MODELS OF PARTICLES AND MOVING MEDIA. BY DONALD A. DUNN. NEW YORK; LONDON: ACADEMIC PRESS 1971. 13, 301 S

Models of Particles and Moving Media deals with the use of mathematical models to study electrical interactions with moving particles and moving media. Topics covered range from space-time and the Galilean transformation to the Lorentz transformation of time and space and of Maxwell's equations. Forces and wave interaction with uniformly moving circuits and continua are also considered, along with non-uniform motion of charged particles in prescribed electric and magnetic fields. Comprised of seven chapters, this book begins with an overview of some of the ways in which motion can be described, with particular reference to the concept of space-time and the Galilean transformation. The discussion then turns to the Lorentz transformation of time and space, giving emphasis on the transformation of coordinates, time dilation and the Lorentz contraction, and conservation of mass and energy. After an analysis of the Lorentz transformation of Maxwell's equations, forces and wave interaction with uniformly moving circuits and continua are reviewed, along with non-uniform motion of charged particles in prescribed electric and magnetic fields. The book concludes by describing the use of the Lagrangian model and the Eulerian model to determine the motion of many interacting particles and the motion of charged and conducting fluids, respectively. This monograph is written primarily for students and researchers in the fields of mathematics and physics. Content: Front Matter , Page iii Copyright , Page iv Preface , Pages ix-xii Acknowledgments , Page xiii CHAPTER 1 - Space-Time and the Galilean Transformation , Pages 1-13 CHAPTER 2 - The Lorentz Transformation of Time and Space , Pages 14-42 CHAPTER 3 - The Lorentz Transformation of Maxwell's Equations , Pages 43-87 CHAPTER 4 - Forces and Wave Interaction with Uniformly Moving Circuits and Continua , Pages 88-136 CHAPTER 5 - Nonuniform Motion of Charged Particles in Prescribed Electric and Magnetic Fields , Pages 137-176 CHAPTER 6 - Motion of Many Interacting Particles—the Lagrangian Model , Pages 177-231 CHAPTER 7 - Motion of Charged and Conducting Fluids—the Eulerian Model , Pages 232-294 Author Index , Pages 295-297 Subject Index , Pages 298-301