This is a compact guide to the principles and main applications of Singularity Theory by one of the worldas top research groups. It includes a number of new results as well as a carefully prepared and extensive bibliography that makes it easy to find the necessary details. Itas ideal for any mathematician or physicist interested in modern mathematical analysis.The Newton Diagram. Consider the space Caquot; with a fixed coordinate System X1, . .., Xn. Definition. We shall call the function x* = x*x?... xa#39; monomial with exponent k = (k1, k2, ..., k, ), ki e Z1. The exponent of a monomial specifies a point of theanbsp;...

Title | : | Singularity Theory I |

Author | : | V.I. Arnold, V.V. Goryunov, O.V. Lyashko, V.A. Vasil'ev |

Publisher | : | Springer Science & Business Media - 2012-12-06 |

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