There is no doubt general relativity is a difficult topic - at least, that's what most people seem to view it as.
I'm here to tell you that it doesn't have to be. All you need is a resource that teaches you the required math in a practical and beginner-friendly way, from the ground up.
General relativity itself is actually not too difficult to understand. What is difficult - or at least, often seems like it - is learning all the math behind it and actually being able to use it.
General relativity is based on the mathematics of tensor calculus and differential geometry. Learning these is therefore absolutely crucial if you truly want to understand it.
The problem I often see, though, is that most books and courses do not teach these topics with the purpose of actually being able to apply them to general relativity.
Instead, what you find are resources filled with unnecessary abstraction, math jargon, incomprehensible notation and an infinite list of prerequisites.
While I would like to say understanding general relativity is a walk in the park, it's not.
But, I am here to tell you that most of the difficulties can be avoided if you build the necessary mathematical foundation first - and specifically with the intention of being able to directly apply it to general relativity.
That's what this course aims to give you - all the math you need for a deep and practical understanding of general relativity.
My one goal is that after this course, you are truly able to say you understand the mathematics of general relativity and can pick up and work through any textbook on it.
Finally Understand The Math Behind General Relativity
General relativity is often thought of as a highly demanding subject mathematically, which makes it intimidating and difficult to even know where to get started.
This course aims to fix that - it teaches you everything you need to know, beginning from the ground up. The best part is that all the math you learn is specifically geared towards being able to understand general relativity.
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Price includes all taxes. Note that this course is currently available for early access, meaning not all content has been released yet. For the above price, you get instant access to all existing (see below) and future course contents.
What You'll Learn
- Build the necessary mathematical foundation for general relativity as well as understand why we use tensors and differential geometry to describe it.
- Learn the math behind concepts like tensors, Christoffel symbols, covariant derivatives and curvature from the very ground up.
- Learn tools to efficiently manipulate and work with tensor equations and indices, as well as understand how they are used in general relativity through step-by-step examples.
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Understand how to connect all the math you learn directly to general relativity - something that's often missing in many other resources.
Here's What You Get:
Along with the main lesson content (see below), you also get practice problem sets and solution manuals with step-by-step solutions to all problems.
Who Is This For?
- Anyone wanting to develop the necessary mathematical foundation for general relativity starting from the very bottom.
- Anyone wanting a more intuitive and practical understanding of tensor calculus and differential geometry.
- College or university students interested in a deeper mathematical understanding, for example, alongside a general relativity course at school.
Prerequisites
Topics like tensor calculus are naturally quite advanced and most textbooks on them will assume you have already mastered multivariable calculus, partial differential equations, vector calculus, linear algebra - the list goes on.
Although this course aims to cover everything from scratch as much as possible, a prior (basic) understanding of single-variable calculus and multivariable calculus is highly recommended.
If these sound familiar, you should be good to go. However, if you need to learn these topics first or get a refresher on them, you might want to take a look at my full Advanced Math For Physics -course:
Get Started Learning General Relativity Now!
The sooner you get started, the faster you'll reach your physics goals - and this course will take you there.