Minkowski Space

In Minkowski-Space the space-time of special relativity is discussed on the basis of fundamental results of space-time theory. This idea has the consequence that the Minkowski-space can be characterized by 5 axioms, which determine its geometrical and kinematical structure completely. In this sense Minkowski-Space is a prolegomenon for the formulation of other branches of special relativity, like mechanics, electrodynamics, thermodynamics etc. But these applications are not subjects of this book.

Contents

Basic properties of special relativity
Further properties of Lorentz matrices
Further properties of Lorentz transformations
Decomposition of Lorentz matrices and Lorentz transformations
Further structures on M^s
Tangent vectors in M^s
Orientation
Kinematics on M^s
Some basic notions of relativistic theories

The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics.
They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes.
The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.