PDF | On Mar 27, , Gareth A. Jones and others published Complex Functions: An Algebraic and Geometric Viewpoint. Complex Functions by GARETH A. JONES, DAVID SINGERMAN and a great selection of related books, art and collectibles available now at. Jones, G.A. and Singerman, D. () Complex Functions, an Algebraic and Geometric Viewpoint. Cambridge University Press, Cambridge.

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We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. Check out the top books of the year on our page Best Books of There was no suitable undergraduate text.

Several years ago the reviewer wanted to teach an undergraduate course that gave an introduction to hyperbolic geometry, Singedman transformations and discrete groups. Email Required, but never shown. Added a temporary comment – just to get linked questions updated: I like very much the section on infinite products in Ahlfors, but I think it is a very perceptive person who can functionw much geometry in that work.

It covers a lot of the topics you listed and it has a bunch of good problems. It is especially well-written and cover a lot of topics, from elementary ones volume I to more advanced volume II.

There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: Exposition of compact Riemann surfaces in Courant is unique, on my jonea. Sign up or log in Sign up using Google.


Someone has to do this for English readers: Not jonws if it fits all your criteria. What are the good English textbooks? A distinctive feature of their presentation is the way in which they have incorporated into the text many interesting topics from other branches of mathematics. As to geometry the book by Jones and Singerman: It is full of geometric insights, although on the elementary side and it takes loooong to get to the harder material.

I complrx McMullen’s lectures: None of these has the theory of compact Riemann surfaces, but Shabat which you like also does not have it. We use cookies to give you the best possible experience.

Another book which covers a lot of geometric theory is Caratheodory 2 vols. In addition to many excellent texts already mentioned, take a look at the following: Goluzin can serve as a source of graduate courses. BTW, you will also find much interesting material in “Visual complex analysis” by T. There are many wonderful books on complex analysis in English.

By using our website you agree to our use of cookies. Translated from the German by Leslie Kay. Maxim Leyenson 2 Is there one textbook covering this, like one by Hurwitz? Steve 4 9. Home Contact Us Help Free delivery worldwide. At the present time there is a great revival of interest in these topics not only for their own sake but also because of their applications to so many areas of mathematical research from group theory and number theory to topology and differential equations.

Complex Functions : Gareth A. Jones :

functiojs 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. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand joones your continued use of the website is subject to these policies. In this book the authors give elementary accounts of many aspects of classical complex function theory including Moebius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions.


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Complex Functions : An Algebraic and Geometric Viewpoint

The book of Lang is also excellent. Goodreads is the world’s largest site for readers with over 50 million reviews. This book fills that void,” Mathematical Reviews “Well motivated with good selection of problems at the end of each chapter. Can someone recommend a good textbook on functions of one complex variable which have good chapters fknctions geometric theory, in English? Hurwitz with collaboration of R. An Algebraic and Geometric Viewpoint.

A manuscript appears on his website here: For example, here are some topic in the geometric singermqn in a book by Hurwitz and Courant: Shabat, “Introduction to complex analysis, vol. Sign up using Facebook.