V I Arnold

(Author)

Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts (2012)Paperback - 2012, 24 May 2012

Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts (2012)
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Part of Series
Modern Birkhäuser Classics
Part of Series
Modern Birkhauser Classics
Part of Series
Modern Birkh User Classics
Print Length
282 pages
Language
English
Publisher
Birkhauser
Date Published
24 May 2012
ISBN-10
0817683399
ISBN-13
9780817683399

Description

​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.

Product Details

Authors:
V I ArnoldS M Gusein-ZadeAlexander N Varchenko
Book Edition:
2012
Book Format:
Paperback
Country of Origin:
NL
Date Published:
24 May 2012
Dimensions:
23.39 x 15.6 x 2.06 cm
ISBN-10:
0817683399
ISBN-13:
9780817683399
Language:
English
Location:
Boston, MA
Pages:
282
Publisher:
Weight:
553.38 gm

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