Computational Commutative Algebra 1

Computational Commutative Algebra 1

Author: Martin Kreuzer

Publisher: Springer Science & Business Media

ISBN: 9783540677338

Category: Mathematics

Page: 322

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This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical.
Computational Commutative Algebra 1
Language: en
Pages: 322
Authors: Martin Kreuzer, Lorenzo Robbiano
Categories: Mathematics
Type: BOOK - Published: 2008-07-15 - Publisher: Springer Science & Business Media

This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the
Commutative Algebra I
Language: en
Pages: 334
Authors: Oscar Zariski, Pierre Samuel
Categories: Mathematics
Type: BOOK - Published: 1975-12-01 - Publisher: Springer

From the Preface: "We have preferred to write a self-contained book which could be used in a basic graduate course of modern algebra. It is also with an eye to the student that we have tried to give full and detailed explanations in the proofs... We have also tried, this
Commutative Algebra
Language: en
Pages: 416
Authors: Oscar Zariski, Pierre Samuel
Categories: Mathematics
Type: BOOK - Published: 1960 - Publisher: Springer

This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory
Commutative Algebra, Volume I
Language: en
Pages: 352
Authors: Oscar Zariski, Pierre Samuel
Categories: Mathematics
Type: BOOK - Published: 2019-11-13 - Publisher: Courier Dover Publications

A precise, fundamental study of commutative algebra, this largely self-contained treatment is the first in a two-volume set. Intended for advanced undergraduates and graduate students in mathematics, its prerequisites are the rudiments of set theory and linear algebra, including matrices and determinants. The opening chapter develops introductory notions concerning groups,
Commutative Algebra II
Language: en
Pages: 416
Authors: O. Zariski, P. Samuel
Categories: Mathematics
Type: BOOK - Published: 1976-03-29 - Publisher: Springer Science & Business Media

From the Preface: "topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra... the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered throughout the exposition. Thus, this volume can be