REAL AND COMPLEX SINGULARITIES
(With CD-ROM)
Proceedings of the Australian-Japanese Workshop
University of Sydney, Australia, 5 – 8 September 2005
edited by Laurentiu Paunescu (University of Sydney, Australia) , Adam Harris (University of New England, Australia) , Toshizumi Fukui (Saitama University, Japan) , & Satoshi Koike (Hyogo University of Teacher Education, Japan)
Table of Contents (60k)
Preface (46k)
Chapter 1: Integral curves for contact and Engel structures (1,410k)
The 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 overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.
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