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

Princeton University Press 2014; US$ 64.00In 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...

#### Real And Complex Singularities

CRC Press 2003; US$ 275.00This 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$ 108.00A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings. more...

#### Singularities of Differentiable Maps, Volume 1

Birkhäuser Boston 2012; US$ 79.95This first of two volumes deals with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities, beginning at a basic level that presupposes a limited mathematical background. more...

#### Singularities of Differentiable Maps, Volume 2

Birkhäuser Boston 2012; US$ 89.95This reprint covers anatomy and physiology of singularities of differentiable functions. Includes the topological structure of isolated critical points of holomorphic functions, the asymptotic behavior of integrals of the method of stationary phase, and more. more...