Singularities of Mappings The Local Behaviour of Smooth and Complex
The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings.Part I of the book develops the now classi
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David Mond Juan J. Nuño-Ballesteros
Singularities of Mappings The Local Behaviour of Smooth and Complex Analytic Mappings
Grundlehren der mathematischen Wissenschaften A Series of Comprehensive Studies in Mathematics Volume 357
Editors-in-Chief Alain Chenciner, IMCCE - Observatoire de Paris, Paris, France John Coates, Emmanuel College, Cambridge, UK S.R.S. Varadhan, Courant Institute of Mathematical Sciences, New York, NY, USA Series Editors Pierre de la Harpe, Université de Genève, Genève, Switzerland Nigel J. Hitchin, University of Oxford, Oxford, UK Antti Kupiainen, University of Helsinki, Helsinki, Finland Gilles Lebeau, Université de Nice Sophia-Antipolis, Nice, France Fang-Hua Lin, New York University, New York, NY, USA Shigefumi Mori, Kyoto University, Kyoto, Japan Bao Chau Ngô, University of Chicago, Chicago, IL, USA Denis Serre, UMPA, École Normale Supérieure de Lyon, Lyon, France Neil J. A. Sloane, OEIS Foundation, Highland Park, NJ, USA Anatoly Vershik, Russian Academy of Sciences, St. Petersburg, Russia Michel Waldschmidt, Université Pierre et Marie Curie Paris, Paris, France
Grundlehren der mathematischen Wissenschaften (subtitled Comprehensive Studies in Mathematics), Springer’s first series in higher mathematics, was founded by Richard Courant in 1920. It was conceived as a series of modern textbooks. A number of significant changes appear after World War II. Outwardly, the change was in language: whereas most of the first 100 volumes were published in German, the following volumes are almost all in English. A more important change concerns the contents of the books. The original objective of the Grundlehren had been to lead readers to the principal results and to recent research questions in a single relatively elementary and accessible book. Good examples are van der Waerden’s 2-volume Introduction to Algebra or the two famous volumes of Courant and Hilbert on Methods of Mathematical Physics. Today, it is seldom possible to start at the basics and, in one volume or even two, reach the frontiers of current research. Thus many later volumes are both more specialized and more advanced. Nevertheless, most books in the series are meant to be textbooks of a kind, with occasional reference works or pure research monographs. Each book should lead up to current research, without over-emphasizing the author’s own interests. There should be proofs of the major statements enunciated, however, the presentation should remain expository. Examples of books that fit this description are Maclane’s Homology, Siegel & Moser on Celestial Mechanics, Gilbarg & Trudinger on Elliptic PDE of Second Order, Dafermos’s Hyperbolic Conservation Laws in Continuum Physics ... Longevity is an important criterion: a GL volume should continue to have an impact over many years. Topics should be of current mathematical relevance, and not too narrow. The tastes of the editors play a pivotal role in the selection of topics. Authors are encouraged to follow their individual style, but keep the interests of the reader in mind when pres
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