Course of Theoretical Physics by Landau and Lifshitz

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SUMMARY

The "Course of Theoretical Physics" by L.D. Landau and E.M. Lifshitz is a comprehensive series consisting of 10 volumes, essential for graduate-level physics students. The texts are known for their concise presentation and rigorous approach based on the principle of least action, but they are not beginner-friendly and often assume a strong mathematical background. While the books provide valuable insights, they lack extensive exercises and practical applications, making them challenging for those unfamiliar with the material. Recent editions are crucial, as older versions contain outdated information, particularly regarding special and general relativity.

PREREQUISITES
  • Strong foundation in advanced mathematics, particularly calculus and linear algebra.
  • Familiarity with undergraduate-level physics concepts.
  • Understanding of classical mechanics and electromagnetism.
  • Experience with theoretical physics problem-solving techniques.
NEXT STEPS
  • Research the latest editions of "Course of Theoretical Physics" to ensure up-to-date content.
  • Study the principles of least action and their applications in theoretical physics.
  • Explore supplementary resources for problem-solving in advanced physics, such as "Problems and Solutions in Theoretical Physics."
  • Investigate the historical context and contributions of Russian physicists to modern theoretical physics.
USEFUL FOR

This discussion is beneficial for graduate physics students, educators in theoretical physics, and researchers seeking to deepen their understanding of advanced concepts in the field.

For those who have used this book


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What to write about L&L?
First it is certainly not a beginners textbook.
The chapters have often only a loose relation to each other. He takes any mathematical tool he uses for granted, which corresponds to the way russian physicists were trained, i.e. they had extensive mathematics classes before starting physics.
He often uses conventions which are highly non-standard without loosing a word on it (or at best some 20 chapters later) and sometimes not consistently over the chapters.
It is rather a book which you will take in hands once you have read some introductory text on some topic and you will even return to it when you are already an expert on the field.
While it runs under the name of Landau and Lifshitz, only, there are some chapters or parts of the books which sum up the work of other books, often nobel prize winners themselves. E.g. the volume of statistical mechanics lays out quite closely what can be found in Abrikosov, Gorkov and Dzyaloshinskii, electrodynamics of the continua, has many chapters summarizing work of Gorkov and Agranovich, etc.

Belongs on the shelf of every physicist.
 
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The Classic Russian Text. If you are in Undergraduate and want to Read some Graduate Text in free time then this set of Landau & Lifshitz is best Intro to Graduate Physics.
 
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The volumes that I have at least some familiarity with are mechanics, classical theory of fields, and statistical physics. The two good reasons to study these books are that they're concise, and they consistently apply an approach based on the principle of least action.

There are many things not to like.

You want to make sure to obtain the most recent editions, because the older editions are extremely out of date. This shows up particularly in the treatment of special and general relativity.

There are end-of-chapter problems, but not very many of them, and they are mostly pretty difficult and given with their solutions immediately following. There is not much in the way of basic problems to promote computational fluency.

These books are infamous for stating abstruse arguments very briefly, as if they were obvious or trivial. These arguments are sometimes incorrect. Often it's impossible to tell whether an argument is meant to be rigorous or simply a plausibility argument.

There is essentially no contact with experiment or discussion of applications.
 
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I've only used L&L's Mechanics 3rd Edition for an upper level undergraduate class in mechanics and let me tell you that it is a challenging book. What we covered was not challenging conceptually or in terms of the actual physics; what was challenging was the manner it is presented. The text is very sparse - not a single word is wasted. Also, as stated above, there is a limited number of exercises and they tend to be rather difficult which means there is "no way" to become comfortable with the material before tackling the difficult problems.
 
bcrowell said:
These books are infamous for stating abstruse arguments very briefly, as if they were obvious or trivial. These arguments are sometimes incorrect. Often it's impossible to tell whether an argument is meant to be rigorous or simply a plausibility argument.

There is essentially no contact with experiment or discussion of applications.

I agree that sometimes arguments are pretty short. It's the Landau/Russian didactics. However, can you give an example, where an argument is really wrong?
 
Can somebody please change the name of “Lifgarbagez”? It hurts my eyes reading this. The man's name is Lifshitz, which is pretty close to the Russian Лифшиц.
 
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Hi. I recently bought the first volume of the series and to my surprise, the inside cover only listed 9 volumes (including the one I bought). One of the Statistical volumes is appears to be missing. I believe its the second part (Volume 9). Does anyone know why this is? My book on mechanics was published in 1960. Both Addison-Wesley and Pergamon Press are printed on the book so I'm not sure who published the book.
 
That's strange. On Amazon I find all 10 volumes of this masterpiece. I've the German translation :-).
 
  • #10
vanhees71 said:
That's strange. On Amazon I find all 10 volumes of this masterpiece. I've the German translation :-).
Nice! You collected all 10 volumes?? I'm planning to read them all while collecting them but it's kinda a bummer if my set has two volume 9 (for statistical physics and for physical kinetics) When I did a little digging, i ran into some online copies and they also list 1-9. Check out the link if you're curious.

https://archive.org/details/Mechanics_541
 
  • #11
Hm, this is really strange since Landau-Lifshitz has definitely 10 volumes also in the English edition:

1) Mechanics
2) Classical field theory (electromagnetism and general relativity)
3) Non-relativistic quantum mechanics
4) Quantum electrodynamics
5) Statistical Physics, Part 1
6) Hydrodynamics
7) Elasticity theory
8) Electrodynamics of Continua
9) Statistical Physics, Part 2
10) Kinetic Theory
 
  • #12
I believe that statistical mechanics ii contains mostly material written after 1960 by other people than Landau, so it is clear that it didn't exist in 1960.
 
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  • #13
DrDu said:
I believe that statistical mechanics ii contains mostly material written after 1960 by other people than Landau, so it is clear that it didn't exist in 1960.

Thanks. That explanation is so obvious that I am embarrassed but even more so because at some point I suspected this.
 
  • #14
I enjoy these books, especially Fluid Mechanics. Along with Batchelor, it provides a no-nonsense development of the field. Has anyone run into typos of these editions? I'm just wondering since my 3rd favorite of the set, Physical Kinetics, is also my least familiar (in terms of the equations) has some otherwise unconventional derivations.
 

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