Complex Singularities

Vladimir I. Arnold
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Vladimir I. Arnold: Steklov Mathematical Institute

Chapter 15 in Catastrophe Theory, 1992, pp 89-101 from Springer

Abstract: Abstract Mathematicians know well that going over to the complex case usually simplifies a problem, rather than making it more complicated. For example, every algebraic equation of degree n has exactly n complex roots, while it is a difficult problem to find the number of real roots.

Keywords: Riemann Surface; Complex Root; Multiple Root; Real Plane; Nonsingular Curve (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-642-58124-3_15

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