Recently, I'm tired of those theoretical parts on commuative algebra. So I hope that someone could recommend me some good textbooks on SINGULAR and Macaulay 2. And I'm wondering whether SINGULAR is better that Macaulay 2?
Thank you in advance!
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Sign up to join this communityRecently, I'm tired of those theoretical parts on commuative algebra. So I hope that someone could recommend me some good textbooks on SINGULAR and Macaulay 2. And I'm wondering whether SINGULAR is better that Macaulay 2?
Thank you in advance!
Two remarks:
Macauly 2 and Singular share the same computational engine (singular) so none if them is "better" in any real sense
the best book+software combination I know of is COCOA plus the two volumes of "computational commutative algebra". My "issue" with the singular book is that it's too basic, and with the Macauly book that it's simply a compendium of articles, and not a real text book.
It is not true that Singular and Macaulay 2 use the same "computational engine (singular)"
As far as books are concerned -
"Computational Algebraic Geometry'', by Hal Schenck is fantastic. Cambridge University Press, (2003).
http://www.amazon.com/Computational-Algebraic-Geometry-Mathematical-Society/dp/0521536502
In addition to the Macaulay 2 book, there's a book called "A Singular Introduction to Commutative Algebra" by Greuel and Pfister (developers of Singular). Both of these books are good for references, but the books by Cox, Little, and O'Shea are better for reading, I think.
Also in the book: "Introduction to singularities and deformations" by Gruel, Lossen and Shustin, you can find a lot of material on Singular.
I found this:
Computations in Algebraic Geometry with Macaulay 2
Series: Algorithms and Computation in Mathematics, Vol. 8 Eisenbud, D.; Grayson, D.R.; Stillman, M.; Sturmfels, B. (Eds.) 2002, XVI, 329 p., Hardcover ISBN: 978-3-540-42230-3
Which is available here: http://www.math.uiuc.edu/Macaulay2/Book/ComputationsBook/book/book.pdf