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Real Algebraic Geometry

Real Algebraic Geometry
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Field name Details
Dewey Class 516.35 (DDC 23)
Title Real Algebraic Geometry ([Ebook]) / by Vladimir I. Arnold ; edited by Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin.
Author Arnold, Vladimir Igorevic , 1937-2010
Added Personal Name Itenberg, Ilia
Kharlamov, Viatcheslav
Shustin, Eugenii I.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer
, 2013.
Physical Details IX, 100 pages: 126 illus. : online resource.
Series Unitext 2038-5714 ; ; 66
ISBN 9783642362439
Summary Note 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).:
Contents note 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.
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