Special Relativity In General Frames: From Part... -
: By using a modern mathematical framework (tensors, exterior calculus, and differential forms), it serves as a rigorous foundation for students moving toward general relativity.
The guide you're looking for refers to the book by Éric Gourgoulhon. It is widely regarded as a modern masterpiece for its unique geometric approach , treating special relativity as a four-dimensional theory from the start rather than building up from three-dimensional space and time. Core Approach Special Relativity in General Frames: From Part...
: Tensorial fields, Maxwell's equations, and relativistic hydrodynamics . : By using a modern mathematical framework (tensors,
: Energy, momentum, and the Principle of Least Action . and differential forms)
: Unlike traditional textbooks, it adopts a 4D Minkowski spacetime view immediately, defining worldlines, 4-velocity, and 4-acceleration as absolute geometric objects independent of any coordinate system.