Computational Algebraic Geometry
Lieferbar innert 2 Wochen
BeschreibungRecent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.
InhaltsverzeichnisPreface; 1. Basics of commutative algebra; 2. Projective space and graded objects; 3. Free resolutions and regular sequences; 4. Grobner bases; 5. Combinatorics and topology; 6. Functors: localization, hom, and tensor; 7. Geometry of points; 8. Homological algebra, derived functors; 9. Curves, sheaves and cohomology; 10. Projective dimension; A. Abstract algebra primer; B. Complex analysis primer; Bibliography.
Pressestimmen'The book is written in a terse but energetic style - Schenck is clearly in love with the material ... any student who completes this book will be excited about algebraic geometry and well-equipped for further reading.' Bulletin of the American Mathematical Society 'It is a very good introduction to this circle of ideas and it will undoubtedly attract the interest of students to the field.' European Mathematical Society Newsletter 'It is brief, informal and provides many examples - all attributes that many other algebraic geometry books lack! ... its role is to stimulate and outline rather than to give an encyclopedic treatment, and in this it succeeds very well.' Australian Mathematical Society Gazette 'It is a very good introduction to this circle of ideas and it will undoubtedly attract the interest of students to the field.' EMS Newsletter
Untertitel: Sprache: Englisch.
Verlag: CAMBRIDGE UNIVERSITY PRESS
Erscheinungsdatum: Oktober 2003