Real Algebraic Geometry
Real Algebraic Geometry
Arnold, Vladimir I.
creator
author.
text
gw
Heidelberg
Springer- Verlage
2013
monographic
eng
ix, 100p.
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).
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.
by Vladimir I. Arnold ; edited by Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin.
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Mathematics
Geometry, algebraic
Geometry
Mathematical physics
Mathematics
Algebraic Geometry
Mathematical Methods in Physics
Geometry
Mathematical Applications in the Physical Sciences
QA564-609
516.35 AR65R
SpringerLink ebooks - Mathematics and Statistics (2013)
9783642362422 (Pbk)
License restrictions may limit access.
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20161109132703.0
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