An Introduction to Grobner Bases

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  • An Introduction to Grobner Bases Book Detail

  • Author : William Wells Adams
  • Release Date : 1994
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 305
  • ISBN 13 : 0821838040
  • File Size : 89,89 MB

An Introduction to Grobner Bases by William Wells Adams PDF Summary

Book Description: As the primary tool for doing explicit computations in polynomial rings in many variables, Gröbner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Gröbner bases and their applications. Adams and Loustaunau cover the following topics: the theory and construction of Gröbner bases for polynomials with coefficients in a field, applications of Gröbner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Gröbner bases in modules, and the theory of Gröbner bases for polynomials with coefficients in rings. With over 120 worked examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.

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An Introduction to Grobner Bases

An Introduction to Grobner Bases

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As the primary tool for doing explicit computations in polynomial rings in many variables, Gröbner bases are an important component of all computer algebra sys

An Introduction to Grobner Bases

An Introduction to Grobner Bases

File Size : 21,21 MB
Total View : 9973 Views
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A very carefully crafted introduction to the theory and some of the applications of Grobner bases ... contains a wealth of illustrative examples and a wide vari

An Introduction to Gröbner Bases

An Introduction to Gröbner Bases

File Size : 17,17 MB
Total View : 3360 Views
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Grobner-Basen werden von Mathematikern und Informatikern zunehmend fur eine breite Palette von Anwendungen genutzt, in denen die algorithmische algebraische Geo