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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This book fills that void,” Mathematical Reviews “Well motivated with good selection of problems at the end of each chapter. Shabat, “Introduction to complex analysis, vol.
Goluzin can serve as a source of graduate courses.
aic geometry – Functions of one complex variable: geometric theory – MathOverflow
Sign up using Facebook. I would say that Markushevich is a good replacement of Shabat. Table of contents Introduction; 1. BTW, you will also find much interesting material in “Visual complex analysis” by T. John Miller 31 1 1 1.
Complex Functions : An Algebraic and Geometric Viewpoint
Complex Functions : Gareth A. Jones :
Not sure if it fits all your criteria. It covers a lot of the topics you listed and it has a bunch of good problems. In addition to many excellent compex already mentioned, take a look at the following: Check out the top books of the year on our page Best Books of 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.
An excellent [though smaller] textbook by B.
Goodreads is the world’s largest site for readers with over 50 million reviews. Another nice more elementary book is by Frederick Greenleaf. Several years ago the reviewer wanted to teach an undergraduate course that gave an introduction to hyperbolic geometry, Moebius transformations and discrete groups.
Kalim 1 18 Sign up using Email and Password. Meromorphic continuation and Riemann surfaces; 5. What are good books on elementary complex analysis which are more or less geometric?
Maxim Leyenson 2 When I studied complex analysis, I used two textbooks: Infinite product and partial fraction series. A lot of this stuff is in Rick Miranda’s book. Springer-Verlag, New York, Margaret Friedland 2, 1 37