1.
ＥＢ
edited by Ervin Győri, Gyula O. H. Katona, László Lovász, Tamás Fleiner
2.
ＥＢ
by Bart Bruyn
3.
ＥＢ
by Péter Komjáth, Vilmos Totik
4.
ＥＢ
by Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov
5.
ＥＢ
by George Pólya, Robert E. Tarjan, Donald R. Woods
6.
ＥＢ
edited by Michael Jünger, Thomas M. Liebling, Denis Naddef, George L. Nemhauser, William R. Pulleyblank, Gerhard Reinelt, Giovanni Rinaldi, Laurence A. Wolsey
7.
ＥＢ
by Glenn Hurlbert
8.
ＥＢ
by Jesús A. Loera, Jörg Rambau, Francisco Santos
9.
ＥＢ
edited by Matthias Dehmer
10.
ＥＢ
by Christian Reidys
11.
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edited by Alexander Soifer
12.
ＥＢ
by Kenji Iohara, Yoshiyuki Koga
13.
ＥＢ
by Ethan D. Bloch
14.
ＥＢ
by Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 268
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http://dx.doi.org/10.1007/978-3-540-69392-5
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15.
ＥＢ
by Omar Hijab
16.
ＥＢ
by Gregory L. Naber
17.
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by Giovanni Peccati, Murad S. Taqqu
18.
ＥＢ
by Bernhard Korte, Jens Vygen
19.
ＥＢ
by Alan Camina, Barry Lewis
20.
ＥＢ
edited by Gunnar Fløystad, Trygve Johnsen, Andreas Leopold Knutsen
21.
ＥＢ
by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
22.
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edited by Massimiliano Sala, Shojiro Sakata, Teo Mora, Carlo Traverso, Ludovic Perret
23.
ＥＢ
by W.D. Wallis
24.
ＥＢ
by Larry J. Gerstein
25.
ＥＢ
by Bernhard Korte, Jens Vygen
26.
ＥＢ
by David Eppstein, Jean-Claude Falmagne, Sergei Ovchinnikov
27.
ＥＢ
by Dmitry Kozlov
28.
ＥＢ
by Dieter Jungnickel
29.
ＥＢ
edited by Gábor Fejes Tóth, Dezső Miklós, Ervin Győri, Gyula O. H. Katona, László Lovász, Gábor Sági
30.
ＥＢ
by Rudolf Ahlswede, Vladimir Blinovsky
31.
ＥＢ
by Rosa M. Miró-Roig
32.
ＥＢ
by Alexei Myasnikov, Alexander Ushakov, Vladimir Shpilrain ; edited by Manuel Castellet
33.
ＥＢ
by Ernesto Salinelli, Franco Tomarelli
34.
ＥＢ
by N.L. Biggs
35.
ＥＢ
by Jørgen Bang-Jensen, Gregory Z. Gutin
36.
ＥＢ
by Alexander Soifer
37.
ＥＢ
by Qinglin Roger Yu, Guizhen Liu
38.
ＥＢ
by Dorin Andrica, Titu Andreescu
39.
ＥＢ
by Titu Andreescu, Răzvan Gelca
40.
ＥＢ
by Michael Huber
41.
ＥＢ
by Olexandr Ganyushkin, Volodymyr Mazorchuk ; edited by Alice Fialowski, Eric Friedlander, John Greenlees, Gerhard Hiss, Ieke Moerdijk, Idun Reiten, Christoph Schweigert, Mina Teicher
42.
ＥＢ
by Michael Drmota
43.
ＥＢ
by Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo
44.
ＥＢ
by Manuel Castellet, Alfred Geroldinger, Imre Z. Ruzsa
45.
ＥＢ
by Alexander Soifer
46.
ＥＢ
by Alexander Soifer
47.
ＥＢ
SpringerLink (Online service)
48.
ＥＢ
edited by Ilias S. Kotsireas, Eugene V. Zima
49.
ＥＢ
by Alexander Soifer
50.
ＥＢ
edited by Imre Bárány, József Solymosi, Gábor Sági
出版情報:
Berlin, Heidelberg : János Bolyai Mathematical Society and Springer-Verlag, 2010
シリーズ名:
Bolyai Society Mathematical Studies ; 21
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http://dx.doi.org/10.1007/978-3-642-14444-8
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51.
