Format:
Online-Ressource (IX, 100 p. 126 illus, digital)
ISBN:
9783642362439
Series Statement:
UNITEXT 66
Content:
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.
Content:
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).
Note:
Description based upon print version of record
,
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.
Additional Edition:
ISBN 9783642362422
Additional Edition:
Erscheint auch als Druck-Ausgabe Arnolʹd, V. I., 1937 - 2010 Real algebraic geometry Berlin : Springer, 2013 ISBN 3642362427
Additional Edition:
ISBN 9783642362422
Language:
English
Subjects:
Mathematics
Keywords:
Reelle algebraische Geometrie
;
Reelle algebraische Geometrie
DOI:
10.1007/978-3-642-36243-9
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Arnolʹd, V. I. 1937-2010
Author information:
Itenberg, Il'ja V. 1966-
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