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Topics On Real And Complex Singularities


Topics On Real And Complex Singularities
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Topics On Real And Complex Singularities


Topics On Real And Complex Singularities
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Author : Satoshi Koike
language : en
Publisher: World Scientific
Release Date : 2014-04-02

Topics On Real And Complex Singularities written by Satoshi Koike and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-02 with Mathematics categories.


A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity theory is to explore the properties of singular points of functions and mappings.This is a volume on the proceedings of the fourth Japanese-Australian Workshop on Real and Complex Singularities held in Kobe, Japan. It consists of 11 original articles on singularities. Readers will be introduced to some important new notions for characterizations of singularities and several interesting results are delivered. In addition, current approaches to classical topics and state-of-the-art effective computational methods of invariants of singularities are also presented. This volume will be useful not only to the singularity theory specialists but also to general mathematicians.



Real And Complex Singularities


Real And Complex Singularities
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Author : James William Bruce
language : en
Publisher: CRC Press
Release Date : 1999-08-26

Real And Complex Singularities written by James William Bruce and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-26 with Mathematics categories.


The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that benefit from developments in the theory. With singularity theory encompassing more and more applications, Real and Complex Singularities provides insight into the future of this expanding field. Comprising refereed contributions to the Fifth Workshop on Real and Complex Singularities, this volume addresses three important areas related to the broad subject of singularities. The first section deals with questions within singularity theory itself, representing the topics currently being investigated. The second explores applications of singularity theory to differential geometry, robotics, and computer vision. The final section consists of applications to bifurcation theory and dynamical systems. With over two-hundred tables that provide quick access to data, this volume is a complete overview of the most current topics and applications of singularity theory. Real and Complex Singularities creates the opportunity for you to stay up-to-date with recent advances and discover promising directions for future research in the field.



Topics On Real And Complex Singularities


Topics On Real And Complex Singularities
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Author : Alexandru Dimca
language : de
Publisher: Springer-Verlag
Release Date : 2013-07-02

Topics On Real And Complex Singularities written by Alexandru Dimca and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-02 with Mathematics categories.




Recent Topics On Real And Complex Singularities


Recent Topics On Real And Complex Singularities
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Author :
language : ja
Publisher:
Release Date : 2006

Recent Topics On Real And Complex Singularities written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.




Real And Complex Singularities


Real And Complex Singularities
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Author : Ana Claudia Nabarro
language : en
Publisher:
Release Date : 2016

Real And Complex Singularities written by Ana Claudia Nabarro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Singularities (Mathematics) categories.




Real And Complex Singularities


Real And Complex Singularities
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Author : Jean-Paul Brasselet
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-05

Real And Complex Singularities written by Jean-Paul Brasselet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.


This volume collects papers presented at the eighth São Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. Like the workshop, this collection establishes the state of the art and presents new trends, new ideas and new results in all of the branches of singularities. Real and Complex Singularities offers a useful summary of leading ideas in singularity theory, and inspiration for future research.



Real And Complex Singularities


Real And Complex Singularities
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Author : Marcelo José Saia
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Real And Complex Singularities written by Marcelo José Saia and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


This book offers a selection of papers based on talks at the Ninth International Workshop on Real and Complex Singularities, a series of biennial workshops organized by the Singularity Theory group at Sao Carlos, S.P., Brazil. The papers deal with all the different topics in singularity theory and its applications, from pure singularity theory related to commutative algebra and algebraic geometry to those topics associated with various aspects of geometry to homotopytheory.



Real And Complex Singularities


Real And Complex Singularities
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Author : Jean-Paul Brasselet
language : en
Publisher: Birkhäuser
Release Date : 2006-11-22

Real And Complex Singularities written by Jean-Paul Brasselet and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Mathematics categories.


This volume collects papers presented at the eighth São Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. Like the workshop, this collection establishes the state of the art and presents new trends, new ideas and new results in all of the branches of singularities. Real and Complex Singularities offers a useful summary of leading ideas in singularity theory, and inspiration for future research.



Real And Complex Singularities


Real And Complex Singularities
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Author : Ana Claudia Nabarro
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-10-25

Real And Complex Singularities written by Ana Claudia Nabarro and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-25 with Education categories.


This volume is a collection of papers presented at the XIII International Workshop on Real and Complex Singularities, held from July 27–August 8, 2014, in São Carlos, Brazil, in honor of María del Carmen Romero Fuster's 60th birthday. The volume contains the notes from two mini-courses taught during the workshop: on intersection homology by J.-P. Brasselet, and on non-isolated hypersurface singularities and Lê cycles by D. Massey. The remaining contributions are research articles which cover topics from the foundations of singularity theory (including classification theory and invariants) to topology of singular spaces (links of singularities and semi-algebraic sets), as well as applications to topology (cobordism and Lefschetz fibrations), dynamical systems (Morse-Bott functions) and differential geometry (affine geometry, Gauss-maps, caustics, frontals and non-Euclidean geometries). This book is published in cooperation with Real Sociedad Matemática Española (RSME)



Real And Complex Singularities


Real And Complex Singularities
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Author : Victor Goryunov
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Real And Complex Singularities written by Victor Goryunov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


"This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26-30, 2010, in Sao Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal."--P. [4] of cover.