Lectures on the Theory of Algebraic Functions of One Variable
by M. Deuring
Publisher: Tata Institute of Fundamental Research 1959
ISBN/ASIN: 3540061525
Number of pages: 154
Description:
We shall be dealing in these lectures with the algebraic aspects of the theory of algebraic functions of one variable. Since an algebraic function w(z) is defined implicitly by an equation of the form f(z,w)=0, where f is a polynomial, it is understandable that the study of such functions should be possible by algebraic methods.
Download or read it online for free here:
Download link
(640KB, PDF)
Similar books
Complex Analysis on Riemann Surfaces
by Curtis McMullen - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(14088 views)
by Curtis McMullen - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(14088 views)
On Riemann's Theory of Algebraic Functions and their Integrals
by Felix Klein - Macmillan and Bowes
In his scholarly supplement to Riemann's complex mathematical theory, rather than offer proofs in support of the theorem, Klein chose to offer this exposition and annotation, first published in 1893, in an effort to broaden and deepen understanding.
(11552 views)
by Felix Klein - Macmillan and Bowes
In his scholarly supplement to Riemann's complex mathematical theory, rather than offer proofs in support of the theorem, Klein chose to offer this exposition and annotation, first published in 1893, in an effort to broaden and deepen understanding.
(11552 views)
Complex Variables
by R. B. Ash, W. P. Novinger
The text for advanced undergraduates and graduates, it offers a concise treatment, explanations, problems and solutions. Topics include elementary theory, general Cauchy theorem and applications, analytic functions, and prime number theorem.
(18546 views)
by R. B. Ash, W. P. Novinger
The text for advanced undergraduates and graduates, it offers a concise treatment, explanations, problems and solutions. Topics include elementary theory, general Cauchy theorem and applications, analytic functions, and prime number theorem.
(18546 views)
Dynamics in One Complex Variable
by John Milnor - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(15808 views)
by John Milnor - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(15808 views)