Couverture Real Algebraic Geometry

Real Algebraic Geometry

Arnold, Vladimir I.Itenberg, IliaEditeurKharlamov, ViatcheslavEditeurShustin, Eugenii I.EditeurGould, Gerald G.Traduction

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Description

This book addresses the relationship between algebraic formulas and geometric images. In spite of the simplicity and importance of this problem, it remains unsolved to this day although, as the book shows, many remarkable results have been discovered.

Détails

ISBN/GTIN978-3-642-36242-2

Type de produitLivre

ReliureLivre de poche

ÉditeurSpringer

Date de parution03.05.2013

Edition2013

SérieLa Matematica per il 3+2

No. de série66

Pages120 pages

LangueAnglais

DimensionsLargeur 155 mm, Hauteur 235 mm, Épaisseur 7 mm

Poids195 g

Groupe de produitsSciences naturelles

CatégorieMathématique

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Auteur

Arnold, Vladimir I.Itenberg, IliaEditeurKharlamov, ViatcheslavEditeurShustin, Eugenii I.EditeurGould, Gerald G.Traduction

Vladimir Arnold is one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. His first mathematical work, which he did being a third-year student, was the solution of the 13th Hilbert problem about superpositions of continuous functions. His early work on KAM (Kolmogorov, Arnold, Moser) theory solved some of the outstanding problems of mechanics that grew out of fundamental questions raised by Poincare and Birkhoff based on the discovery of complex motions in celestial mechanics. In particular, the discovery of invariant tori, their dynamical implications, and attendant resonance phenomena is regarded today as one of the deepest and most significant achievements in the mathematical sciences. Arnold has been the advisor to more than 60 PhD students, and is famous for his seminar which thrived on his ability to discover new and beautiful problems. He is known all over the world for his textbooks which include the classics Mathematical Methods of Classical Mechanics, and Ordinary Differential Equations, as well as the more recent Topological Methods m Hydrodynamics written together with Boris Khesin, and Lectures on Partial Differential Equations.