ENGLISH

Real Algebraic Geometry

By Vladimir I. Arnold , Eugenii I. Shustin , Ilia Itenberg , Viatcheslav Kharlamov , Gerald G. Gould

Book information

Publisher
Springer
Year
2013
ISBN
3642362427, 9783642362422
Language
english
Format
PDF
Filesize
3 MB (2685195 bytes)
Series
UNITEXT / La Matematica per il 3+2
Edition
2013
Pages
112\112
Topic
Mathematics Algebra
Scanned
no
Time added
2013-05-07 05:02:28

Description

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 ContentsReal Algebraic GeometryISBN 9783642362422 ISBN 9783642362439Publisher's ForewordForewordContentsChapter 1 IntroductionChapter 2 Geometry of Conic SectionsChapter 3 The Physics of Conic Sections and EllipsoidsChapter 4 Projective GeometryChapter 5 Complex Algebraic CurvesChapter 6 A Problem for School PupilsAppendix A* Into How Many Parts Do n Lines Divide the Plane?Editors' Comments on Gudkov's Conjecture

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