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1.

電子ブック

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by John G. Ratcliffe
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Graduate Texts in Mathematics ; 149
オンライン: http://dx.doi.org/10.1007/978-0-387-47322-2
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2.

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by Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4473-3
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3.

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by Maria Moszyńska
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4451-2
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4.

電子ブック

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edited by John C. Baez, J. Peter May
出版情報: New York, NY : Springer-Verlag New York, 2010
シリーズ名: The IMA Volumes in Mathematics and its Applications ; 152
オンライン: http://dx.doi.org/10.1007/978-1-4419-1524-5
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5.

電子ブック

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by Dmitry Treschev, Oleg Zubelevich
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-642-03028-4
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6.

電子ブック

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by Luis Ribes, Pavel Zalesskii
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 40
オンライン: http://dx.doi.org/10.1007/978-3-642-01642-4
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7.

電子ブック

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by Davide L. Ferrario, Renzo A. Piccinini
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7236-1
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8.

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by Gregory L. Naber
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Texts in Applied Mathematics ; 25
オンライン: http://dx.doi.org/10.1007/978-1-4419-7254-5
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9.

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edited by Valerio Pascucci, Xavier Tricoche, Hans Hagen, Julien Tierny
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Mathematics and Visualization ;
オンライン: http://dx.doi.org/10.1007/978-3-642-15014-2
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10.

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edited by Markus Banagl, Denis Vogel
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Contributions in Mathematical and Computational Sciences ; 1
オンライン: http://dx.doi.org/10.1007/978-3-642-15637-3
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11.

電子ブック

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by Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7515-7
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12.

電子ブック

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by Vladimir V. Tkachuk
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Problem Books in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7442-6
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13.

電子ブック

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edited by G. Scorza Dragoni
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: C.I.M.E. Summer Schools ; 6
オンライン: http://dx.doi.org/10.1007/978-3-642-10898-3
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14.

電子ブック

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by Dirk Dalen
出版情報: London : Springer-Verlag London Limited, 2011
シリーズ名: Sources and Studies in the History of Mathematics and Physical Sciences ;
オンライン: http://dx.doi.org/10.1007/978-0-85729-537-8
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15.

電子ブック

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by Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2011
シリーズ名: Developments in Mathematics ; 24
オンライン: http://dx.doi.org/10.1007/978-1-4614-0529-0
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16.

電子ブック

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by George K. Francis
出版情報: New York, NY : Springer New York : Imprint: Springer, 2007
オンライン: http://dx.doi.org/10.1007/978-0-387-68120-7
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目次情報: 続きを見る
Preface
Descriptive Topology
Methods and Media
Pictures in Perspective
The Impossible Tribar
Shadows from Higher Dimension
Sphere Eversions
Group Pictures
The Figure Eight Knot
Postscript
Bibliography
Index
Preface
Descriptive Topology
Methods and Media
17.

電子ブック

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by Donu Arapura
出版情報: Boston, MA : Springer US, 2012
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-1809-2
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18.

電子ブック

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by Jean-Luc Brylinski
出版情報: Boston, MA : Birkhäuser Boston, 2008
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4731-5
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19.

電子ブック

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by Chris A.M. Peters, Joseph H.M. Steenbrink
出版情報: Berlin, Heidelberg : Springer-Verlag, 2008
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 52
オンライン: http://dx.doi.org/10.1007/978-3-540-77017-6
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20.

電子ブック

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by Marco Manetti
出版情報: Milano : Springer-Verlag Italia, Milano, 2008
シリーズ名: UNITEXT, La Matematica per il 3+2 ;
オンライン: http://dx.doi.org/10.1007/978-88-470-0757-4
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21.

電子ブック

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by David Jordan, Stephen Huggett
出版情報: London : Springer-Verlag London, 2009
オンライン: http://dx.doi.org/10.1007/978-1-84800-913-4
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22.

電子ブック

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edited by Gerald Farin, Hans-Christian Hege, David Hoffman, Christopher R. Johnson, Konrad Polthier, Martin Rumf, Hans-Christian Hege, Konrad Polthier, Gerik Scheuermann
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Mathematics and Visualization ;
オンライン: http://dx.doi.org/10.1007/978-3-540-88606-8
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23.

電子ブック

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by Elena Deza, Michel Marie Deza
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
オンライン: http://dx.doi.org/10.1007/978-3-642-00234-2
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24.

電子ブック

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by Michael Kapovich
出版情報: Boston : Birkhäuser Boston, 2009
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4913-5
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25.

電子ブック

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by Ülo Lumiste
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-49913-0
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26.

電子ブック

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by D. R. Sahu, Donal O'Regan, Ravi P. Agarwal
出版情報: New York, NY : Springer-Verlag New York, 2009
シリーズ名: Topological Fixed Point Theory and Its Applications ; 6
オンライン: http://dx.doi.org/10.1007/978-0-387-75818-3
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27.

電子ブック

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by Stephen Lipscomb
出版情報: New York, NY : Springer Science+Business Media, LLC, 2009
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-85494-6
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28.

電子ブック

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edited by Akio Kawauchi, Tomoko Yanagimoto
出版情報: Tokyo : Springer Japan, 2012
オンライン: http://dx.doi.org/10.1007/978-4-431-54138-7
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29.

電子ブック

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by D.A. Klyushin, S.I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, V.V. Semenov
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Springer Optimization and Its Applications ; 55
オンライン: http://dx.doi.org/10.1007/978-1-4614-0619-8
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30.

