The truth is that trying to understand physics at a deep level without understanding Lagrangian mechanics is like driving a car without a steering wheel – you’ll eventually run into a wall and not be able to move forward anymore. The issue is that Lagrangian mechanics is often taught in a way that does not truly explain why it's needed and instead leaves you wondering, “Who cares about this?” The true reason why Lagrangian mechanics is so incredibly powerful is that it gives you a general framework for describing literally any area of modern physics. This is the reason why Lagrangian mechanics exists, but almost no one will teach you it this way... even though they should.
Whether you want to learn:
Electrodynamics
Special and general relativity
Quantum field theory
String theory
You absolutely need to have a deep understanding of Lagrangian mechanics to even get started on any of these topics. However, getting started and specifically knowing where to start is often the most difficult part.
It would be nice to have a dedicated resource that introduces Lagrangian mechanics completely from scratch and gives you everything in one place. Well, that's exactly what this book will give you. You'll learn Lagrangian mechanics in a completely unique way you've likely never seen before — as both a fundamental framework for advanced modern physics, but also as an incredibly powerful problem-solving tool.
I'm the founder and currently the main author at Profound Physics. I'm a physics enthusiast from Finland with multiple years of experience in self-studying physics. My goal now is to share some of that experience to help you in your physics studying journey. That's why I started Profound Physics, originally as a physics education website, which has now grown into a staple in the physics self-study space. Through free internet articles, other resources and now also books, Profound Physics aims to provide an accessible, engaging and easy-to-grasp approach to learning advanced physics outside the traditional classroom setting.