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#### The Real Fatou Conjecture. (AM-144)

Princeton University Press 2014; US$ 57.50In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of... more...

#### Differentiable Germs and Catastrophes

Cambridge University Press 1975; US$ 48.00This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates. more...

#### Singularity Theory

Cambridge University Press 1999; US$ 88.00An up-to-date survey of research in singularity theory. more...

#### Real And Complex Singularities

Taylor and Francis 2003; US$ 262.00This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. The authors discuss irreducible plane curve singularities,... more...

#### Polynomials and Vanishing Cycles

Cambridge University Press 2007; US$ 102.00A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings. more...