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Overview"Singularity theory stands at a cross-road of mathematics, a meeting point where manyareasofmathematicscometogether,suchasgeometry,topologyandalgebra, analysis,di?erential equations and dynamical systems, combinatoricsand number theory, to mention some of them. Thus, one who would write a book about this fascinatingtopicnecessarilyfacesthechallengeofhavingtochoosewhattoinclude and,mostdi?cult,whatnottoinclude. Acomprehensivetreatmentofsingularities would have to consist of a collection of books, which would be beyond our present scope. Hence this work does not pretend to be comprehensive of the subject, neither is it a text book with a systematic approachto singularitytheory asa core idea. Thisisrather a collectionof essaysonselected topicsaboutthe topologyand geometry of real and complex analytic spaces around their isolated singularities. I have worked in the area of singularities since the late 1970s, and during this time have had the good fortune of encountering many gems of mathematics concerningthetopologyofsingularitiesandrelatedtopics,masterpiecescreatedby greatmathematicians like Riemann, Klein and Poincar' e,then Milnor, Hirzebruch, Thom, Mumford, Brieskorn, Atiyah, Arnold, Wall, LeDung "" Tran ' g, Neumann, Looijenga, Teissier, and many more whose names I cannot include since the list would be too long and, even that, I would leave aside important names. My own research has always stood on the shoulders of all of them. In taking this broad approach I realize how di?cult it is to present an overall picture of the myriad of outstanding contributions in this area of mathematics during the last century, since they are scattered in very many books and research articles." Full Product DetailsAuthor: José SeadePublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2006 ed. Volume: 241 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 0.547kg ISBN: 9783764373221ISBN 10: 3764373229 Pages: 238 Publication Date: 18 November 2005 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsA Fast Trip Through the Classical Theory.- Motions in Plane Geometry and the 3-dimensional Brieskorn Manifolds.- 3-dimensional Lie Groups and Surface Singularities.- Within the Realm of the General Index Theorem.- On the Geometry and Topology of Quadrics in ??n.- Real Singularities and Complex Geometry.- Real Singularities with a Milnor Fibration.- Real Singularities and Open Book Decompositions of the 3-sphere.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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