Algebraic Geometry: An Introduction (Universitext) - Image 1

£37.50

Springer Algebraic Geometry: An Introduction (Universitext)

Name: Algebraic Geometry: An Introduction (Universitext)
Brand: Springer
Price: 37.5 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 22 days • 22 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 22 days • 1 price levels

Days at Price

Price Analysis

Most common price: £38 (22 days, 100.0%)

Price range: £38 - £38

Price levels: 1 different prices over 22 days

Description

This book is built upon a basic second-year masters course given in 1991– 1992, 1992–1993 and 1993–1994 at the Universit´ e Paris-Sud (Orsay). The course consisted of about 50 hours of classroom time, of which three-quarters were lectures and one-quarter examples classes. It was aimed at students who had no previous experience with algebraic geometry. Of course, in the time available, it was impossible to cover more than a small part of this ?eld. I chose to focus on projective algebraic geometry over an algebraically closed base ?eld, using algebraic methods only. The basic principles of this course were as follows: 1) Start with easily formulated problems with non-trivial solutions (such as B´ ezout’s theorem on intersections of plane curves and the problem of rationalcurves).In1993–1994,thechapteronrationalcurveswasreplaced by the chapter on space curves. 2) Use these problems to introduce the fundamental tools of algebraic ge- etry: dimension, singularities, sheaves, varieties and cohomology. I chose not to explain the scheme-theoretic method other than for ?nite schemes (which are needed to be able to talk about intersection multiplicities). A short summary is given in an appendix, in which special importance is given to the presence of nilpotent elements. 3) Use as little commutative algebra as possible by quoting without proof (or proving only in special cases) a certain number of theorems whose proof is not necessary in practise. The main theorems used are collected in a summary of results from algebra with references. Some of them are suggested as exercises or problems.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1848000553
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 25 January 2008
Listed Since: 20 August 2007

Barcode

No barcode data available

Springer Algebraic Geometry: An Introduction (Universitext)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

An Introduction to Algebraic Geometry: A Computational Approach (Universitext)

Basic Algebraic Geometry (Springer Study Edition)

Elementary Algebraic Geometry (Student Mathematical Library)

Beginning in Algebraic Geometry (Undergraduate Texts in Mathematics)

Algebraic Geometry: Notes on a Course (Graduate Studies in Mathematics)

An Algebraic Approach to Geometry: Geometric Trilogy II

Algebraic Geometry and Commutative Algebra (Universitext)

Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises (Springer Studium Mathematik - Master)

Introduction to Algebraic Geometry (Graduate Studies in Mathematics)

Kommutative Algebra und Algebraische Geometrie

Plane Algebraic Curves (Student Mathematical Library)

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)

Algebraic Geometry I: Complex Projective Varieties (Classics in Mathematics)

Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)

Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics): 6

Projective Geometry: Solved Problems and Theory Review: 104 (UNITEXT, 104)

Affine Algebraic Geometry: Geometry Of Polynomial Rings: 11 (Series on University Mathematics)

Basic Homological Algebra: 196 (Graduate Texts in Mathematics, 196)

Introduction to Singularities

Effective Methods in Algebraic Geometry: 94 (Progress in Mathematics)

The Practice of Algebraic Curves: A Second Course in Algebraic Geometry: 250 (Graduate Studies in Mathematics)

The Practice of Algebraic Curves: A Second Course in Algebraic Geometry: 250 (Graduate Studies in Mathematics)

An Introduction to C*-Algebras and Noncommutative Geometry (Birkhäuser Advanced Texts Basler Lehrbücher)

An Introduction to C*-Algebras and Noncommutative Geometry (Birkhäuser Advanced Texts Basler Lehrbücher)