We often write a vector as a list of numbers The Geometric View: It is a directed segment in space. The Analytical View: A vector is a "Rank 1 Tensor." 2. Stepping Up: What is a Tensor?
This is why Einstein used tensors for . Gravity isn't just a force pulling down; it is the curvature of the "metric tensor" of space itself. Because the laws of physics shouldn't change just because you changed your map, tensors are the only way to write those laws. 4. Key Tools in the Toolbox To master this field, you’ll encounter: Introduction to Vector and Tensor Analysis
At its core, this field is about : finding truths that remain the same no matter how you tilt your head or rotate your coordinate system. 1. The Starting Point: Vectors We often write a vector as a list