Stock image for illustration purposes only - book cover, edition or condition may vary.
Computational Methods in Commutative Algebra and Algebraic Geometry
Wolmer Vasconcelos
FREE Delivery in Ireland
Description for Computational Methods in Commutative Algebra and Algebraic Geometry
Paperback. This volume of the ACM series is devoted to research in computational techniques in commutative algebra. It addresses advanced students and researchers in this field, as well as computer scientists and programmers developing symbolic computation software. Series: Algorithms and Computation in Mathematics. Num Pages: 422 pages, biography. BIC Classification: PBG; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 22. Weight in Grams: 597.
From the reviews:
"... Many parts of the book can be read by anyone with a basic abstract algebra course... it was one of the author's intentions to equip students who are interested in computational problems with the necessary algebraic background in pure mathematics and to encourage them to do further research in commutative algebra and algebraic geometry. But researchers will also benefit from this exposition. They will find an up-to-date description of the related research ... The reviewer recommends the book to anybody who is interested in commutative algebra and algebraic geometry and its computational aspects."
Math. ... Read moreReviews 2002
"... a sophisticated notebook, with plenty of suggestions, examples and cross references ... It is a welcome new and deep exploration into commutative algebra and its relations with algebraic geometry. It is full of results, from simple tricks to more elaborate constructions, all having in common a computational and constructive nature..."
Jahresberichte der DMV 1999
Show Less
Product Details
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Series
Algorithms and Computation in Mathematics
Place of Publication
Berlin, Germany
Shipping Time
Usually ships in 15 to 20 working days
Reviews for Computational Methods in Commutative Algebra and Algebraic Geometry
From the reviews of the hardcover edition: "... Many parts of the book can be read by anyone with a basic abstract algebra course. It seems to the reviewer that it was one of the author's intentions to equip students who are interested in computational problems with the necessary algebraic background in pure mathematics and to encourage ... Read morethem to do further research in commutative algebra and algebraic geometry. But researchers will also benefit from this exposition. They will find an up-to-date description of the related research. ... The reviewer recommends the book to anybody who is interested in commutative algebra and algebraic geometry and its computational aspects." (P.Schenzel, Mathematical Reviews 2002) "... I would describe this book as a sophisticated notebook, with plenty of suggestions, examples and cross references, reporting on the work of Vasconcelos himself and of many others. ... It is a welcome new and deep exploration into commutative algebra and its relations with algebraic geometry. It is full of results, from simple tricks to more elaborate constructions, all having in common a computational and constructive nature. It will be a gold mine especially for those commutative algebraists who share with Vasconcelos the tast for a homological point of view. ..." (E.Sernesi, Jahresberichte der DMV 1999, Vol. 101, Issue 4) "... Das Buch ist ... kein Lehrbuch im herkömmlichen Verständnis, obwohl für Graduiertenseminare bei entsprechenden Vorkenntnissen durchaus geeignet (und vom Autor auf verschiedenen Sommerschulen auch bereits eingesetzt). Es beginnt im wesentlichen dort, wo in den oben genannten grundlegenderen Monographien insbesondere konstruktive Aspekte nicht weiter vertieft werden und ist damit ein Mosaikstein im wirklichen Sinne. Es ist zugleich keine Monographie im herkömmlichen Verständnis, die sich an einem engen Thema erschöpfend abarbeitet, sondern mehr eine Fundgrube von Ideenund Ansätzen, in denen die verschiedensten Techniken der kommutativen Algebra bis hin zu tiefliegenden homologischen Methoden zusammenspielen. Sie sind, wie vom Autor gewohnt, oft unterschiedlich detailliert ausgearbeitet, beleuchten aber an vielen Stellen Querverbindungen, die man in dieser Konstellation in anderen Arbeiten selten findet. Für ein detailliertes Studium insbesondere von Fragestellungen, die in den späteren Kapiteln aufgegriffen werden, wird der Leser deshalb kaum um die Konsultation der entsprechenden Zeitschriftenaufsätze herumkommen, sofern er sie nicht sowieso schon kennt. Als guter Leitfaden für ein solches Unterfangen ist das vorliegnede Buch allerdings bestens geeignet und deshalb jedem, der sich ernsthaft mit konstruktiven Methoden in der kommutativen Algebra beschäftigen möchte, zu empfehlen. ..." (H.-G. Gräbe, Computeralgebra Rundbrief GI-DMV-GAMM, Nr. 22, März 1998) Show Less
.png){kind=logo}