An Algebraic Approach to Geometry

DOI10.1007/978-3-319-01733-4zbMath1298.51002OpenAlexW658063459MaRDI QIDQ2849969

Francis Borceux

Publication date: 20 September 2013

Full work available at URL: https://doi.org/10.1007/978-3-319-01733-4

zbMATH Keywords

Euclidean spaceprojective spacemetric spacefundamental theorem of algebraaffine spaceprojective quadricbarycenterEuler's formulaSylvester's theoremduality principlePascal's theoremGram-Schmidt processalgebraic plane curvesFourier approximationRené DescartesLeonhard EulerBezout's theoremHermitian spaceHessian curveBrianchon's theoremreal affine spacePasch's theoremPierre de FermatEisenstein's criterionapproximation by the law of least squaresCramer's paradoxFano's theoremgroup of a cubicrational algebraic plane curveTaylor's formula for polynomials in one or more variablestopology of projective real spaces

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Projective techniques in algebraic geometry (14N05) Linear incidence geometric structures with parallelism (51A15) Euclidean analytic geometry (51N20) Affine analytic geometry (51N10) Projective analytic geometry (51N15) General histories, source books (01A05) Algebraic functions and function fields in algebraic geometry (14H05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01)

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