Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts - Couverture souple

Arnold, V.I. I.; Gusein-Zade, S.M.; Varchenko, Alexander N.

 
9780817683399: Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts
Couverture souple
ISBN 10 : 0817683399 ISBN 13 : 9780817683399
Editeur : Birkhäuser, 2012

Synopsis

​Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science. The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities. The second volume describes the topological and algebro-geometrical aspects of the theory: monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities.

The first volume has been adapted for the needs of non-mathematicians, presupposing a limited mathematical background and beginning at an elementary level. With this foundation, the book's sophisticated development permits readers to explore more applications than previous books on singularities.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

'Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science. The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities. The second volume describes the topological and algebro-geometrical aspects of the theory: monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities. The first volume has been adapted for the needs of non-mathematicians, presupposing a limited mathematical background and beginning at an elementary level. With this foundation, the book's sophisticated development permits readers to explore more applications than previous books on singularities.

Présentation de l'éditeur

This first of two volumes deals with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities, beginning at a basic level that presupposes a limited mathematical background.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser
Date d'édition
2012
Langue
anglais
ISBN 10 
0817683399
ISBN 13 
9780817683399
Reliure
Broché
Nombre de pages
396
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781461295891: Singularities of Differentiable Maps: Volume I: The Classification of Critical Points Caustics and Wave Fronts

Edition présentée

ISBN 10 :  1461295890 ISBN 13 :  9781461295891
Editeur : Birkhäuser, 2011
Couverture souple