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Real and Complex Singularitiesby Marcelo J. Saia
Marcel Dekker Inc 2003; US$ 199.95This 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. more...
Frobenius Manifolds and Moduli Spaces for Singularitiesby Claus Hertling; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak
Cambridge University Press 2002; US$ 107.00The author presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications. Readers will find here a careful study of this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students wishing to work in this area. more...
On the Topology of Isolated Singularities in Analytic Spacesby Jose Seade
Springer 2005; US$ 79.95Offers 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...
Singular Points of Plane Curvesby C. T. C. Wall
Cambridge University Press 2004; US$ 62.00The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is an original synthesis, with new views and results not found elsewhere. more...
Polynomials and Vanishing Cyclesby Mihai Tibar
Cambridge University Press 2007; US$ 100.00A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings. more...
Singularities In Geometry And Topologyby Jean-Paul Brasselet; James Damon; Lę Dung Tráng
World Scientific 2007; US$ 205.40Singularity 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 in geometry and topology. The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field. more...
Singularity Theoryby Denis Chéniot; Nicolas Dutertre; Claudio Murolo
World Scientific 2007; US$ 205.40The 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 lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities. more...
Real and Complex Singularitiesby Jean-Paul Brasselet; Maria Aparecida Soares Ruas
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...
Lectures on Resolution of Singularities (AM-166)by János Kollár
Princeton University Press 2007; US$ 46.95Resolution 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 them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written in an informal yet lucid style, this book is aimed at readers who are interested in both the historical roots of the modern methods and... more...
REAL AND COMPLEX SINGULARITIESby Laurentiu Paunescu; Adam Harris; Toshizumi Fukui
World Scientific 2007; US$ 293.00The 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 of articles in this volume yields a significant cross-section of these developments. The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an... more...
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