Geometrical Physics in Minkowski Spacetime - Rowe, E. G. Peter (Springer London, 2001)
Geometrical Physics in Minkowski Spacetime is an overview and description of the geometry in spacetime, and aids in the creation and development of intuition in four-dimensional Minkowski space. The deepest understanding of relativity and spacetime is in terms of the geometrical absolutes, and this is what the book seeks to develop. The most interesting topics requiring special relativity are covered, including: Spacetime Vectors in Spacetime Electromagnetism Asymptotic Momentum Conservation Covectors and Dyadics in Spacetime Energy Tensor Although the book is not meant for the complete beginner in special relativity, the mathematical prerequisites for the early chapters of the book are very few - linear algebra and elementary geometry (done using vectors and a scalar product). For the later chapters, multivariable calculus and ordinary differential equations are often needed