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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Each of them very much improved the original which was full of mistakes.
Complex Functions : An Algebraic and Geometric Viewpoint
It is full of geometric insights, although on the elementary side and it takes loooong to get to the harder material. Infinite product and partial fraction series. Kalim 1 18 Another book which covers a lot of geometric theory is Caratheodory 2 vols. 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.
We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. Martin Sleziak 2, jonew 20 Goluzin can serve as a source of graduate courses. Hurwitz with collaboration of R. An excellent texbook by A. Another nice more elementary book is by Frederick Greenleaf.
aic geometry – Functions of one complex variable: geometric theory – MathOverflow
Sign up using Email and Password. My favorite is by Henri Cartan, superb and cheap. Someone has to do this for English readers: It is especially well-written and cover a lot of topics, from elementary ones volume I to more advanced volume II. 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.
Home Contact Us Help Free delivery worldwide. I would say that Markushevich is a good replacement of Shabat. The book looks very good. Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.
Complex Functions : Gareth A. Jones :
I remember looking at Siegel’s “Topics in complex function theory” several vols. An Algebraic and Geometric Viewpoint.
It is divided into three parts: There is no comparable book in English. There are 2 comprehensive Russian books covering much of geometric theory; both exist in English translation: I mean Hurwitz-Courant I am teaching the subject for about 30 years, and I was unable to find a similar book. Hand book of complex analysis geometric function theory in 2 vols by R. Graduate Texts jlnes Mathematics, The Riemann sphere; 2.
The Best Books of Finally, the original papers of Riemann are highly recommended. Post as a guest Name. Probably everything is in the two volumes of Einar Hille, the only basic reference I know to include the big Picard theorem.
Shabat, “Introduction to complex analysis, vol. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics.
Exposition of compact Riemann surfaces in Courant is unique, on my opinion.