This book, "Potential Theory in Gravity and Magnetic Applications" by Richard J. Blakely, provides a comprehensive overview of potential theory as applied to gravity and magnetic fields. It begins with an introduction to potential fields, covering concepts such as points, boundaries, and regions, and discusses energy, work, and the potential. The text then explores harmonic functions, including Laplace's equation and complex harmonic functions, and presents problem sets for each chapter. The book then delves into the consequences of the potential, including Green's identities, the Helmholtz theorem, and Green's functions. It moves on to the Newtonian potential, discussing gravitational attraction, potential of mass distributions, and Gauss's law for gravity fields. The magnetic potential is then examined, covering magnetic induction, Gauss's law for magnetic fields, vector and scalar potentials, and dipole moments. The text also addresses magnetization, including distributions of magnetization, magnetic field intensity, permeability, and susceptibility. It explores spherical harmonic analysis, its application to Laplace's equation, and its use in gravity and magnetic fields. The book then discusses regional gravity fields, the geomagnetic field, and the forward and inverse methods used in gravity and magnetic modeling. The text covers Fourier-domain modeling, transformations such as upward continuation, directional derivatives, phase transformations, pseudogravity, and horizontal gradients. It concludes with appendices reviewing vector calculus, subroutines, sampling theory, and unit conversions, along with a bibliography and index. The book is a valuable resource for geophysicists and researchers in the fields of gravity and magnetic applications.This book, "Potential Theory in Gravity and Magnetic Applications" by Richard J. Blakely, provides a comprehensive overview of potential theory as applied to gravity and magnetic fields. It begins with an introduction to potential fields, covering concepts such as points, boundaries, and regions, and discusses energy, work, and the potential. The text then explores harmonic functions, including Laplace's equation and complex harmonic functions, and presents problem sets for each chapter. The book then delves into the consequences of the potential, including Green's identities, the Helmholtz theorem, and Green's functions. It moves on to the Newtonian potential, discussing gravitational attraction, potential of mass distributions, and Gauss's law for gravity fields. The magnetic potential is then examined, covering magnetic induction, Gauss's law for magnetic fields, vector and scalar potentials, and dipole moments. The text also addresses magnetization, including distributions of magnetization, magnetic field intensity, permeability, and susceptibility. It explores spherical harmonic analysis, its application to Laplace's equation, and its use in gravity and magnetic fields. The book then discusses regional gravity fields, the geomagnetic field, and the forward and inverse methods used in gravity and magnetic modeling. The text covers Fourier-domain modeling, transformations such as upward continuation, directional derivatives, phase transformations, pseudogravity, and horizontal gradients. It concludes with appendices reviewing vector calculus, subroutines, sampling theory, and unit conversions, along with a bibliography and index. The book is a valuable resource for geophysicists and researchers in the fields of gravity and magnetic applications.