Bøger af Oscar Zariski

Second volume of treatise addresses valuation theory, theory of polynomial and power series rings (including generalizations to graded rings and modules), and local algebra, stressing their connection to algebraic geometry. 1960 edition.

Oscar Zariski has enriched mathematics, particularly in algebraic geometry and modern algebra, by numerous and fundamental papers. This volume is the first of four in which these papers are available in collected form.

Oscar Zariski has enriched mathematics, particularly in algebraic geometry and modern algebra, by numerous and fundamental papers. This volume is the first of four in which these papers are available in collected form.

From the reviews: "The author's book [...] saw its first edition in 1935. [...] Now as before, the original text of the book is an excellent source for an interested reader to study the methods of classical algebraic geometry, and to find the great old results. [...] a timelessly beautiful pearl in the cultural heritage of mathematics as a whole."

We have also tried, this time with an eye to both the student and the mature mathematician, to give a many-sided treatment of our topics, not hesitating to offer several proofs of one and the same result when we thought that something might be learned, as to methods, from each of the proofs."