000 02589cam a2200301zu 4500
001 88949274
003 FRCYB88949274
005 20250108003016.0
006 m o d
007 cr un
008 250108s2016 fr | o|||||0|0|||eng d
020 _a9781683922643
035 _aFRCYB88949274
040 _aFR-PaCSA
_ben
_c
_erda
100 1 _aHoffman, J. William
245 0 1 _aCommutative Algebra
_bAn Introduction
_c['Hoffman, J. William', 'Jia, Xiaohong', 'Wang, Haohao']
264 1 _bMercury Learning and Information
_c2016
300 _a p.
336 _btxt
_2rdacontent
337 _bc
_2rdamdedia
338 _bc
_2rdacarrier
650 0 _a
700 0 _aHoffman, J. William
700 0 _aJia, Xiaohong
700 0 _aWang, Haohao
856 4 0 _2Cyberlibris
_uhttps://international.scholarvox.com/netsen/book/88949274
_qtext/html
_a
520 _aThe purpose of this book is twofold: to present some basic ideas in commutative algebra and algebraic geometry and to introduce topics of current research, centered around the themes of Gröbner bases, resultants and syzygies. The presentation of the material combines definitions and proofs with an emphasis on concrete examples. The authors illustrate the use of software such as Mathematica and Singular. The design of the text in each chapter consists of two parts: the fundamentals and the applications, which make it suitable for courses of various lengths, levels, and topics based on the mathematical background of the students. The fundamentals portion of the chapter is intended to be read with minimal outside assistance, and to learn some of the most useful tools in commutative algebra. The applications of the chapter are to provide a glimpse of the advanced mathematical research where the topics and results are related to the material presented earlier. In the applications portion, the authors present a number of results from a wide range of sources without detailed proofs. The applications portion of the chapter is suitable for a reader who knows a little commutative algebra and algebraic geometry already, and serves as a guide to some interesting research topics.This book should be thought of as an introduction to more advanced texts and research topics. Its novelty is that the material presented is a unique combination of the essential methods and the current research results. The goal is to equip readers with the fundamental classical algebra and geometry tools, ignite their research interests, and initiate some potential research projects in the related areas.
999 _c78238
_d78238