ＥＢ
edited by Gyula O. H. Katona, Alexander Schrijver, Tamás Szőnyi, Gábor Sági
出版情報:
Berlin, Heidelberg : János Bolyai Mathematical Society and Springer-Verlag, 2010
シリーズ名:
Bolyai Society Mathematical Studies ; 20
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http://dx.doi.org/10.1007/978-3-642-13580-4
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52.
ＥＢ
by Martin Aigner, Günter M. Ziegler
53.
ＥＢ
by Titu Andreescu, Bogdan Enescu
54.
ＥＢ
by W.D. Wallis
55.
ＥＢ
edited by Krishnaswami Alladi, Frank Garvan
56.
ＥＢ
edited by Daniel Bump, Solomon Friedberg, Dorian Goldfeld
目次情報:
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Preface
Introduction: Multiple Dirichlet Series
A Crystal Description for Symplectic Multiple Dirichlet Series
Metaplectic Whittaker Functions and Crystals of Type B
Metaplectic Ice
Littelmann patterns and Weyl Group Multiple Dirichlet Series of Type D
Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series
Natural Boundaries and Integral Moments of L-functions.- A Trace Formula of Special Values of Automorphic L-functions
The Adjoint L-function of SU(2,1)
Symplectic Ice
On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III
A Pseudo Twin-Prime Theorem
Principal Series Representations of Metaplectic Groups over Local Fields
Two-Dimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2)
Preface
Introduction: Multiple Dirichlet Series
A Crystal Description for Symplectic Multiple Dirichlet Series
57.
ＥＢ
by Albert N. Shiryaev
目次情報:
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Preface
1. Elementary Probability Theory
2. Mathematical Foundations of Probability Theory
3. Convergence of Probability Measures
4. Independent Random Variables
5. Stationary Random Sequences in Strict Sense
6. Stationary Random Sequences in Broad Sense
7. Martingales
8. Markov Chains
Appendix
References
Preface
1. Elementary Probability Theory
2. Mathematical Foundations of Probability Theory
58.
ＥＢ
by Megan Dewar, Brett Stevens
出版情報:
New York, NY : Springer New York : Imprint: Springer, 2012
シリーズ名:
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC ;
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http://dx.doi.org/10.1007/978-1-4614-4325-4
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Abstract
Acknowledgements
Introduction
Background
Ordering the Blocks of Designs
Gray Codes and Universal Cycles for Designs
New Results in Configuration Ordering
Conclusions and Future Work
Bibliography
Index
Abstract
Acknowledgements
Introduction
59.
ＥＢ
by Lev A. Sakhnovich
目次情報:
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Introduction
1 Levy processes
2 The principle of imperceptibility of the boundary
3 Approximation of positive functions
4 Optimal prediction and matched filtering
5 Effective construction of a class of non-factorable operators
6 Comparison of thermodynamic characteristics
7 Dual canonical systems and dual matrix string equations
8 Integrable operators and Canonical Differential Systems
9 The game between energy and entropy
10 Inhomogeneous Boltzmann equations
11 Operator Bezoutiant and concrete examples
Comments
Bibliography
Glossary
Index
Introduction
1 Levy processes
2 The principle of imperceptibility of the boundary
60.
ＥＢ
edited by A. Bjorner, F. Cohen, C. Concini, C. Procesi, M. Salvetti
目次情報:
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On the structure of spaces of commuting elements in compact Lie groups
On the fundamental group of the complement of two real tangent conics and an arbitrary number of real tangent lines
Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor
Characters of fundamental groups of curve complements and orbifold pencils
A survey of some recent results concerning polyhedral products
Analytic continuation of a parametric polytope and wall-crossing
Embeddings of braid groups into mapping class groups and their homology
The cohomology of the braid group B3 and of SL2(Z) with coefficients in a geometric representation
Pure braid groups are not residually free
Hodge–Deligne equivariant polynomials and monodromy of hyperplane arrangements
The contravariant form on singular vectors of a projective arrangement
Fox–Neuwirth cell structures and the cohomology of symmetric groups
Basic questions on Artin–Tits groups
Rational cohomology of the real Coxeter toric variety of type A
Arrangements stable under the Coxeter groups
Quantum and homological representations of braid groups
Cohomology of the complement to an elliptic arrangement
Residual nilpotence for generalizations of pure braid groups
Some topological problems on the configuration spaces of Artin and Coxeter groups
Chromatic quasisymmetric functions and Hessenberg varieties
Geometric and homological finiteness in free abelian covers
Minimal stratifications for line arrangements and positive homogeneous presentations for fundamental groups
On the structure of spaces of commuting elements in compact Lie groups
On the fundamental group of the complement of two real tangent conics and an arbitrary number of real tangent lines
Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor
61.
