Mathematical Methods for Physics: Problems and Solutions

ISBN-13: 9789814968713 / Angielski

Farkhad Aliev; Antonio Lara

Opis

The book describes mathematical tools that allow to solve partial differential equations, typical of physical problems. Another original and unique feature of this book is the emphasis on the mathematical formulation of the problems, as well as the analysis of several alternative ways to solve them.

Recenzje

“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 Gómez Santos, Universidad Autónoma 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

Spis treści

1. Harmonic Oscillator and Green’s Function

2. Problems in One Dimension

3. Bidimensional Problems

4. Three-Dimensional Problems

5. Problems in Polar Coordinates

6. Problems in Cylindrical Coordinates

7. Problems in Spherical Coordinates

8. Fourier Transform and Its Applications

O autorze

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.