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＜E-Book＞
Real Algebraic Geometry / by Vladimir I. Arnold ; edited by Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin
(La Matematica per il 3+2. ISSN:20385757 ; 66)

Edition	1st ed. 2013.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2013
Language	English
Size	IX, 100 p. 126 illus : online resource
Authors	*Arnold, Vladimir I author Itenberg, Ilia editor Kharlamov, Viatcheslav editor Shustin, Eugenii I editor SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Mathematical physics LCSH:Geometry FREE:Algebraic Geometry FREE:Mathematical Methods in Physics FREE:Geometry FREE:Mathematical Physics
Notes	Publisher's Foreword -- Editors' Foreword -- Introduction -- 2 Geometry of Conic Sections -- 3 The Physics of Conic Sections and Ellipsoids -- 4 Projective Geometry -- 5 Complex Algebraic Curves -- 6 A Problem for School Pupils -- A Into How Many Parts do n Lines Divide the Plane?- Editors' Comments on Gudkov's Conjecture -- Notes 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) HTTP:URL=https://doi.org/10.1007/978-3-642-36243-9

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