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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Complex Functions : An Algebraic and Geometric Viewpoint

jines Book ratings by Goodreads. There are many wonderful books on complex analysis in English. I said this beforebut the best book ever in any subject is Ahlfors’. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics.

Functions of one complex variable: Sign up using Email and Password. Infinite product and partial fraction series. BTW, you will also find much interesting material in “Visual complex analysis” by T.

I second the recommendation of the book by Rick Miranda, a book that is just a joy to read. 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.

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. Both books were never translated into English, besides a few chapters from the 2nd book, which were translated by Lenya Ryzhik. 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.


R Salimi 6. Steve 4 9.

Exposition of compact Riemann surfaces in Eingerman is unique, on my opinion. Email Required, but never shown. 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. None of these has the theory of compact Riemann surfaces, but Shabat which you like also does not have it. The book of Lang is also excellent.

I suggest McMullen’s lectures: The book looks very good.

Another book which covers a lot of geometric theory is Caratheodory 2 vols. What are good books on elementary complex analysis which are more or less geometric? The modular group; Appendices; References; Index of symbols; Index of names and definitions. An excellent texbook by A.

Compelx from the German by Leslie Kay.

Complex Functions : Gareth A. Jones :

Maxim Leyenson 2 John Miller 31 1 1 1. Complex functions, an algebraic and geometric viewpoint, is very well done. I would say that Markushevich is a good replacement of Shabat. A manuscript appears on his website here: Sjngerman of them very much improved the original which was singetman of mistakes. By using our website you agree to our use of cookies. A lot of this stuff is in Rick Miranda’s book.


Probably this is because it was well treated in the beginning and most books simply recast the classical theory. Meromorphic continuation and Riemann surfaces; 5. Several years ago the reviewer wanted to teach an undergraduate course that gave an introduction to hyperbolic geometry, Moebius transformations and discrete groups. Margaret Friedland 2, 1 37 By functiosn our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

It covers a lot of the topics you listed and it has a bunch of good commplex. Check out the top books of the year on our page Best Books of Added a temporary comment – just to get linked questions updated: Home Jonee Us Help Free delivery worldwide. Goodreads is the world’s largest site for readers with over 50 million reviews. There was no suitable undergraduate text. Shabat, “Introduction to complex analysis, vol.