Ville Hirvonen | Akateeminen Kirjakauppa

Anyone who truly wants to understand general relativity, quantum field theory or any other area of modern physics first needs to master Lagrangian mechanics.

The issue with most resources teaching Lagrangian mechanics is that they don't truly teach you the why behind it. But what if it didn't have to be that way? What if you could truly learn Lagrangian mechanics the right way?

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.

Lagrangian Mechanics For The Non-Physicist is a complete resource specifically designed to teach you everything you'd possibly need to know about Lagrangian mechanics and the foundations of modern physics - the fundamentals, prerequisites, theory, math and practical applications. It's all here.

Some of the interesting you'll be able to learn from this book include:

The intuition and proper motivation for why Lagrangian mechanics works and how it's useful in the first place as well as why the principle of stationary action makes sense
Calculus of variations - the area of math Lagrangian mechanics uses - from the ground up, starting from the very basic ideas of single-variable calculus
The framework of Lagrangian mechanics, how to set up and solve any Lagrangian mechanics problem in a consistent step-by-step fashion
A deeper dive into topics like generalized coordinates, generalized momenta, Lagrange multipliers and solving problems with constraints
Advanced topics not covered in most other books - the most notable ones including friction and non-conservative forces in Lagrangian mechanics, solving statics problems with the principle of virtual work as well as a bottom-up approach to d'Alembert's principle
The relation between symmetries and conservation laws, described by Noether's theorem, as well as a precise description of what we even mean by symmetries in physics
Some advanced applications to modern physics, such as relativistic energy conservation and conservation of probability in quantum mechanics