Mathematical Methods for Physics: Problems and Solutions

This  book presents mathematical tools to solve partial differential  equations, typical of physical problems. It explains in a detailed  manner the process of solving the problems that typically arise in the  context of physics. Although there are a large number of textbooks on  this topic, few go so deep into the topic. One of the original and  unique features of this book is emphasis on the mathematical formulation  of the problems, as well as the analysis of several alternative ways to  solve them. Importantly, the book provides a graphical analysis of the  results when appropriate. It describes a wide scope of the problems,  with detailed solutions and the methods involved, ranging from cases in  one to three dimensions, from Cartesian to polar, cylindrical, and  spherical coordinates and includes properties and applications of the  Fourier transform to solve partial differential equations.