TY - BOOK ID - 17063761 TI - Computational Commutative Algebra 2 AU - Kreuzer, Martin. AU - Robbiano, Lorenzo. PY - 2005 SN - 354067733X 3540255273 3540706283 3642064914 3540282963 9783540677338 9783540255277 PB - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, DB - UniCat KW - Gröbner bases KW - Commutative algebra KW - Grobner, Bases de KW - Algebre commutative KW - Data processing KW - Informatique KW - Commutative algebra -- Data processing. KW - Gröbner bases. KW - Gröbner basis theory KW - Mathematics. KW - Computer science KW - Algebra. KW - Algebraic geometry. KW - Computer mathematics. KW - Algorithms. KW - Computational Mathematics and Numerical Analysis. KW - Symbolic and Algebraic Manipulation. KW - Algebraic Geometry. KW - Data processing. KW - Algebra KW - Geometry, algebraic. KW - Algebraic geometry KW - Geometry KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Algorism KW - Arithmetic KW - Mathematics KW - Mathematical analysis KW - Foundations KW - Combinatorial analysis. KW - QA 150-272 Algebra. KW - Computer science—Mathematics. KW - Group theory. KW - Group Theory and Generalizations. KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Commutative algebra - Data processing KW - Algebre commutative - Informatique UR - https://www.unicat.be/uniCat?func=search&query=sysid:17063761 AB - Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 with some twists, starting with the differently coloured cover graphics. The first volume had 3 chapters, 20 sections, 44 tutorials, and some amusing quotes. Since bigger is better, this book contains 3 chapters filling almost twice as many pages, 23 sections (some as big as a whole chapter), and 55 tutorials (some as big as a whole section). The number of jokes and quotes has increased exponentially due to the little-known fact that a good mathematical joke is better than a dozen mediocre papers. 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! ER -