Many problems with solutions have been added to those already contained in the book. In the second edition, the corresponding sections were scrapped and replaced with more topics in the well-established quantum electrodynamics, and the two parts were unified into one, thus providing a one-volume exposition on relativistic quantum field theory with the electromagnetic interaction as the prototype of a quantum field theory. This was the first occasion on which the Lenin Prize had been awarded for the teaching of physics. Selected pages Lanadu Page.
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Such a beautiful piece of work. Two chapters into the first Volume and I was floored. Immediately I made up my mind to buy rest of the series and I am an engineer! A high speed no-nonsense approach worked well with me as I was already familiar with Classical mechanics by Goldstein and various other books.
But this was unlike any other book on the topic that I had ever read before. Most of the ideas seem to follow a fresh and original line of thought. The only other example of this kind that comes to my mind is Feynman lectures. A reader soon realizes that he is peeking into the minds of someone no less than a genius. Yet the most complicated of ideas are gently introduced.
For example the authors use arguments based on homogeneity of space and time, to show that Lagrangian of a free particle can depend on nothing but square of speed of the particle! For learners, these arguments provide a glimpse on how they must approach a physical problem. Another example-I had always struggled with the idea of angular momentum when books on Physics talk about a mass particle. According to Newton, rate of change of linear momentum of a particle is the net external force so learning about linear momentum as a quantity seemed natural.
This also makes the ideas stick. The authors manage to use cogent arguments in order to develop the mathematical formulations. The series is self-contained and authoritative. Sadly, the series does has a few typos and has suffered from years of neglect by the publishers.
Disclaimer: My comments are based primarily on experience with Volume-I.
Landau and Lifshitz's Course of Theoretical Physics Volume I: Mechanics