain of Geophysics in Potential Theory
3, Gravitational Portential Field
3.1 Introduction
3.2 Newton's Law of Gravitation 牛顿重力定理
3.3 Gravity Field at a Point due to Number of Point Sources 由点源数量决定的某点处的重力场
3.4 Gravitational Field for a Large Body 大物体的引力场
3.5 Gravitational Field due to a line Sources 由线源决定的引力场
3.6 Gravitational Potential due to a Finite Line Sources 有限线源决定的引力势
3.7 Gravitational Attraction due to a Buried Cylinder 大圆柱体决定的引力
3.8 Gravitational Field due to a Plane Sheet 平面层决定的引力场
3.9 Gravitational Field due to a Circular Plate 圆盘层决定的引力场
3.10 Gravity Field at a Point Outside on the Axis of a Vertical
Cylinder 大圆柱外垂直与其轴的点处的重力场
3.11 Gravitational Potential at a Ponit due to a Spherical Body 一点处球体决定的引力势
3.12 Gravitational Attraction on the Surface due to a Buried Sphere 大球体决定的表面引力
3.13 Gravitational Anomaly due to a Body of Trapezoidal Cross Section 截面为梯形的物体的引力异常
3.14 Gravity Field of the Earth 地球重力场
3.15 Units
3.16 Basic Equation
4，Electrostatics 静电学
5，Magnetostatics 静磁学
6，Direct Current Flow Field 直流流场
7，Solution of Laplace Equation 拉普拉斯方程的解
8，Direct Current Field Related Potential Problems 直流场相关的势问题
9，Complex Variables and Conformal Transformation in Potential Theory 势理论中的复杂变量和保角变换
10 Green's Theorem in Potential Theory 势理论中的格林定理
11 Electrical Images in Potential Theory 势理论中的电子图像
12 Electromagnetic Theory(Vector Potential) 静电学理论（矢量势）
13 Electromagnetic Wave Propagation Problems Related to Geophysics 与地球物理相关的静电波传播问题
14 Green's Function 格林函数
15 Numberical Methods in Potential Theory 势理论的数值方法
16 Analytical Continuation of Potential Field
17 Inversion of Potential Field Data
References
List of Symbols
Index
读书荐书
https://blog.sciencenet.cn/blog-4618-221261.html
上一篇：综述性课程的学习方法
下一篇：几张自己认为比较有感觉的照片
（翻译是自己做得，不很到位，勿怪）
Potential Theory in Applied Geophysics
作者：Kalyan Kumar Roy
由 Springer出版的关于地球物理学方面势场理论的专著，08年出版
本书大概内容为
1,Elements of Vector Analysis（矢量分析的一些基本要素）
1.1 Scalar&Vector标量与矢量
1.2 Properties of Vector 矢量的特性
1.3 Gradient of a Scalar 标量的梯度 (?)
1.4 Divergence of a Vector 矢量的散度
1.5 Surface Integral 曲面积分
1.6 Gauss's Divergence Theorem 高斯散度定理
1.7 Line Integral 曲线积分
1.8 Curl of a Vector 矢量的旋度
1.9 Line Integral in a Plane(Stoke's Theorem) 平面上的曲线积分（斯托克定理）
1.10 Successive Application of the Operator Delta（微分算子的成功应用）
1.11 Important Relationship in Vector Algebra 矢量代数中的重要关系
2,Introductory of Remarks
2.1 Field of Force 力场
2.2 Classification of Fields 场的分类
2.3 Concept of Potential 场势的定义
2.4 Field Mapping 场的作图
2.5 Nature of a Solid Medium
2.6 Tensors 张量
2.7 Boundary Value Problems 边值问题
2.8 Dimension of a Problem and its Solvability
2.9 Equations
2.10 Domain of Geophysics in Potential Theory
3, Gravitational Portential Field
3.1 Introduction
3.2 Newton's Law of Gravitation 牛顿重力定理
3.3 Gravity Field at a Point due to Number of Point Sources 由点源数量决定的某点处的重力场
3.4 Gravitational Field for a Large Body 大物体的引力场
3.5 Gravitational Field due to a line Sources 由线源决定的引力场
3.6 Gravitational Potential due to a Finite Line Sources 有限线源决定的引力势
3.7 Gravitational Attraction due to a Buried Cylinder 大圆柱体决定的引力
3.8 Gravitational Field due to a Plane Sheet 平面层决定的引力场
3.9 Gravitational Field due to a Circular Plate 圆盘层决定的引力场
3.10 Gravity Field at a Point Outside on the Axis of a Vertical
Cylinder 大圆柱外垂直与其轴的点处的重力场
3.11 Gravitational Potential at a Ponit due to a Spherical Body 一点处球体决定的引力势
3.12 Gravitational Attraction on the Surface due to a Buried Sphere 大球体决定的表面引力
3.13 Gravitational Anomaly due to a Body of Trapezoidal Cross Section 截面为梯形的物体的引力异常
3.14 Gravity Field of the Earth 地球重力场
3.15 Units
3.16 Basic Equation
4，Electrostatics 静电学
5，Magnetostatics 静磁学
6，Direct Current Flow Field 直流流场
7，Solution of Laplace Equation 拉普拉斯方程的解
8，Direct Current Field Related Potential Problems 直流场相关的势问题
9，Complex Variables and Conformal Transformation in Potential Theory 势理论中的复杂变量和保角变换
10 Green's Theorem in Potential Theory 势理论中的格林定理
11 Electrical Images in Potential Theory 势理论中的电子图像
12 Electromagnetic Theory(Vector Potential) 静电学理论（矢量势）
13 Electromagnetic Wave Propagation Problems Related to Geophysics 与地球物理相关的静电波传播问题
14 Green's Function 格林函数
15 Numberical Methods in Potential Theory 势理论的数值方法
16 Analytical Continuation of Potential Field
17 Inversion of Potential Field Data
References
List of Symbols
Index
读书荐书
https://blog.sciencenet.cn/blog-4618-221261.html
上一篇：综述性课程的学习方法
下一篇：几张自己认为比较有感觉的照片
