Book request Fuchsian Groups

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I am currently going through the book Fuchsian Groups by Svetlana Katok for preparing for my seminar talk (getting familiar with the topic). The book is ok, but I like to have some other references since most of the time, different authors have different perspectives. I searched on the internet for some books about Fuchsian Groups, but as far as I can see, there are no other covering just this topic. Also I found a book about modular forms which has a nice introduction to them. So my question is: Can someone recommend a good book which introduces Fuchsian Groups other than the one by Svetlana Katok?

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There are many lecture notes and other material on the web about Fuchsian groups. Just to give an example of another book:

$\bullet \;$ Topics on Riemann Surfaces and Fuchsian Groups, by Emilio Bujalance García,A. F. Costa,E. Martínez.

Further references are also given at Mathoverflow. If you search a bit yourself, you will find much material. You already may have seen the Reading material list for Fuchsian groups.

The more interesting question is: what is really relevant for your seminar talk.