aam a22 4500
213357
213357
191017b 2007 ||||| |||| 00| 0 eng d
9780521691413
516.35
H2I6
Hassett, Brendan
386706
Introduction to algebraic geometry
Cambridge University Press
2007
New York
xii, 252 p.
Table of Contens:
Introduction
1. Guiding problems
2. Division algorithm and Gröbner bases
3. Affine varieties
4. Elimination
5. Resultants
6. Irreducible varieties
7. Nullstellensatz
8. Primary decomposition
9. Projective geometry
10. Projective elimination theory
11. Parametrizing linear subspaces
12. Hilbert polynomials and Bezout
Appendix. Notions from abstract algebra
References
Index.
Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computation. Written for advanced undergraduate and graduate students in mathematics and researchers in application areas, it focuses on specific examples and restricts development of formalism to what is needed to address these examples. In particular, it introduces the notion of Gröbner bases early on and develops algorithms for almost everything covered. It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics.
https://www.cambridge.org/gb/academic/subjects/mathematics/geometry-and-topology/introduction-algebraic-geometry?format=PB&isbn=9780521691413
Geometry - Algebraic
386707
Mathematics
386708
Projective geometry
386709
ddc
BK
0
0
ddc
0
516_350000000000000_H2I6
0
NFIC
362729
VSL
VSL
GEN
2019-11-18
71
2.00
Slot 1384 (0 Floor, East Wing)
2
4
516.35 H2I6
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2021-07-01
2020-11-05
2020-11-05
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