TY - BOOK
AU - Arnold, Vladimir I.
TI - Real Algebraic Geometry
SN - 9783642362
AV - QA564-609
U1 - 516.35 AR65R 23
PY - 2013///
CY - Heidelberg
PB - Springer- Verlage
KW - Mathematics
KW - Geometry, algebraic
KW - Geometry
KW - Mathematical physics
KW - Algebraic Geometry
KW - Mathematical Methods in Physics
KW - Mathematical Applications in the Physical Sciences
N1 - 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; License restrictions may limit access
N2 - 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)
ER -