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
: Worldlines, proper time, and the Minkowski metric. Special Relativity in General Frames: From Part...
: 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. The guide you're looking for refers to the
: By using a modern mathematical framework (tensors, exterior calculus, and differential forms), it serves as a rigorous foundation for students moving toward general relativity. and differential forms)