This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.

Cr�ticas

"... Fazit: das Buch ist kein Lehrbuch im traditionellen Sinn. Sicherlich ist Teil I eine gelungene Einf�hrung, wenn man schon die elementaren Grundlagen der Algebraischen oder Analytischen Geometrie kennt. In Teil II ist das Buch aber eher wie ein Tagungsband, in dem einzelne Spezialisten ihre Themen vorstellen. Hier kann man sich etwas aussuchen, denn die Artikel sind unabh�ngig voneinander. ... Ich habe beim Lesen viele interessante Stellen gefunden, die man beim fl�chtigen Durchbl�ttern �bersehen kann. Man muss sich Zeit nehmen, dann wird der Band wirklich zum Gewinn f�r alle, die Interesse an Algebraischer Geometrie haben."

S.M�ller-Stach, Jahresberichte der DMV 2002, Bd. 104, Heft 4

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