Overview

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.

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9789814968713

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Reviews

Having taught a similar course several times, I realize how often the subject presents severe difficulties to students who, despite understanding concepts and examples, become stuck when tackling new problems on their own. This collection of problems, written in physical language and solved without skipping mathematical details, is ideally suited to cope with such troubles and, according to many students' testimonials, it greatly contributes to alleviate the harshness of the matter. -Prof. Guillermo Gomez Santos, Universidad Autonoma de Madrid, Spain Devoted to a detailed presentation of the solution of commonly encountered partial different equations, a widely useful topic in the natural sciences, this book should be useful to both theorists and experimentalists working on problems in physics, whether the focus is applied engineering topics or basic research. -Prof. Jacob Linder, Norwegian University of Science and Technology, Norway

Author Information

Farkhad G. Aliev is Echegaray Professor of Condensed Matter Physics at Universidad Autónoma de Madrid (UAM), Spain. He conducted research as a scientist at Lomonosov Moscow State University (1984–1995) and was a visiting professor and a senior researcher at UAM (1990–1995) and at Katholieke Universiteit Leuven (1995–1998). He leads the MAGNETRANS group at UAM, which focuses on dynamics in magnetic and superconducting nanostructures. He has been teaching a course on Mathematical Methods for Physics at UAM for several years. Antonio Lara obtained his PhD in Condensed Matter Physics at the MAGNETRANS group (UAM) in 2017, under the super vision of Prof. Farkhad G. Aliev. During his doctoral studies, his research focused on magnetic dynamics, as well as superconducting vortex dynamics in hybrid magnetic/ superconducting systems at the nanoscale. He has taught problem-solving lessons on Mathematical Methods for Physics at UAM for several years. He has been awarded several prizes for young researchers at international conferences of Solid State Physics.

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