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Computational Commutative Algebra

✍ Scribed by Martin Kreuzer, Lorenzo Robbiano


Book ID
127396650
Publisher
Springer Berlin Heidelberg
Year
2009
Tongue
English
Weight
685 KB
Category
Library
ISBN
364208723X

No coin nor oath required. For personal study only.

✦ Synopsis


This book is the natural continuation of Computational Commutative Algebra 1 with some twists.
The main part of this book is a breathtaking passeggiata through the computational domains of graded rings and modules and their Hilbert functions. Besides GrΓΆbner 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.


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