Real algebraic geometry

Author(s)

• Arnolʹd, Vladimir Igorevich
• Gould, Gerald G.
• Kramer, David

Bibliographic Information

Real algebraic geometry

Vladimir I. Arnold ; translated by Gerald G. Gould and David Kramer

（Collana unitext, v. 66 . La matematica per il 3+2）

Springer, c2013

Other Title

Veshchestvennaya algebraicheskaya geometriya

Вещественная алгебраическая геометрия

Note

"Originally published as "Veshchestvennaya algebraicheskaya geometriya," MCCME (c) 2009"--T.p. verso

Description and Table of Contents

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 Contents

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 "Nielsen BookData"

Details

• NCID: BB12460869
• ISBN:
  • 9783642362422
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Berlin
• Pages/Volumes: ix, 100 p.
• Size: 24 cm
• Classification:
  • SG : 510
• Parent Bibliography ID:
  • BA70431306