Hal Schenck

Computational Algebraic Geometry

• Broschiertes Buch

Produktbeschreibung

Recent 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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 208
• Erscheinungstermin: 25. November 2010
• Englisch
• Abmessung: 229mm x 152mm x 12mm
• Gewicht: 346g
• ISBN-13: 9780521536509
• ISBN-10: 0521536502
• Artikelnr.: 21786490

Inhaltsangabe

Preface
1. Basics of commutative algebra
2. Projective space and graded objects
3. Free resolutions and regular sequences
4. Gröbner 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.