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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Finally, the original papers of Riemann are highly recommended. Is there one textbook covering this, like one by Hurwitz? What are good books on elementary complex analysis which are more or less geometric? Wilhelm Schlag turned his notes from a first-year graduate course into a book of sorts. What are the good English textbooks?

Complex Functions : An Algebraic and Geometric Viewpoint

There is no comparable book in English. Dispatched from the UK in 3 business days When will my order arrive? It is full of geometric insights, although on the elementary side and it takes loooong to get to the harder material.

Home Questions Tags Users Unanswered. Not sure if it fits all your criteria. I would say that Markushevich is a good replacement of Shabat. I second the recommendation of the book by Rick Miranda, a book that is just a joy to read. The classic book by Ford on Automorphic functions is also recommended. Another book which covers a lot of geometric theory is Caratheodory 2 vols.


Another nice more elementary book is by Frederick Greenleaf. There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: It is especially well-written and cover functkons lot of topics, from elementary ones volume I to more advanced volume II.

The modular group; Appendices; References; Index of symbols; Index of names and definitions. The Best Books of An excellent texbook by A. Steve 4 9. Probably everything is in the two volumes of Einar Hille, the only basic reference I know to include the big Picard theorem.

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

Shabat, “Introduction to complex analysis, vol. Its message, admirably conveyed, is that mathematics is not a collection of neat parcels, cpmplex contents of one being blind to the contents of another. Sign up using Email and Password. My favorite is by Henri Cartan, superb and cheap.

PSL 2,R and its discrete subgroups; 6. This book is based on lectures given to advanced tunctions and is well-suited as a textbook for a second course in complex function theory. 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.


Goodreads is the world’s largest site for readers with over 50 million reviews. Hand book of complex analysis geometric function theory in 2 vols by R. Margaret Friedland 2, 1 37 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. Looking for beautiful books? A lot of this stuff is in Rick Miranda’s book. In addition to many excellent texts already mentioned, take a look at the following: Remmert, Reinhold Classical topics in complex function jojes.

In fact it is the one subject on which I used to say one could pick almost any book and be well served. Description Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics.

Someone has to do this for English readers:

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