Topics on Real and Complex Singularities

Proceedings of the 4th JapaneseAustralian Workshop (JARCS4)

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Topics on Real and Complex Singularities by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev ISBN: 9789814596053
Publisher: World Scientific Publishing Company Publication: February 28, 2014
Imprint: WSPC Language: English
Author: Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
ISBN: 9789814596053
Publisher: World Scientific Publishing Company
Publication: February 28, 2014
Imprint: WSPC
Language: English

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.

Contents:

  • On the CR Hamiltonian Flows and CR Yamabe Problem (T Akahori)
  • An Example of the Reduction of a Single Ordinary Differential Equation to a System, and the Restricted Fuchsian Relation (K Ando)
  • Fronts of Weighted Cones (T Fukui and M Hasegawa)
  • Involutive Deformations of the Regular Part of a Normal Surface (A Harris and K Miyajima)
  • Connected Components of Regular Fibers of Differentiable Maps (J T Hiratuka and O Saeki)
  • The Reconstruction and Recognition Problems for Homogeneous Hypersurface Singularities (A V Isaev)
  • Openings of Differentiable Map-Germs and Unfoldings (G Ishikawa)
  • Non Concentration of Curvature near Singular Points of Two Variable Analytic Functions (S Koike, T-C Kuo and L Paunescu)
  • Saito Free Divisors in Four Dimensional Affine Space and Reflection Groups of Rank Four (J Sekiguchi)
  • Holonomic Systems of Differential Equations of Rank Two with Singularities along Saito Free Divisors of Simple Type (J Sekiguchi)
  • Parametric Local Cohomology Classes and Tjurina Stratifications for μ-Constant Deformations of Quasi-Homogeneous Singularities (S Tajima)

Readership: Mathematicians in singularity theory or in adjacent areas; advanced undergraduates and graduate students in mathematics; non-experts interested in singularity theory and its applications.
Key Features:

  • Contains applications of the singularity theory to other mathematical fields
  • New topics in singularity theory, e.g. the relationship between free divisors and holonomic systems, openings of differentiable map-germs, non-concentration of curvature
  • Includes articles by prize-winning researchers like Kimio Miyajima and Osamu Saeki
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Mathematicians in singularity theory or in adjacent areas; advanced undergraduates and graduate students in mathematics; non-experts interested in singularity theory and its applications.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Data Mining with Decision Trees by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book GMDH-Methodology and Implementation in MATLAB by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book X-Ray Scattering from Semiconductors and Other Materials by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Cosmic Paradoxes by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book A First Course in Partial Differential Equations by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book 2014 Annual Competitiveness Ranking and Simulation Study for ASEAN-10 and Development Strategies to Enhance Asia Economic Connectivity by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Understanding Service Consumers by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Introduction to Quantum-State Estimation by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Lim Chong Yah: An Autobiography by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Exploiting Intellectual Property to Promote Innovation and Create Value by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Linear Second Order Elliptic Operators by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Basic Discrete Mathematics by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Mergers & Acquisitions by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Evidence-based Clinical Chinese Medicine by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
Cover of the book Farewell to China's GDP Worship by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu;Adam Harris;Alexander Isaev
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy