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#### 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...

#### Frobenius Manifolds and Moduli Spaces for Singularities

Cambridge University Press 2002; US$ 114.00Theory of Frobenius manifolds, as well as all the necessary tools and several applications. 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...

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

Springer 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...

#### 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...

#### 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

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...

#### 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...

#### Real and Complex Singularities

Springer 2007; US$ 179.00Contains papers presented at the eighth workshop, held at the IML, Marseille, July 19-23, 2004. This work discusses topics such as: equisingularity of sets and mappings, geometry of singular complex analytic sets, singularities of mappings, characteristic classes, classification of singularities, among others. more...

#### Singular Points of Plane Curves

Cambridge University Press 2004; US$ 70.00Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere. more...