ＥＢ
by Tomaž Pisanski, Brigitte Servatius
目次情報:
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Preface
Introduction
Graphs
Groups, Actions, and Symmetry
Maps
Combinatorial Configurations
Geometric Configurations
Index
Bibliography
Preface
Introduction
Graphs
62.
ＥＢ
by Alison M. Marr, W.D. Wallis
目次情報:
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Preface
List of Figures
Preliminaries
Edge-Magic Total Labelings
Vertex-Magic Total Labelings
Totally Magic Labelings
Magic Type Labeling of Digraphs
Notes on the Research Problems
References
Bibliography
Answers to Selected Exercises
Index
Preface
List of Figures
Preliminaries
63.
ＥＢ
by Alexander A. Roytvarf
目次情報:
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Preface
Using the Stars on Problems
Understanding the Advanced Skill Requirements
Acknowledgements
Jacobi Identities and Related Combinatorial Formulas
A Property of Recursive Sequences
A Combinatorial Algorithm in Multiexponential Analysis
A Frequently Encountered Determinant.- A Dynamical System with a Strange Attractor
Polar and Singular Value Decomposition Theorems
2x2 Matrices Which Are Roots of Unity
A Property of Orthogonal Matrices
Convexity and Related Classical Inequalities
One-Parameter Groups of Linear Transformations.- Some Problems in Combinatorics and Analysis that can be Explored using Generating Functions
Least Squares and Chebyshev Systems
References
Index of Terms
Preface
Using the Stars on Problems
Understanding the Advanced Skill Requirements
64.
ＥＢ
by Mark Longueville
目次情報:
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Preface
List of Symbols and Typical Notation
1 Fair-Division Problems
2 Graph-Coloring Problems
3 Evasiveness of Graph Properties
4 Embedding and Mapping Problems
A Basic Concepts from Graph Theory
B Crash Course in Topology
C Partially Ordered Sets, Order Complexes, and Their Topology
D Groups and Group Actions
E Some Results and Applications from Smith Theory
References
Index
Preface
List of Symbols and Typical Notation
1 Fair-Division Problems
65.
ＥＢ
edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy
目次情報:
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A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
On the subgeneric restricted blocks of affine category O at the critical level
Slavnov determinants, Yang-Mills structure constants, and discrete KP
Monodromy of partial KZ functors for rational Cherednik algebras
Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples
Monoidal categorifications of cluster algebras of type A and D
A classification of roots of symmetric Kac-Moody root systems and its application
Fermions acting on quasi-local operators in the XXZ model
The Romance of the Ising Model
A(1) n -Geometric Crystal corresponding to Dynkin index i = 2 and its ultra-discretization
A Z3-orbifold theory of lattice vertex operator algebra and Z3-orbifold constructions
Words, automata and Lie theory for tilings
Toward Berenstein-Zelevinsky data in affine type A, part III: Proof of the connectedness
Quiver varieties and tensor products, II
Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
Padé interpolation for elliptic Painlevé equation
Non-commutative harmonic oscillators
The inversion formula of polylogarithms and the Riemann-Hilbert problem
Some remarks on the Quantum Hall Effect
Ordinary differential equations on rational elliptic surfaces
On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice
A restricted sum formula for a q-analogue of multiple zeta values
A trinity of the Borcherds _-function
Sum rule for the eight-vertex model on its combinatorial line
A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
66.
ＥＢ
edited by János Pach
目次情報:
続きを見る
Introduction
1) B. Ábrego - S. Fernández-Merchant - G. Salazar: The rectilinear crossing number of K_n: closing in (or are we?)
