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
Lectures on the Mean-Value and Omega Theorems for the Riemann Zeta-Functionby K. Ramachandra - Tata Institute of Fundamental Research
This short book is a text on the mean-value and omega theorems for the Riemann Zeta-function. The author includes discussion of some fundamental theorems on Titchmarsh series and applications, and Titchmarsh's Phenomenon.
(10840 views)
Complex Integration and Cauchy's Theoremby G. N. Watson - Cambridge University Press
This brief monograph offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications ...
(10714 views)
Lectures on Riemann Matricesby C.L. Siegel - Tata Institute of Fundamental Research
A systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; etc.
(11514 views)
Lectures on The Theory of Functions of Several Complex Variablesby B. Malgrange - Tata Institute of Fundamental Research
Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; etc.
(12503 views)