Topology of Singular Fibers of Differentiable Maps
Author: Osamu Saeki
Publisher: Springer Science & Business Media
Published: 2004
Total Pages: 164
ISBN-13: 9783540230212
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Topology of Singular Fibers of Differentiable Maps
Author: Osamu Saeki
Publisher:
Published: 2014-09-01
Total Pages: 164
ISBN-13: 9783662201213
DOWNLOAD EBOOKTopological Methods in Data Analysis and Visualization VI
Author: Ingrid Hotz
Publisher: Springer Nature
Published: 2021-09-28
Total Pages: 372
ISBN-13: 3030835006
DOWNLOAD EBOOKThis book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed.
Topology of Singular Fibers of Differentiable Maps
Author: Osamu Saeki
Publisher: Springer
Published: 2004-08-30
Total Pages: 146
ISBN-13: 3540446486
DOWNLOAD EBOOKThe volume develops a thorough theory of singular fibers of generic differentiable maps. This is the first work that establishes the foundational framework of the global study of singular differentiable maps of negative codimension from the viewpoint of differential topology. The book contains not only a general theory, but also some explicit examples together with a number of very concrete applications. This is a very interesting subject in differential topology, since it shows a beautiful interplay between the usual theory of singularities of differentiable maps and the geometric topology of manifolds.
Real and Complex Singularities
Author: Marcelo José Saia
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 274
ISBN-13: 0821844970
DOWNLOAD EBOOKThis 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.
Topological Methods in Data Analysis and Visualization IV
Author: Hamish Carr
Publisher: Springer
Published: 2017-06-01
Total Pages: 355
ISBN-13: 3319446843
DOWNLOAD EBOOKThis book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the way to mathematical topologies not previously applied to data analysis. Topological methods are broadly recognized as valuable tools for analyzing the ever-increasing flood of data generated by simulation or acquisition. This is particularly the case in scientific visualization, where the data sets have long since surpassed the ability of the human mind to absorb every single byte of data. The biannual TopoInVis workshop has supported researchers in this area for a decade, and continues to serve as a vital forum for the presentation and discussion of novel results in applications in the area, creating a platform to disseminate knowledge about such implementations throughout and beyond the community. The present volume, resulting from the 2015 TopoInVis workshop held in Annweiler, Germany, will appeal to researchers in the fields of scientific visualization and mathematics, domain scientists with an interest in advanced visualization methods, and developers of visualization software systems.
Singularities and Foliations. Geometry, Topology and Applications
Author: Raimundo Nonato Araújo dos Santos
Publisher: Springer
Published: 2018-03-21
Total Pages: 552
ISBN-13: 3319736396
DOWNLOAD EBOOKThis proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.
The Impact of Applications on Mathematics
Author: Masato Wakayama
Publisher: Springer
Published: 2014-07-18
Total Pages: 367
ISBN-13: 4431549072
DOWNLOAD EBOOKThis book is a collection of papers presented at the Forum “The Impact of Applications on Mathematics” in October 2013. It describes an appropriate framework in which to highlight how real-world problems, over the centuries and today, have influenced and are influencing the development of mathematics and thereby, how mathematics is reshaped, in order to advance mathematics and its application. The contents of this book address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.
Real and Complex Singularities
Author: Laurentiu Paunescu
Publisher: World Scientific
Published: 2007
Total Pages: 475
ISBN-13: 9812705511
DOWNLOAD EBOOKThe 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.
Real and Complex Singularities
Author: Victor Goryunov
Publisher: American Mathematical Soc.
Published: 2012
Total Pages: 218
ISBN-13: 0821853597
DOWNLOAD EBOOK"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.
