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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Another book which covers a lot of geometric theory is Caratheodory 2 vols. Both books were never translated into English, besides a few chapters from the 2nd book, which were translated by Lenya Jjones. Kalim 1 18 Book ratings by Goodreads. Exposition of compact Riemann surfaces in Courant is unique, on my opinion. Several years ago the reviewer wanted to teach an undergraduate course that gave an introduction to hyperbolic geometry, Moebius transformations and discrete groups.
What are the good English textbooks? For example, here are some topic in the geometric theory in a book by Hurwitz and Courant: Springer-Verlag, New York, Home Questions Tags Users Unanswered.
Margaret Friedland 2, 1 37 Sign up or log in Sign up using Google. The modular group; Appendices; References; Index of symbols; Index of names and definitions.
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PSL 2,R and its discrete subgroups; 6. Dispatched from the UK in 3 business days When will my order arrive? I mean Hurwitz-Courant I am teaching the subject for about 30 years, and I was unable to find a similar book.
Is there one textbook covering this, like one by Hurwitz?
aic geometry – Functions of one complex variable: geometric theory – MathOverflow
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. I like very much the section on infinite products in Ahlfors, but I think it is funtcions very perceptive person who vunctions detect much geometry in that work.
Graduate Texts in Mathematics, The Riemann sphere; 2. There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: The chapter on the Weierstrass function e. I suggest McMullen’s lectures: Home Contact Us Help Free delivery worldwide.
Complex Functions : Gareth A. Jones :
Looking for beautiful books? Goodreads is the world’s largest site for readers with over 50 million reviews. 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. In addition to many excellent texts already mentioned, take a look at the following: When I studied complex analysis, I used two 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.
Complex Functions : An Algebraic and Geometric Viewpoint
Sign up using Email and Password. Shabat, “Introduction to complex analysis, vol. BTW, you will also singwrman much interesting material in “Visual complex analysis” by T. Another nice more elementary book is by Frederick Greenleaf.