|Statement||by Lars V. Ahlfors and Leo Sario.|
|Series||Princeton mathematical series -- 26|
|Contributions||Sario, Leo, joint author.|
|The Physical Object|
|Pagination||382 p. :|
|Number of Pages||382|
Riemann Surfaces (Oxford Graduate Texts in Mathematics Book 22) Simon Donaldson. out of 5 stars 8. Kindle Edition. $ Lectures on Riemann Surfaces (Graduate Texts in Mathematics Book 81) Otto Forster. out of 5 stars 2. Kindle Edition. $/5(1). Other articles where Riemann surface is discussed: analysis: Analysis in higher dimensions: was the concept of a Riemann surface. The complex numbers can be viewed as a plane (see Fluid flow), so a function of a complex variable can be viewed as a function on the plane. Riemann’s insight was that other surfaces can also be provided with complex coordinates, and . Frances Kirwan's book Complex Algebraic Curves has two really nice chapters on Riemann Surfaces and over all the level of the book is pretty decent to start with. The book is intended to be accessible to advanced undergraduates so perhaps not as advanced as you'd like, but it is a good reference nonetheless. Riemann Surfaces book. Read reviews from world’s largest community for readers. It is gratifying to learn that there is new life in an old field that has 5/5(5).
It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent. We hope that non-mathematicians as well as mathematicians (working in nearby areas to the central topic of this book) will also learn part of this subject for the sheer beauty and elegance of the material (work of Weierstrass, Jacobi, Riemann, Hilbert, Weyl) and as healthy exposure to the way (some) mathematicians write about mathematics. It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent fields (for example, those interested in hyperbolic manifolds and iterations of rational maps) 5/5(1). In this book we present the theory of Riemann surfaces and its many dif ferent facets. We begin from the most elementary aspects and try to bring the reader up to the frontier of present-day research. We treat both open and closed surfaces in this .
Compact Riemann Surfaces book. Read reviews from world’s largest community for readers. Although Riemann surfaces are a time-honoured field, this book is 4/5(3). The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an extremely useful part of mathematics, knowledge of which is needed by specialists in many other fields. It provides a model for a large number of more recent developments in areas Author: Simon Donaldson. Riemann surfaces There are some surfaces which we are interested in that were studied by Riemann, which surpris-ingly have been named Riemann surfaces. We begin with a deﬁnition of such surfaces. Deﬁnition A Hausdorﬀ connected topological space X is a Riemann surface if there exists a family f(`j;Uj): j 2 JgFile Size: KB. Stability, Riemann Surfaces, Conformal Mappings is one of the great eBooks available to download from our website. This Complex Functions Theory a-3 text is the third e-book in a series which has previously characterized analytic functions by their complex differentiability and proved Cauchy’s Integral Theorem, as well as provided /5(17).