Real Algebraic Geometry

• Main Author: Arnold, Vladimir I. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Itenberg, Ilia (Editor), Kharlamov, Viatcheslav (Editor), Shustin, Eugenii I. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: UNITEXT, 66
• Subjects: Mathematics.; Algebraic geometry.; Mathematical physics.; Geometry.; Physics.; Algebraic Geometry.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.

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 pro...

Table of Contents:

• 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.