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Mathematics - Algebra | Real Algebraic Geometry

Real Algebraic Geometry

Series: UNITEXT, Vol. 66

Subseries: La Matematica per il 3+2

Arnold, Vladimir I.

Itenberg, Ilia, Kharlamov, Viatcheslav, Shustin, Eugenii I. (Eds.)

Translated by Gould, G.G.

2013, IX, 100 p. 126 illus.

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  • Written by one of the most eminent mathematicians of the 20th and 21st centuries
  • Masterful exposition
  • Lecture courses do not get better than this

This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.

At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century).

In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered).

Content Level » Lower undergraduate

Keywords » algebraic curves - conic sections - projective geometry

Related subjects » Algebra - Geometry & Topology - Theoretical, Mathematical & Computational Physics

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