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本書の特徴は電磁場、重力場といった古典物理の法則を変分を用いて統一的に記述しているところにあるとされているが、私個人はメトリックから実際の距離や時間の導出および同時性の議論といった一見泥臭い話を天才ランダウが行っているところにあった。このような泥臭いが頭を使う話を一度は考えないと、一般座標系で物理法則を記述する美しさだけに目がいってしまう。
レベル的には、「シュッツ相対論」に高度な専門書として引用されているが、それほど分厚くないので読む気がする。
数学的記法は古いが、等価原理とΓの足の対称性を物理的にダイレクトに証明したり、同期化座標を物理的に構築するところはビジュアルで印象深い。
To put it simply, the derivation of Maxwell's equations are stunning. I have never seen a clearer, more convincing treatment. And as we have come to expect from this series, it is almost impossible to find any flaws(except for some typos which unfortunately still exist even in the most recent reprint.) The sections on radiation of electromagnetic waves and
The treatment of relativity is very consice and it is rather unfortunate that we could not get a more detailed exposition on the subject from Landau. It would have been extremely interesting to see what Landau would have had to say had he written this section after the "Golden Area for Black Holes Rsearch" As it is the discussion of Relativity from, as is to be expected, a principle of least action(Hilbert Action) is very cleverly done. Every section of the book is very physically motivated rather than purely geometric arguments. Reading this book gives you a fairly good intuitive understanding for the actual physics involved rather than simply an ability to write and solve field equations.
It might be a very good idea to read some sections of their Vol1. on Mechanics before attemting this book, with special attention to Chapters 1,2 and the last chapter on the Hamiltonian treatment.
But all in all, this is probably one of my favorite books both in terms of contect as well as sheer elegance of presentation. A geneuine masterpiece.
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