Book Details

Computational Commutative Algebra 2

Publication year: 2005

ISBN: 978-3-540-28296-9

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The main part of this book is a breathtaking passeggiata through the computational domains of graded rings and modules and their Hilbert functions. Besides Gröbner bases, we encounter Hilbert bases, border bases, SAGBI bases, and even SuperG bases. The tutorials traverse areas ranging from algebraic geometry and combinatorics to photogrammetry, magic squares, coding theory, statistics, and automatic theorem proving. Whereas in the first volume gardening and chess playing were not treated, in this volume they are. This is a book for learning, teaching, reading, and most of all, enjoying the topic at hand. The theories it describes can be applied to anything from children's toys to oil production. If you buy it, probably one spot on your desk will be lost forever!


Subject: Mathematics and Statistics, Algebra, Gröbner bases, Hilbert functions, coding theory, commutative algebra, computer algebra, multigraded rings