電子ブック

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by Jorge Picado, Aleš Pultr
出版情報: Basel : Springer Basel AG, 2012
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0154-6
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31.

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by W.T. Ingram, William S. Mahavier
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Developments in Mathematics ; 25
オンライン: http://dx.doi.org/10.1007/978-1-4614-1797-2
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32.

電子ブック

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by Masanori Morishita
出版情報: London : Springer-Verlag London Limited, 2012
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4471-2158-9
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33.

電子ブック

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by Arthur Knoebel
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-4642-4
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34.

電子ブック

EB
edited by Ilia Itenberg, Burglind Jöricke, Mikael Passare
出版情報: Boston : Springer Science+Business Media, LLC, 2012
シリーズ名: Progress in Mathematics ; 296
オンライン: http://dx.doi.org/10.1007/978-0-8176-8277-4
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35.

電子ブック

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by W.T. Ingram
出版情報: New York, NY : Springer New York : Imprint: Springer, 2012
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-4487-9
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目次情報: 続きを見る
1. Basics
2. Connectedness
3. Mapping verses Set-valued Functions
4.  Mapping Theorems
5. Dimension
6. Problems.–Index
1. Basics
2. Connectedness
3. Mapping verses Set-valued Functions
36.

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by Tomaž Pisanski, Brigitte Servatius
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Birkhäuser Advanced Texts Basler Lehrbücher ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8364-1
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目次情報: 続きを見る
Preface
Introduction
Graphs
Groups, Actions, and Symmetry
Maps
Combinatorial Configurations
Geometric Configurations
Index
Bibliography
Preface
Introduction
Graphs
37.

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by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8397-9
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目次情報: 続きを見る
Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
Applications to Analysis on Quasi-Metric Spaces
Non-Locally Convex Functional Analysis
Functional Analysis on Quasi-Pseudonormed Groups
References
Symbol Index
Subject Index
Author Index
Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
38.

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by Dirk Dalen
出版情報: London : Springer London : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4471-4616-2
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目次情報: 続きを見る
Child and Student
Mathematics and Mysticism
The Dissertation.-Cantor-Schoenflies Topology
The New Topology
Making a Career
The War Years
Mathematics after the War
Politics and Mathematics
The Breakthrough
The Fathers of Dimension
Progress, Recognition, and Frictions
From Berlin to Vienna
The Three Battles
The Thirties
War and Occupation
Post-War Events
The Restless Emeritus
Child and Student
Mathematics and Mysticism
The Dissertation.-Cantor-Schoenflies Topology
39.

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by Joanna A. Ellis-Monaghan, Iain Moffatt
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6971-1
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目次情報: 続きを見る
1. Embedded Graphs
2. Generalised Dualities
3. Twisted duality, cycle family graphs, and embedded graph equivalence
4. Interactions with Graph Polynomials
5. Applications to Knot Theory .- References
Index
1. Embedded Graphs
2. Generalised Dualities
3. Twisted duality, cycle family graphs, and embedded graph equivalence
40.

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by Ştefan Cobzaş
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0478-3
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目次情報: 続きを見る
Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
2.2. Hahn-Banach type theorems and the separation of convex sets
2.3. The fundamental principles
2.4. Weak topologies
2.5. Applications to best approximation
2.6. Spaces of semi-Lipschitz functions
Bibliography
Index
Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
41.

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by Michel Marie Deza, Elena Deza
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-3-642-30958-8
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目次情報: 続きを見る
Part I. Mathematics of Distances
1 General Definitions
2 Topological Spaces
3 Generalization of Metric Spaces
4 Metric Transforms
5 Metrics on Normed Structures
Part II. Geometry and Distances
6 Distances in Geometry
7 Riemannian and Hermitian Metrics
8 Distances on Surfaces and Knots
9 Distances on Convex Bodies, Cones and Simplicial Complexes
Part III. Distances in Classical Mathematics
10 Distances in Algebra
11 Distances on Strings and Permutations
12 Distances on Numbers, Polynominals and Matrices
13 Distances in Functional Analysis
14 Distances in Probability Theory
Part IV. Distances in Applied Mathematics
15 Distances in Graph theory
16 Distances in Coding Theory
17 Distances and Similarities in Data Analysis
18 Distances in Systems and Mathematical Engineering
Part V. Computer-Related Distances
19 Distances on Real and Digital Planes
20 Voronoi Diagram Distances
21 Image and Audio Distances
22 Distances in Networks
Part VI. Distances in Natural Sciences
23 Distances in Biology
24 Distances in Physics and Chemistry
25 Distances in Earth Science and Astronomy
26 Distances in Cosmology and Theory of Relativity
Part VII. Real-World Distances
27 Length Measures and Scales
28 Distances in Applied Social Sciences
29 Other Distances
Part I. Mathematics of Distances
1 General Definitions
2 Topological Spaces
42.

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by Jean Gallier, Dianna Xu
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Geometry and Computing ; 9
オンライン: http://dx.doi.org/10.1007/978-3-642-34364-3
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目次情報: 続きを見る
The Classification Theorem: Informal Presentation
Surfaces
Simplices, Complexes, and Triangulations
The Fundamental Group, Orientability
Homology Groups
The Classification Theorem for Compact Surfaces
Viewing the Real Projective Plane in R3
Proof of Proposition 5.1
Topological Preliminaries
History of the Classification Theorem
Every Surface Can be Triangulated
Notes
The Classification Theorem: Informal Presentation
Surfaces
Simplices, Complexes, and Triangulations
43.

