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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...

#### 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...

#### Lectures on Resolution of Singularities (AM-166)

Princeton University Press 2009; US$ 55.00Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollár goes back to the original sources and presents... 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...

#### REAL AND COMPLEX SINGULARITIES

World Scientific Publishing Company 2007; US$ 310.00The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems. It is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. Presented by internationally recognized experts, the collection... more...

#### Real and Complex Singularities

Birkhäuser Basel 2007; US$ 179.00This volume collects papers presented at the eighth São Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. Like the workshop, this collection establishes the state of the art and presents new trends, new ideas and new results in all of the branches of singularities. Real and Complex Singularities offers a useful... more...

#### Singularities In Geometry And Topology

World Scientific Publishing Company 2007; US$ 412.00Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities... more...

#### Singularity Theory

World Scientific Publishing Company 2007; US$ 412.00The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory. The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general... more...

#### On the Topology of Isolated Singularities in Analytic Spaces

Birkhäuser Basel 2006; US$ 99.00Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. more...