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Alexandre Eremenko
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As I said in the remark there is no book comparable to the Russian edition of Hurwitz-Courant (Evgrafov was the editor of the Russian translation who improved the original very much).

There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: Markushevich and Goluzin. Another book which covers a lot of geometric theory is Caratheodory (2 vols).

They do not haveNone of these has the theory of compact Riemann surfaces, like Hurwitz-Courant, but Shabat (which you like) also does not have it. I would say that Markushevich is a good replacement of Shabat. Goluzin can serve as a source of graduate courses.

Exposition of compact Riemann surfaces in Courant is unique, on my opinion.

As I said in the remark there is no book comparable to the Russian edition of Hurwitz-Courant (Evgrafov was the editor of the Russian translation who improved the original very much).

There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: Markushevich and Goluzin.

They do not have the theory of compact Riemann surfaces, like Hurwitz-Courant, but Shabat (which you like) also does not have it. I would say that Markushevich is a good replacement of Shabat. Goluzin can serve as a source of graduate courses.

As I said in the remark there is no book comparable to the Russian edition of Hurwitz-Courant (Evgrafov was the editor of the Russian translation who improved the original very much).

There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: Markushevich and Goluzin. Another book which covers a lot of geometric theory is Caratheodory (2 vols).

None of these has the theory of compact Riemann surfaces, but Shabat (which you like) also does not have it. I would say that Markushevich is a good replacement of Shabat. Goluzin can serve as a source of graduate courses.

Exposition of compact Riemann surfaces in Courant is unique, on my opinion.

Source Link
Alexandre Eremenko
  • 91.8k
  • 9
  • 259
  • 431

As I said in the remark there is no book comparable to the Russian edition of Hurwitz-Courant (Evgrafov was the editor of the Russian translation who improved the original very much).

There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: Markushevich and Goluzin.

They do not have the theory of compact Riemann surfaces, like Hurwitz-Courant, but Shabat (which you like) also does not have it. I would say that Markushevich is a good replacement of Shabat. Goluzin can serve as a source of graduate courses.