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by Askold Khovanskii
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-3-642-38841-5
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目次情報: 続きを見る
Chapter 1 Galois Theory: 1.1 Action of a Solvable Group and Representability by Radicals
1.2 Fixed Points under an Action of a Finite Group and Its Subgroups
1.3 Field Automorphisms and Relations between Elements in a Field
1.4 Action of a k-Solvable Group and Representability by k-Radicals
1.5 Galois Equations
1.6 Automorphisms Connected with a Galois Equation
1.7 The Fundamental Theorem of Galois Theory
1.8 A Criterion for Solvability of Equations by Radicals
1.9 A Criterion for Solvability of Equations by k-Radicals
1.10 Unsolvability of Complicated Equations by Solving Simpler Equations
1.11 Finite Fields
Chapter 2 Coverings: 2.1 Coverings over Topological Spaces
2.2 Completion of Finite Coverings over Punctured Riemann Surfaces
Chapter 3 Ramified Coverings and Galois Theory:  3.1 Finite Ramified Coverings and Algebraic Extensions of Fields of Meromorphic Functions
3.2 Geometry of Galois Theory for Extensions of a Field of Meromorphic Functions
References
Index
Chapter 1 Galois Theory: 1.1 Action of a Solvable Group and Representability by Radicals
1.2 Fixed Points under an Action of a Finite Group and Its Subgroups
1.3 Field Automorphisms and Relations between Elements in a Field
44.

電子ブック

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edited by Imre Bárány, Károly J. Böröczky, Gábor Fejes Tóth, János Pach
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Bolyai Society Mathematical Studies ; 24
オンライン: http://dx.doi.org/10.1007/978-3-642-41498-5
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Contents
Preface
Akiyama, J., Kobayashi, M., Nakagawa, H., Nakamura, G. and Sato, I.: Atoms for Parallelohedra
Bezdek, K.: Tarski's Plank Problem Revisited
Bezdek, A. and Kupperbeck, W.: Dense Packing of Space with Various Convex Solids
Brass, P.: Geometric Problems on Coverage in Sensor Networks
Gruber, P.M.: Applications of an Idea of Voronoi, a Report
Grünbaum, B.: Uniform Polyhedrals
Holmsen, A.F.: Geometric Transversal Theory: T-(3)-families in the Plane
Montejano, L.: Transversals, Topology and Colorful Geometric Results
Pach, J. Pálvölgyi, D. and Tóth, G.: Survey on Decomposition of Multiple Coverings
Schaefer, M.: Hanani-Tutte and Related Results
Schneider, R.: Extremal Properties of Random Mosaics
Smorodinsky, S.: Conflict-Free Coloring and its Applications
Contents
Preface
Akiyama, J., Kobayashi, M., Nakagawa, H., Nakamura, G. and Sato, I.: Atoms for Parallelohedra
45.

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edited by K.P. Hart, J. van Mill, P. Simon
出版情報: Paris : Atlantis Press : Imprint: Atlantis Press, 2014
オンライン: http://dx.doi.org/10.2991/978-94-6239-024-9
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目次情報: 続きを見る
Topological Homogeneity
Some Recent Progress Concerning Topology of Fractals
A biased view of topology as a tool in functional analysis
Large scale versus small scale
Descriptive aspects of Rosenthal compacta
Minimality conditions in topological groups
Set-Theoretic update on Topology
Topics in Dimension Theory
Representations of dynamical systems on Banach spaces
Generalized metrizable spaces
Permanence in Coarse Geometry
Selections and Hyperspaces
Continuum Theory
Almost disjoint families and topology
Some Topics in Geometric Topology II
Topological aspects of dynamics of pairs, tuples and sets
Continuous selections of multivalued mappings
The combinatorics of open covers
Covering properties
Paratopological and semitopological groups vs topological groups
Topological Homogeneity
Some Recent Progress Concerning Topology of Fractals
A biased view of topology as a tool in functional analysis
46.

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edited by Maria Gorelik, Paolo Papi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer INdAM Series ; 7
オンライン: http://dx.doi.org/10.1007/978-3-319-02952-8
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目次情報: 続きを見る
1 A. Alldridge, Z. Shaikh: Superbosonisation, Riesz superdistributions, and highest weight modules
2 K. Coulembier: Homological algebra for osp(1|2n)
3 A. D’Andrea: Finiteness and orbifold vertex operator algebras
4 A. De Sole: On classical finite and affine W -algebras
5 M. Gorelik, D. Grantcharov: Q-type Lie superalgebras
6 C. Hoyt: Weight modules for the Lie superalgebra D(2,1,a)
7 R. Fioresi, S. Kwok: On SUSY curves
8 V. G. Kac, P. Moseneder Frajria, P. Papi: Dirac operators and the Very Strange Formula for Lie superalgebras
9 V. Mazorchuk: Parabolic category O for classical Lie superalgebras
10 E. Poletaeva: On Kostant’s Theorem for Lie superalgebras
11 V. Serganova: Classical Lie superalgebras at infinity
12 D. Valeri: Classical W-algebras within the theory of Poisson vertex algebras
13 J. van Ekeren: Vertex Operator Superalgebras and Odd Trace Functions
14 R. Zhang: Serre presentations of Lie superalgebras
1 A. Alldridge, Z. Shaikh: Superbosonisation, Riesz superdistributions, and highest weight modules
2 K. Coulembier: Homological algebra for osp(1|2n)
3 A. D’Andrea: Finiteness and orbifold vertex operator algebras
47.

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edited by Juan Carlos Ferrando, Manuel López-Pellicer
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 80
オンライン: http://dx.doi.org/10.1007/978-3-319-05224-3
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目次情報: 続きを見る
1 Some aspects in the Mathematical work of Jerzy Kakol
2 Weak barrelledness vs. P-spaces
3 On the topology of the sets of the real projections of the zeros of exponential polynomials
4 The density character of the space Cp(X)
5 Compactness and distances to spaces of continuous functions and Fréchet spaces
6 Two classes of metrizable spaces lc-invariant
7 Characteristics of the Mackey topology for abelian topological groups
8 Bowen’s Entropy for Endomorphisms of Totally Bounded Abelian
9 On preserved and unpreserved extreme points Groups
10 Cantor sets, Bernoulli shifts and linear dynamics
11 Some non-linear geometrical properties of Banach spaces
1 Some aspects in the Mathematical work of Jerzy Kakol
2 Weak barrelledness vs. P-spaces
3 On the topology of the sets of the real projections of the zeros of exponential polynomials
48.

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by Stefan Waldmann
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-3-319-09680-3
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目次情報: 続きを見る
Introduction
Topological Spaces and Continuity
Construction of Topological Spaces
Convergence in Topological Spaces
Compactness
Continuous Functions
Baire’s Theorem
Introduction
Topological Spaces and Continuity
Construction of Topological Spaces
49.

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by Marco Manetti
出版情報: Milano : Springer Milan : Imprint: Springer, 2014
シリーズ名: UNITEXT ; 78
オンライン: http://dx.doi.org/10.1007/978-88-470-5662-6
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目次情報: 続きを見る
1 Introduzione geometrica alla topologia
2 Insiemi
3 Strutture topologiche
4 Connessione e compattezza
5 Quozienti topologici
6 Successioni
7 Variet, prodotti infiniti e paracompattezza
8 Complementi di topologia generale
9 Intermezzo
10 Omotopia
11 Il gruppo fondamentale
12 Rivestimenti
13 Monodromia
14 Il teorema di Van Kampen
15 Complementi di topologia algebrica
16 Suggerimenti e soluzioni di alcuni esercizi
1 Introduzione geometrica alla topologia
2 Insiemi
3 Strutture topologiche
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by Askold Khovanskii
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-642-38871-2
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Preface
1 Construction of Liouvillian Classes of Functions and Liouville’s Theory
2 Solvability of Algebraic Equations by Radicals and Galois Theory
3 Solvability and Picard–Vessiot Theory
4 Coverings and Galois Theory
5 One-Dimensional Topological Galois Theory
6 Solvability of Fuchsian Equations
7 Multidimensional Topological Galois Theory
Appendix A: Straightedge and Compass Constructions
Appendix B: Chebyshev Polynomials and Their Inverses
Appendix C: Signatures of Branched Coverings and Solvability in Quadratures
Appendix D: On an Algebraic Version of Hilbert’s 13th Problem
References
Preface
1 Construction of Liouvillian Classes of Functions and Liouville’s Theory
2 Solvability of Algebraic Equations by Radicals and Galois Theory
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by Mark Joshi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
オンライン: http://dx.doi.org/10.1007/978-3-319-16250-8
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Induction and complete induction
Double Counting
The pigeonhole principle
Divisions
Contrapositive and contradiction
Intersection-enclosure and Generation
Difference of invariants
Linear dependence, fields and transcendence
Formal equivalence
Equivalence extension
Proof by classification
Specific-generality
Diagonal tricks and cardinality
Connectedness and the Jordan curve theorem
The Euler characteristic and the classification of regular polyhedra
Discharging
The matching problem
Games
Analytical patterns
Counterexamples
Induction and complete induction
Double Counting
The pigeonhole principle
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edited by Bruno Benedetti, Emanuele Delucchi, Luca Moci
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer INdAM Series ; 12
オンライン: http://dx.doi.org/10.1007/978-3-319-20155-9
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1 Introduction
2 Part I
3 Extremal graph theory and face numbers of flag triangulations of manifolds
4 Combinatorial stratifications and minimality of 2-arrangements
5 Rota’s conjecture, the missing axiom, and prime cycles in toric varieties
6 Random triangular groups
7 Generalized involution models of projective reflection groups
8 Universal Gröbner bases for maximal minors of matrices of linear forms
9 Milnor fibrations of arrangements
10 Decompositions of Betti diagrams of powers of monomial ideals
11 Matroids over a ring
12 A Minimal Irreducible Triangulation of S3
 13 Tropical Oriented Matroids
14 A combinatorial classification of Buchsbaum simplicial posets
15 Differences Between Nonnegative Polynomials and Sums of Squares
16 Interpolation, box splines, and lattice points in polytopes
17 Root polytopes of crystallographic root systems
18 Product formulas for volumes of flow polytopes
19 On the Topology of the Cambrian Semilattices
20 cd-index for CW-posets
21 Bipartite Rigidity
22 Balanced manifolds and pseudomanifolds
23 Some combinatorial constructions and relations with Artin groups
24 Deterministic Abelian Sandpile and square-triangle tilings
25 A special feature of quadratic monomial ideals
26 Resonant bands, local systems and Milnor fibers of real line arrangements
27 Full research papers
28 On Highly Regular Embeddings
29 Positive sum systems
30 The Sn+1 action on spherical models and supermaximal models of tipe An-1
31 h-vectors of matroid complexes
1 Introduction
2 Part I
3 Extremal graph theory and face numbers of flag triangulations of manifolds
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edited by Paul Biran, Octav Cornea, François Lalonde
出版情報: Dordrecht : Springer, 2006
シリーズ名: NATO Science Series II: Mathematics, Physics and Chemistry ; 217
オンライン: http://dx.doi.org/10.1007/1-4020-4266-3
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by Lech Górniewicz
出版情報: Dordrecht : Springer, 2006
シリーズ名: Topological Fixed Point Theory and Its Applications ; 4
オンライン: http://dx.doi.org/10.1007/1-4020-4666-9
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by Bruce Blackadar
出版情報: Berlin, Heidelberg : Springer, 2006
シリーズ名: Encyclopaedia of Mathematical Sciences ; 122
オンライン: http://dx.doi.org/10.1007/3-540-28517-2
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by Mícheál Ó Searcóid
出版情報: London : Springer-Verlag London Limited, 2007
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-1-84628-627-8
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edited by Imre Csiszár, Gyula O. H. Katona, Gábor Tardos, Gábor Wiener
出版情報: Berlin, Heidelberg : János Bolyai Mathematical Society and Springer-Verlag, 2007
シリーズ名: Bolyai Society Mathematical Studies ; 16
オンライン: http://dx.doi.org/10.1007/978-3-540-32777-6
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by N. Bourbaki
出版情報: Berlin, Heidelberg : Springer-Verlag, 2007
オンライン: http://dx.doi.org/10.1007/978-3-540-33982-3
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by N. Bourbaki
出版情報: Berlin, Heidelberg : Springer-Verlag, 2007
オンライン: http://dx.doi.org/10.1007/978-3-540-34486-5
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by N. Bourbaki
出版情報: Berlin, Heidelberg : Springer-Verlag, 2007
オンライン: http://dx.doi.org/10.1007/978-3-540-34498-8
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edited by Éric Charpentier, Annick Lesne, Nikolaï K. Nikolski
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
オンライン: http://dx.doi.org/10.1007/978-3-540-36351-4
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by M. Banagl
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/3-540-38587-8
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63.

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edited by Sergei Matveev
出版情報: Berlin Heidelberg : Springer-Verlag GmbH., 2007
シリーズ名: Algorithms and Computation in Mathematics ; 9
オンライン: http://dx.doi.org/10.1007/978-3-540-45899-9
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64.

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edited by Helwig Hauser, Hans Hagen, Holger Theisel
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Mathematics and Visualization ;
オンライン: http://dx.doi.org/10.1007/978-3-540-70823-0
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by Mariano Giaquinta, Giuseppe Modica
出版情報: Boston, MA : Birkhäuser Boston, 2007
オンライン: http://dx.doi.org/10.1007/978-0-8176-4514-4
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66.

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by Wenming Zou
出版情報: Boston, MA : Springer-Verlag US, 2008
オンライン: http://dx.doi.org/10.1007/978-0-387-76657-7
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by Ross Geoghegan
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Graduate Texts in Mathematics ; 243
オンライン: http://dx.doi.org/10.1007/978-0-387-74614-2
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68.

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edited by Gerald Edgar
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-74749-1
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by Michal Fečkan
出版情報: Dordrecht : Springer Science + Business Media B.V., 2008
シリーズ名: Topological Fixed Point Theory and Its Applications ; 5
オンライン: http://dx.doi.org/10.1007/978-1-4020-8724-0
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by Horst Herrlich
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin/Heidelberg, 2006
シリーズ名: Lecture Notes in Mathematics ; 1876
オンライン: http://dx.doi.org/10.1007/11601562
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by Vasile Berinde
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1912
オンライン: http://dx.doi.org/10.1007/978-3-540-72234-2
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by De Witt Sumners, Renzo L. Ricca, H. Keith Moffatt, Boris Khesin, Louis H. Kauffman, Mitchell A. Berger ; edited by Renzo L. Ricca
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1973
オンライン: http://dx.doi.org/10.1007/978-3-642-00837-5
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by Markus Banagl
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1997
オンライン: http://dx.doi.org/10.1007/978-3-642-12589-8
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by Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 2007
オンライン: http://dx.doi.org/10.1007/978-3-642-14828-6
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by Kishore Marathe
出版情報: London : Springer-Verlag London Limited, 2010
オンライン: http://dx.doi.org/10.1007/978-1-84882-939-8
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by Kunio Murasugi
出版情報: Boston, MA : Birkhäuser Boston, 2008
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4719-3
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edited by Ken'ichi Ohshika, Athanase Papadopoulos
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-55928-1
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目次情報: 続きを見る
Preface. (Ken'ichi Ohshika and Athanase Papadopoulos)
Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos)
Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos)
Chapter 2: Thurston's influence on Japanese topologists up to the 1980s. (Ken'ichi Ohshika)
Chapter 3: A survey of the impact of Thurston's work on Knot Theory. (Makoto Sakuma)
Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima)
Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurston in the story of one theorem. (Philip Bowers)
Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei Baba)
Chapter 7: A short proof of an assertion of Thurston concerning convex hulls. (Graham Smith)
Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire)
Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichi Ohshika and Teruhiko Soma)
Chapter 10: Laminar groups and 3-manifolds. (Hyungryul Baik and KyeongRo Kim)
Chapter 11: Length functions on currents and applications to dynamics and counting. (Viveka Erlandsson and Caglar Uyanik)
Chapter 12: Big mapping class groups: an overview. (Javier Aramayona and Nicholas Vlamis)
Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry and Complex analysis. (Hideki Miyachi)
Chapter 14: Signatures of monic polynomials. (Norbert A'Campo)
Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco Bonsante and Andrea Seppi)
Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot and Francois Fillastre)
Preface. (Ken'ichi Ohshika and Athanase Papadopoulos)
Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos)
Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos)
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by Mahendra Nadkarni
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Texts and Readings in Mathematics ; 15
オンライン: https://doi.org/10.1007/978-981-15-6225-9
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The Hahn-Hellinger Theorem
The Spectral Theorem for Unitary Operators
Symmetry and Denseness of the Spectrum
Multiplicity and Rank
The Skew Product
A Theorem of Helson and Parry
Probability Measures on the Circle Group
Baire Category Theorems of Ergodic Theory
Translations of Measures on the Circle
B. Host's Theorem
L∞ Eigenvalues of Non-Singular Automorphisms
Generalities on Systems of Imprimitivity
Dual Systems of Imprimitivity
Saturated Subgroups of the Circle Group
Riesz Products As Spectral Measures
Additional Topics
Calculus of Generalized Riesz Products
The Hahn-Hellinger Theorem
The Spectral Theorem for Unitary Operators
Symmetry and Denseness of the Spectrum
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edited by José Luis Cisneros Molina, Dũng Tráng Lê, José Seade
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-53061-7
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Foreword
Preface
1 The Combinatorics of Plane Curve Singularities
2 The Topology of Surface Singularities
3 Resolution of Singularities: an Introduction
4 Stratification Theory
5 Morse Theory, Stratification and Sheaves
6 The Topology of the Milnor Fibration
7 Deformation and Smoothing of Singularities
8 Distinguished Bases and Monodromy of Complex Hypersurface Singularities
9 The Lefschetz Theorem for Hyperplane Sections
10 Finite Dimensional Lie Algebras in Singularities. -Index
Foreword
Preface
1 The Combinatorics of Plane Curve Singularities
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by Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Differential-Algebraic Equations Forum ;
オンライン: https://doi.org/10.1007/978-3-030-43936-1
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1. A Survey of the Book's Content
2. The Language and Fundamental Properties of Behaviors
3. Observability, Autonomy and Controllability of Behaviors
4. Applications of the Chinese Remainder Theorem
5. Input/ Output Behaviors
6. Interconnections of Input/ Output Behaviors
7. The Transfer Matrix as Operator or Input/ Output Map
8. Stability via Quotient Modules
9. Compensators
10. Observers
11. Canonical State Space Realizations
12. Generalized Fractional Calculus
1. A Survey of the Book's Content
2. The Language and Fundamental Properties of Behaviors
3. Observability, Autonomy and Controllability of Behaviors
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edited by Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, Miranda Teboh-Ewungkem
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Association for Women in Mathematics Series ; 21
オンライン: https://doi.org/10.1007/978-3-030-42687-3
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Preface
I. From the Plenary Talks
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (S.C. Brenner)
II. Algebraic Combinatorics and Graph Theory
Some q-exponential formulas involving the double lowering operator ψ for a tridiagonal pair (S. Bockting-Conrad)
Distance graphs generated by five primes (D.D-F. Liu, G. Robinson, A. Chavez)
Combinatorial characterization of queer supercrystals (M. Gillespie, G. Hawkes, W. Poh, A. Schilling)
(Tenner)
III. Algebraic Biology
From chaos to permanence using control theory (S. Koshy-Chenthittayil, E. Dimitrova)
Classification on large networks (A. Haupt, T. Schultz, M. Kharami, N. Tran)
Gröbner bases of convex neural code ideals (K. Phillipson, E.S. Dimitrova, M. Honecker, J. Hu, Q. Liang)
Gröbner bases of convex neural code ideals (B. Stigler, A. Zhang)
IV. Commutative Algebra
Depth of powers of squarefree monomial ideals (L. Fouli, H.T. Hà, S. Morey)
A note on the uniqueness of zero-divisor graphs with loops (A. Li, R. Miller, R.P. Tucci)
Some combinatorial cases of the three matrix analog of Gerstenhaber’s theorem (J. Rajchgot, M. Satriano, W. Shen)
Structure of semigroup rings (H. Srinivasan)
Using Monte Carlo particle methods to estimate and quantify uncertainty in periodic parameters (A. Arnold)
A note on singularity formation for nonlocal transport equation (V. Hoang, M. Radosz)
Prescribing initial values for the sticky particle system (R. Hynd)
Towards directed collapsibility (R. Belton, R. Brooks, S. Ebli, L. Fajstrup, B.T. Fasy, C. Ray, N. Sanderson, E. Vidaurre)
Contact Open Books and Sympectic Lefschetz Fibrations (B. Acu)
A robust preconditioner for high-contrast problems (Y. Gorb, D. Kurzanova, Y. Kuznetsov)
On the dimension reduction in prestrained elasticity (S. Jimezes Bolanos)
Machine learning in crowd flow exit data (F.P. Medina)
The matter of shape (M. Ozkar)
Being research-based and research-minded in helping K-12 mathematics education (A. Ekmekci, A. Papakonstantinou)
The Rice University school mathematics project (A. Papakonstantinou, A. Ekmekci)
Preface
I. From the Plenary Talks
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (S.C. Brenner)
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by Robert Penner
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: History of Mathematics Subseries ; 2262
オンライン: https://doi.org/10.1007/978-3-030-43996-5
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Foreword
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14
Lecture 15
Lecture 16
Lecture 17
Lecture 18
Lecture 19
Lecture 20
Lecture 21
Lecture 22
Lecture 23
Lecture 24
Lecture 25
Lecture 26
Lecture 27
Lecture 28
Lecture 29
Lecture 30
Lecture 31
Lecture 32
Lecture 33
Lecture 34
Lecture 35
Lecture 36
Lecture 37
Lecture 38
Afterword by Mikhail Kapranov
References
Index
Foreword
Lecture 1
Lecture 2
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by Jun Kigami
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 2265
オンライン: https://doi.org/10.1007/978-3-030-54154-5
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by Sergio Macías
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Developments in Mathematics ; 67
オンライン: https://doi.org/10.1007/978-3-030-65081-0
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Preliminaries
The Set Function T
Decomposition Theorems
T-Closed Sets
Continuity of T
Images of T
Applications
Questions
References
Index
Preliminaries
The Set Function T
Decomposition Theorems
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edited by Yeol Je Cho, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-981-33-6647-3
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The relevance of a metric condition on a pair of operators in common fixed point theory
Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces
Split variational inclusion problem and fixed point problem for asymptotically nonexpansive semigroup with application to optimization problem
Convergence theorems and convergence rates for the general inertial Krasnosel’skiˇ–Mann algorithm
Digital space type fixed point theory and its applications
Existence and Approximations for Order-Preserving Nonexpansive Semigroups over CAT(κ) Spaces
Solution of system of integral equations in product spaces via concept of measures of noncompactness
Fixed points that are zeros of a given function
A survey on best proximity point theory in reflexive and Busemann convex spaces
The relevance of a metric condition on a pair of operators in common fixed point theory
Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces
Split variational inclusion problem and fixed point problem for asymptotically nonexpansive semigroup with application to optimization problem
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edited by Ingrid Hotz, Talha Bin Masood, Filip Sadlo, Julien Tierny
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Mathematics and Visualization ;
オンライン: https://doi.org/10.1007/978-3-030-83500-2
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Scalar Field Topology–Algorithms and Applications
W-Structures in Contour Trees
Treemap Based Exploration of Merge Trees
Notes on Percolation Analysis of Sampled Scalar Fields
Distributed Task-Parallel Topology-Controlled Volume Rendering
Topology-Based Tracking of Multi-Center Cyclones
Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes
Topological Methods in Complex Fields–Flow Fields, Tensor Fields, and Multi-fields
Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction
Coreline Criteria for Inertial Particle Motion
Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection
Visually Evaluating Topological Equivalence of Bounded Bivariate Fields
Topological Feature Search in Time-Varying Multifield Data
Tensor Fields for Data Extraction from Chart Images: Bar Charts, Histograms, and Scatter Plots
Topology for Geometric Data
A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space
Topologically Robust B-Spline Reconstruction of Fibers from 3D Images
Introduction to Vector Field Topology
An Overview of the Topology ToolKit
Implementing Persistence-Based Clustering of Point Clouds in the Topology ToolKit
TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives
Scalar Field Topology–Algorithms and Applications
W-Structures in Contour Trees
Treemap Based Exploration of Merge Trees
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edited by José Luis Cisneros-Molina, Dũng Tráng Lê, José Seade
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-78024-1
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目次情報: 続きを見る
Preface
Contents
Chapter 1 The Analytic Classificatio of Irreducible Plane Curve Singularities
Chapter 2 Plane algebraic curves with prescribed singularities
Chapter 3 Limit of tangents on complex surfaces
Chapter 4 Algebro-geometric equisingularity of Zariski
Chapter 5 Intersection homology
Chapter 6 Milnor’s fibratio theorem for real and complex singularities
Chapter 7 Lê Cycles and Numbers of hypersurface singularities
Chapter 8 Introduction to mixed hypersurface singularity. - Chapter 9 From Singularities to Polyhedral Products
Chapter 10 Complements to ample divisors and Singularities
Index
Preface
Contents
Chapter 1 The Analytic Classificatio of Irreducible Plane Curve Singularities
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by Sang-hyun Kim, Thomas Koberda
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-89006-3
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目次情報: 続きを見る
1. Introduction
2. Denjoy’s Theorem and Exceptional Diffeomorphisms of the Circle
3. Full Diffeomorphism Groups Determine the Diffeomorphism Class of a Manifold
4. The C1 and C2 Theory of Diffeomorphism Groups
5. Chain Groups
6. The Slow Progress Lemma
7. Algebraic Obstructions for General Regularities
8. Applications
A. Concave Moduli of Continuity
B. Orderability and Hölder's Theorem
C. The Thurston Stability Theorem
Index
1. Introduction
2. Denjoy’s Theorem and Exceptional Diffeomorphisms of the Circle
3. Full Diffeomorphism Groups Determine the Diffeomorphism Class of a Manifold
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edited by Maria Manuel Clementino, Alberto Facchini, Marino Gran
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Coimbra Mathematical Texts ; 1
オンライン: https://doi.org/10.1007/978-3-030-84319-9
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目次情報: 続きを見る
Rings, epimorphisms, Gabriel topologies and contramodules
An invitation to topological semi-abelian algebras
Commutative monoids, noncommutative rings and modules
An introduction to regular categories
Categorical commutator theory
Notes on point-free topology
Non-associative algebra
Rings, epimorphisms, Gabriel topologies and contramodules
An invitation to topological semi-abelian algebras
Commutative monoids, noncommutative rings and modules
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by Jorge Picado, Aleš Pultr
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
オンライン: https://doi.org/10.1007/978-3-030-53479-0
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Introduction
Separation in spaces
Subfitness, and basics of fitness
Summarizing low separation
Regularity and fitness
Complete regularity
Normality
Scatteredness. Joins of closed sublocales
Subfit, fit, open and complete
Appendix
Introduction
Separation in spaces
Subfitness, and basics of fitness
91.

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EB
by Vyacheslav V. Chistyakov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: SpringerBriefs in Optimization ;
オンライン: https://doi.org/10.1007/978-3-030-87399-8
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Dedication
Preface
Acronyms
1.Introduction
2.The approximate variation and its properties
3. Examples of approximate variations
4. Pointwise selection principles
References
Index
Dedication
Preface
Acronyms
92.

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EB
by Simon G. Chiossi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-87174-1
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Part I: Basic Objects and Formalisation - Round-up of Elementary Logic
Naive Set Theory
Functions
More Set Theory and Logic
Boolean Algebras. Part 2: Numbers and Structures - Intuitive Arithmetics
Real Numbers
Totally Ordered Spaces
Part 3: Elementary Real Functions - Real Polynomials
Real Functions of One Real Variables
Algebraic Functions
Elementary Transcendental Functions
Complex Numbers
Enumerative Combinatorics
Part 4: Geometry through Algebra - Vector Spaces
Orthogonal Operators
Actions & Representations
Elementary Plane Geometry
Metric Spaces
Part 5: Appendices - Etymologies
Index of names
Main figures
Glossary
References
Part I: Basic Objects and Formalisation - Round-up of Elementary Logic
Naive Set Theory
Functions
93.

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EB
edited by Robert L. Devaney, Kit C. Chan, P.B. Vinod Kumar
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 350
オンライン: https://doi.org/10.1007/978-981-16-0174-3
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H. Bruin, An Overview of Unimodal Inverse Limit Spaces
B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Rapellers Part I: A General Introduction
B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Repellers: Part II: Dynamically Defined Function Graphs
K. Lesniak, Iterated Function Systems – A Topological Approach Attractors
H. Kato, Zero Dimensional Covers of Dynamical Systems
H. Kato, Chaotic Continua in Chaotic Dynamical Systems
R. L. Devaney, S. M. Marotta, Mandelpinski Necklaces in the Parameter Planes of Rational Maps
Kit C Chan, Some Examples of Hypercyclic Operators and Universal Sequences of Operators
Kit C Chan, Some Basic Properties of Hypercyclic Operators
Kit C Chan, The Testing Ground of Weighted Shift Operators for Hypercyclicity
D. Drozdov, M. Samuel, A. Tetenov, On -deformations of Polygonal Dendrites
A. Tetenov, K. Kamalutdinov, V. Aseev, General Position Theorems and its Applications
A. Raj P, V. Kumar P B, The nth iterate of a map with dense orbit
Aswathy R K, S. Mathew, Finite Products of Irregular Iterated Function Systems and Their Separation Properties
A. Akbar, Mubeena T, Periodic Points of N-dimensional Toral Automorphisms
S. Jose, V. Kumar P B, Julia Sets in Topological Spaces
K U Sreeja, V. Kumar P B, Ramkumar P B, Julia, Sets of Some Graphs Using Independence Polynomials
P. Frosini, An Introduction to the Notion of Natural Pseudo Distance in Topological Data Analysis
A. Cerri, P. Frosini, A Brief Introduction to Multidimensional Persistent Betti Numbers
N. Quercioli, Some New Methods to Build Group Equivariant Non Expansive Operators in TDA
Y. Dabaghian, Topological Stability of the Hippocampal Spatial Map and Synaptic Transience
A. Jacob, Ramkumar P B, Intuitionistic Fuzzy Graph Morphological Topology
A. G. Pillai, Ramkumar P B, Some Properties of the Bitopological Space Associated with the 3-Uniform Semigraph of Cycle graph
D. Chandran R, Ramkumar P B, Hypergraph Topology
H. Bruin, An Overview of Unimodal Inverse Limit Spaces
B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Rapellers Part I: A General Introduction
B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Repellers: Part II: Dynamically Defined Function Graphs
94.

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EB
by George Dinca, Jean Mawhin
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 95
オンライン: https://doi.org/10.1007/978-3-030-63230-4
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The Kronecker Index and the Brouwer Degree
Continuation, Existence, and Bifurcation
Infinite-Dimensional Problems
Difference Equations
Periodic Solutions of Differential Systems
Two-Dimensional Problems
The Degree of Some Classes of Mappings
History of Brouwer Fixed Point Theorem
The Kronecker Index and the Brouwer Degree
Continuation, Existence, and Bifurcation
Infinite-Dimensional Problems
95.

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EB
edited by Maria Alberich-Carramiñana, Guillem Blanco, Immaculada Gálvez Carrillo, Marina Garrote-López, Eva Miranda
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Research Perspectives CRM Barcelona ; 15
オンライン: https://doi.org/10.1007/978-3-030-84800-2
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Q-Hilbert Functions of Multiplier and Test Ideals
Up-to-homotopy Algebras with Strict Units
Multisymplectic Lagrangian Models in Gravitation
Computing the Distance to the Stochastic Part of Phylogenetic Varieties
Generating Embeddable Matrices Whose Principal Logarithm is not a Markov Generator
Q-Hilbert Functions of Multiplier and Test Ideals
Up-to-homotopy Algebras with Strict Units
Multisymplectic Lagrangian Models in Gravitation