Real Algebraic Geometry

Title	Real Algebraic Geometry Volume 66 of UNITEXT / La Matematica Per Il 3+2
Author	Vladimir I. Arnold
Editors	Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin
Translated by	Gerald G. Gould, David Kramer
Edition	illustrated
Publisher	Springer London, Limited, 2013
ISBN	3642362427, 9783642362422
Length	100 pages

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).

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