Real Algebraic Geometry 2013th Edition Vladimir I Arnold Ilia Itenberg by Vladimir I. Arnold, Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin, Gerald G. Gould 9783642362422, 3642362427 instant download after payment.

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).
Table of Contents
Real Algebraic Geometry
ISBN 9783642362422 ISBN 9783642362439
Publisher's Foreword
Foreword
Contents
Chapter 1 Introduction
Chapter 2 Geometry of Conic Sections
Chapter 3 The Physics of Conic Sections and Ellipsoids
Chapter 4 Projective Geometry
Chapter 5 Complex Algebraic Curves
Chapter 6 A Problem for School Pupils
Appendix A* Into How Many Parts Do n Lines Divide the Plane?
Editors' Comments on Gudkov's Conjecture