Naturally, we hope that the final result proves our efforts worthwhile. Writing a book about Computational Commutative Algebra is not unlike computing a Gr¨ obner basis: you need unshakeable faith to believe that the project will ever end likewise, you must trust in the Noetherianity of polynomial rings to believe that Buchberger’s Algorithm will ever terminate. Clearly we had ample opportunity to experience the full force of Hofstadter’s Law. Three years of intense work just to fill three centimeters of your bookshelf! This amounts to about one centimeter per year, or roughly two-fifths of an inch per year if you are non-metric. But for us, for our families and friends, it has been known as the book over the last three years. Hofstadter)ĭear Reader, what you are holding in your hands now is for you a book. Hofstadter’s Law: It always takes longer than you think it will take, even if you take into account Hofstadter’s Law. Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo Hong Kong Barcelona Budapest Computational Commutative Algebra 1 July 3, 2000
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