What are the prerequisites for learning general relativity?
Prerequisites. A sound knowledge of multivariable calculus (at least Math 212) and linear algebra (at least Math 218). A basic knowledge of classical mechanics and electromagnetism is desirable but the course will endevour to be self-contained.
Does relativity use calculus?
The governing equations, Schrödinger equation in quantum mechanics and Einstein field equation in general relativity are partial differential equations. Therefore, calculus is involved. Calculus is used in many aspects of quantum mechanics, and tensor calculus is used extensively in general relativity.
What kind of Math is required to understand general relativity?
Before learning general relativity you need to understand special relativity. The mathematics required for that is an understanding of how coordinate geometry works using vector algebra and matrix transformations. Some group theory helps to understand what Lorentz transformations are about.
How is differential geometry a formative component in learning general relativity?
The mathematics and geometry are integral parts of the theory itself, and in the case of general relativity, understanding the progression of mathematics through studying differential geometry forms a pathway to fully realizing the theory. In this way, understanding differential geometry is a formative component in learning general relativity.
What math do I need to learn about gravitation?
Most self-contained courses or texts on general relativity teach the necessary differential geometry to understand how gravitation works. Otherwise, a little multivariable calculus and some linear algebra are probably all that you need as a prerequisite.
What is the best way to study Einstein’s theory of relativity?
One approach, (general) tensor calculus, is the older, more ‘traditional’ way of doing differential geometry and GR, and was the mathematical language that Einstein originally used when developing the theory.