2) E. Ackerman: The maximum number of tangencies among convex regions with a triangle-free intersection graph
3) G. Aloupis - B. Ballinger - S. Collette - S. Langerman - A. Pór - D.R.Wood: Blocking coloured point sets
4) M. Al-Jubeh - G. Barequet - M. Ishaque - D. Souvaine - Cs. D. Tóth - A. Winslow: Constrained tri-connected planar straight line graphs
5) S. Buzaglo - R. Pinchasi - G. Rote: Topological hypergraphs
6) J. Cano Vila - L. F. Barba - J. Urrutia - T. Sakai: On edge-disjoint empty triangles of point sets
7) J. Cibulka - J. Kynčl - V. Mészáros - R. Stolař - P. Valtr: Universal sets for straight-line embeddings of bicolored graphs
8) G. Di Battista - F. Frati: Drawing trees, outerplanar graphs, series-parallel graphs, and planar graphs in small area
9) W. Didimo - G. Liotta: The crossing angle resolution in graph drawing
10) A. Dumitrescu: Mover problems
11) S. Felsner: Rectangle and square representations of planar graphs
12) R. Fulek - N. Saeedi - D. Sariöz: Convex obstacle numbers of outerplanar graphs and bipartite permutation graphs
13) R. Fulek - M. Pelsmajer - M. Schaefer - D. Štefankovič: Hanani-Tutte, monotone drawings, and level-planarity
14) R. Fulek - A. Suk: On disjoint crossing families in geometric graphs
15) M. Hoffmann - A. Schulz - M. Sharir - A. Sheffer - Cs. D. Tóth - E. Welzl: Counting plane graphs: flippability and its applications
16) F. Hurtado - Cs. D. Tóth: Geometric graph augmentation: a generic perspective
17) M. Kano - K. Suzuki: Discrete geometry on red and blue points in the plane lattice
18) Gy. Károlyi: Ramsey-type problems for geometric graphs
19) Ch. Keller - M. Perles - E. Rivera-Campo - V. Urrutia-Galicia: Blockers for non-crossing spanning trees in complete geometric graphs
20) A. V. Kostochka - K. G. Milans: Coloring clean and K_4-free circle graphs
21) F. Morić - D. Pritchard: Counting large distances in convex polygons: a computational approach
22) A. Raigorodskii: Coloring distance graphs and graphs of diameters
23) M. Schaefer: Realizability of graphs and linkages
24) C. Smyth: Equilateral sets in l_dp
25) A. Suk: A note on geometric 3-hypergraphs
26) K. Swanepoel: Favourite distances in high dimensions
27) M. Tancer: Intersection patterns of convex sets via simplicial complexes, a survey
28) G. Tardos: Construction of locally plane graphs with many edges
29) G. Tóth: A better bound for the pair-crossing number
30) U. Wagner: Minors, embeddability, and extremal problems for hypergraphs
Introduction
1) B. Ábrego - S. Fernández-Merchant - G. Salazar: The rectilinear crossing number of K_n: closing in (or are we?)
2) E. Ackerman: The maximum number of tangencies among convex regions with a triangle-free intersection graph
67.
ＥＢ
edited by Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, B. A. Taylor
目次情報:
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Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
Mahonian Partition Identities Via Polyhedral Geometry (M. Beck, B. Braun, N. Le)
Second Order Modular Forms with Characters (T. Blann, N. Diamantis)
Disjointness of Moebius From Horocycle Flows (J. Bourgain, P. Sarnak, T. Zeigler)
Duality and Differential Operators for Harmonic MAASS Forms (K. Bringmann, B. Kane, R.C. Rhoades)
Function Theory Related to the Group PSL2(R) (R. Bruggeman, J. Lewis, D. Zagier)
Analysis of Degenerate Diffusion Operators Arising in Population Biology (C.L. Epstein, R. Mazzeo)
A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture (H.M. Farkas)
Continuous Solutions of Linear Equations (C. Fefferman, J. Kollár)
Recurrence for Stationary Group Actions (H. Furstenberg, E. Glasner)
On the Honda—Kaneko Congruences (P. Guerzhoy)
Some Intrinsic Constructions on Compact Riemann Surfaces (Robert C. Gunning)
The Parallel Refractor (C.E. Gutiérrez, F. Tournier)
On a Theorem of N. Katz and Bases in Irreducible Representations (D. Kazhdan)
Vector-valued Modular Forms with an Unnatural Boundary (M. Knopp, G. Mason)
Loss of Derivatives (J.J. Kohn)
On an Oscillatory Result for the Coefficients of General Dirichlet Series (W. Kohnen, W. de Azevedo Pribitkin)
Representation Varieties of Fucsian Groups (M. Larsen, Alexander Lubotzky)
Two Embedding Theorems (G.A. Mendoza)
Cubature Formulas and Discrete Fourier Transform on Compact Manifolds (I. Z. Pesenson, D. Geller)
The Moment Zeta Function and Applications (I. Rivin)
A Transcendence Criterion for CM on Some Families of Calabi—Yau Manifolds (P. Tretkoff)
Ehrenpreis and the Fundamental Principle (F. Treves)
Minimal Entire Functions (B. Weiss)
A Conjecture by Leon Ehrenpreis about Zeroes of Exponential Polynomials (A. Yger)
The Discrete Analog of the Malgrange—Ehrenpreis Theorem (D. Zeilberger)
The Legacy of Leon Ehrenpreis
PhD Students
Publications of Leon Ehrenpreis
Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
68.
