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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Is there one textbook covering this, like one by Hurwitz? Several years ago the reviewer wanted to teach an undergraduate course that gave an introduction ckmplex hyperbolic geometry, Moebius transformations and discrete groups. Another book which covers a lot of geometric theory is Caratheodory 2 vols. An Algebraic and Geometric Viewpoint.

Sign up or log in Sign up using Google. Springer-Verlag, New York, Post as a guest Name. There is no comparable book in English.

It covers a lot of the topics you listed and it has a bunch of good problems. Functions of one complex variable: The book of Lang is also excellent. The book looks very good. By using our website you agree to our use of cookies.

Complex Functions : An Algebraic and Geometric Viewpoint

I said this beforebut the best book ever in any subject is Ahlfors’. As to geometry the book by Jones and Singerman: Home Questions Tags Users Unanswered. Graduate Texts in Mathematics, Dispatched from the UK in 3 business days When will copmlex order arrive?


John Miller 31 1 1 1. Complex functions, an algebraic and geometric viewpoint, is very well done.

For example, here are some topic in the geometric theory in a book by Hurwitz and Courant: An excellent texbook by A. PSL 2,R and its discrete subgroups; 6. Meromorphic continuation and Riemann surfaces; 5. A lot of this stuff is in Rick Miranda’s book. We use cookies to give you the best possible experience.

It is full of geometric insights, although on the elementary side and it takes loooong to get to the harder material. Someone has to do this for English readers: Infinite product and partial fraction series. None of these has the theory of compact Riemann surfaces, but Shabat which you like also does not have it.

aic geometry – Functions of one complex variable: geometric theory – MathOverflow

I have always claimed that the best way to study Complex Singermqn correctly is to read Ahlfors for the theory, and Marsden for the worked examples and long list of computational exercises. Finally, the original papers of Riemann are highly recommended. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. A distinctive feature of their presentation is the way in which they have incorporated into the text many interesting topics fynctions other branches of mathematics.


It is divided into three parts: There are many wonderful books on complex analysis in English. Sign up using Email and Password. Margaret Friedland 2, 1 37 Its message, admirably conveyed, is that mathematics is not a collection of neat parcels, the contents of one being blind to the contents of another. The Best Books of Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics.

Description Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. Sign up using Facebook.

Complex Functions : Gareth A. Jones :

By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. Wilhelm Schlag turned his notes from a first-year graduate course into a book of sorts. I like very much the section on infinite products in Ahlfors, but I think it is a very perceptive person who can detect much geometry in that work.