Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) 2005th Edition by Wolmer Vasconcelos (PDF)

Description

This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

User’s Reviews

Editorial Reviews: Review From the reviews:”Wolmer Vasconocelos is an authoritative figure in commutative algebra today. … The book under review is an important undertaking and will likely represent an essential research tool for generations to come as well as a standard reference text. … The book is a tour de force in commutative algebra … . Wolmer Vasconcelos does a wonderful job presenting the big picture surrounding the concepts … . This book is recommended to graduate students and mathematicians … . It represents a great addition to the literature.” (Florian Enescu, Zentralblatt MATH, Vol. 1082, 2006)”Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. … It gives a comprehensive treatment of Rees algebra and multiplicity theory – while pointing to applications in many other problem areas. … This book is intended for graduate students and researchers in the fields mentioned above. It contains, besides exercises aimed at giving insights, numerous research problems motivated by the developments reported.” (L’Enseignement Mathematique, Vol. 51 (3-4), 2005)”The aim of this book is to provide a systematic account of several recent developments on integral closures of ideals and modules in many guises. … This book is addressed to readers who are familiar with basic concepts of commutative algebra, and it could be used for an advanced course … . Graduate students and researchers will find this book useful as a standard reference text on blowup algebras. It contains, besides exercises aimed at giving insights, numerous research problems motivated by recent developments.” (Ngô Viêt Trung, Mathematical Reviews, Issue 2006 m) About the Author Author’s homepage: http://www.math.rutgers.edu/~vasconce/Vasconcelos is a well-known top expert in commutative algebra. Author of Algorithms and Computation in Mathematics 2. ISBN: 3-540-21311-2. Via the existence of the ACM series he was won as a Springer author in 1995, being a CUP author before. This new book is a result of the good collaboration with him on ACM 2.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is written for the expert well steeped in the intricacies of commutative algebra and related fields. A full year grad course in abstract algebra followed by a course in CommAlge is the barest minimum and even then, the text assumes much of the reader: Koszul complexes and Cohen-Macaulay are not even defined and you are assumed to be well acquainted with projective resolutions as a tool. The title object, Rees Algebras, are examined in detail, but, again, you need to know a great deal about them before the book will make sense.Because of that, I give the book only 4 stars. It would have been more useful to a broader readership were it to have included more basic material and examples.

⭐

Keywords

Free Download Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) 2005th Edition in PDF format
Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) 2005th Edition PDF Free Download
Download Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) 2005th Edition 2005 PDF Free
Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) 2005th Edition 2005 PDF Free Download
Download Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) 2005th Edition PDF
Free Download Ebook Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) 2005th Edition