ＥＢ
by Ding-Zhu Du, Peng-Jun Wan
69.
ＥＢ
by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman
目次情報:
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Foreword
Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions
Representations and a Theorem of Krasner and Kaloujnine.- The Bieri-Strebel Theorems
Finitely Generated Metabelian Groups
An Embedding Theorem for Finitely Generated Metabelian Groups .- Sketch of Proof of Lemma 1.1
Theorem 2.1 Details
Presenting an (Internal) HNN-Extension
References
Foreword
Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions
Representations and a Theorem of Krasner and Kaloujnine.- The Bieri-Strebel Theorems
70.
ＥＢ
edited by Boris Goldengorin, Valery A. Kalyagin, Panos M. Pardalos
71.
ＥＢ
by Neal Madras, Gordon Slade
目次情報:
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Preface.- Introduction
Scaling, polymers and spins
Some combinatorial bounds
Decay of the two-point function
The lace expansion
Above four dimensions
Pattern theorems
Polygons, slabs, bridges and knots
Analysis of Monte Carlo methods
Related Topics
Random walk
Proof of the renewal theorem
Tables of exact enumerations
Bibliography
Notation
Index.
Preface.- Introduction
Scaling, polymers and spins
Some combinatorial bounds
72.
ＥＢ
by Richard P. Stanley
目次情報:
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Preface
Notation.- 1. Walks in graphs
2. Cubes and the Radon transform
3. Random walks
4. The Sperner property
5. Group actions on boolean algebras
6. Young diagrams and q-binomial coefficients
7. Enumeration under group action
8. A glimpse of Young tableaux
Appendix. The RSK algorithm
Appendix. Plane partitions
9. The Matrix–Tree Theorem
Appendix. Three elegant combinatorial proofs
10. Eulerian diagraphs and oriented trees
11. Cycles, bonds, and electrical networks
12. Miscellaneous gems of algebraic combinatorics
Hints
References
Preface
Notation.- 1. Walks in graphs
2. Cubes and the Radon transform
73.
ＥＢ
by Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
目次情報:
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1. Introduction
2. Classical combinatorial concepts
3. Hopf algebras
4. Compsition tableaux and further combinatorial concepts
5. Quasisymmetric Schur functions
References
Index
1. Introduction
2. Classical combinatorial concepts
3. Hopf algebras
74.
ＥＢ
by Pablo Soberón
目次情報:
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Introduction
1 First concepts
2 The pigeonhole principle
3 Invariants
4 Graph theory
5 Functions
6 Generating Functions
7 Partitions
8 Hints for the problems
9 Solutions to the problems
Notation
Further reading
Index
Introduction
1 First concepts
2 The pigeonhole principle
75.
ＥＢ
by Dieter Jungnickel
目次情報:
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Prefaces
Basic Graph Theory
Algorithms and Complexity
Shortest Paths
Spanning Trees
The Greedy Algorithm
Flows
Combinatorial Applications
Connectivity and Depth First Search
Colorings
Circulations
The Network Simplex Algorithm
Synthesis of Networks
Matchings
Weighted Matchings
A Hard Problem: The TSP
Appendix A: Some NP-Complete Problems
Appendix B: Solutions
Appendix C: List of Symbols
References
Index
Prefaces
Basic Graph Theory
Algorithms and Complexity
76.
