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 Gr?bner bases, we encounter Hilbert bases,
Computational Commutative Algebra
β 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.
β¦ 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.
π SIMILAR VOLUMES
Bridges the current gap in the literature between theory and real computation of Groebner bases and their applications. A comprehensive guide to both the theory and practice of computational commutative algebra, ideal for use as a textbook for graduate or undergraduate students. Contains tutorials o
We give a self-contained exposition of Mayr & Meyer's example of a polynomial ideal exhibiting double exponential degrees for the ideal membership problem, and generalise this example to exhibit minimal syzygies of double exponential degree. This demonstrates the existence of subschemes of projectiv
The main topic of this book is that of Groebner bases and their applications. The main purpose of this book is that of bridging the current gap in the literature between theory and real computation. The book can be used by teachers and students alike as a comprehensive guide to both the theory and t
Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation,