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Real Analytic and Algebraic Singularities (Chapman & Hall/CRC Research Notes in Mathematics Series)

Toshisumi Fukui

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ISBN 10: 0582328748 / ISBN 13: 9780582328747
Published by Chapman and Hall/CRC, 1997
Condition: Good Soft cover
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Title: Real Analytic and Algebraic Singularities (...

Publisher: Chapman and Hall/CRC

Publication Date: 1997

Binding: Paperback

Book Condition:Good

Edition: 1.

About this title

Synopsis:

This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.

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