ＥＢ
edited by Jean-Claude Falmagne, Dietrich Albert, Christopher Doble, David Eppstein, Xiangen Hu
目次情報:
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Overview:- Assessing Mathematical Knowledge in a Learning Space
ALEKS Based Placement at the University of Illinois
A Potential Technological Solution in Reducing Achievement Gap Between White and Black Students
Is There a Relationship Between Interacting with a Mathematical Intelligent Tutoring System and Students Performance on Standardized High-Stake Tests?
Using Knowledge Space Theory To Assess Student Understanding of Chemistry
Mathematical Compendium
Heuristics for Generating and Validating Surmise Relations across, between, and within Sets
Recent Developments in Competence-based Knowledge Space Theory
Recent Developments in Performance-based Knowledge Space Theory
Skills, Competencies and Knowledge Structures
Learning Sequences
Index
Reference
Overview:- Assessing Mathematical Knowledge in a Learning Space
ALEKS Based Placement at the University of Illinois
A Potential Technological Solution in Reducing Achievement Gap Between White and Black Students
77.
ＥＢ
by M. Ram Murty, V. Kumar Murty
目次情報:
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Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
Chapter 3. Ramanujan’s conjecture and l-adic representations
Chapter 4. The Ramanujan conjecture from GL(2) to GL(n)
Chapter 5. The circle method
Chapter 6. Ramanujan and transcendence
Chapter 7. Arithmetic of the partition function
Chapter 8. Some nonlinear identities for divisor functions
Chapter 9. Mock theta functions and mock modular forms
Chapter 10. Prime numbers and highly composite numbers
Chapter 11. Probabilistic number theory
Chapter 12. The Sato-Tate conjecture for the Ramanujan tau-function
Bibliography
Index
Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
78.
ＥＢ
edited by Hajnal Andréka, Miklós Ferenczi, István Németi
目次情報:
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Introduction
H. Andréka and I. Németi: Reducing First-order Logic to Df3, Free Algebras
N.Bezhanishvili: Varieties of Two-Dimensional Cylindric Algebras
R. Hirsch and I. Hodkinson: Completions and Complete Representations
J. Madarász and T. Sayed Ahmed: Amalgamation, Interpolation and Epimorphisms in Algebraic Logic
T. Sayed Ahmed: Neat Reducts and Neat Embeddings in Cylindric Algebras
M. Ferenczi: A New Representation Theory: Representing Cylindric-like Algebras by Relativized Set Algebras
A. Simon: Representing all Cylindric Algebras by Twisting, On a Problem of Henkin
A. Kurucz: Representable Cylindric Algebras and Many-Dimensional Modal Logics
T. Sayed Ahmed: Completions, Complete Representations and Omitting Types
G. Serény: Elements of Cylindric Algebraic Model Theory
Y. Venema: Cylindric Modal Logic
J. van Benthem: Crs and Guarded Logics: A Fruitful Contact
R. S. Dordevic and M. D. Raskovic: Cylindric Probability Algebras.-I. Duentsch: Cylindric Algebras and Relational Databases. – M. Ferenczi: Probability Measures and Measurable Functions on Cylindric Algebras. – A. Mann: Cylindric Set Algebras and IF Logic. – G. Sági: Polyadic Algebras. – I. Sain: Definability Issues in Universal Logic. – Bibliography. - Index
Introduction
H. Andréka and I. Németi: Reducing First-order Logic to Df3, Free Algebras
N.Bezhanishvili: Varieties of Two-Dimensional Cylindric Algebras
79.
ＥＢ
edited by László Lovász, Imre Z. Ruzsa, Vera T. Sós
目次情報:
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Contents
Preface
Alon, N.: Paul Erdös and Probabilistic Reasoning
Benjamini, I.: Euclidean vs. Graph Metric
Bollobas, B. and Riordan, O.: The Phase Transition in the Erdös–Rényi Random Graph Process
Bourgain, J.: Around the Sum-product Phenomenon
Breuillard, E., Green, B. and Tao, T.: Small Doubling in Groups
Diamond, H. G.: Erdös and Multiplicative Number Theory
Füredi, Z. and Simonovits, M.: The History of Degenerate (Bipartite) Extremal Graph Problems
Gowers, W. T.: Erdös and Arithmetic Progressions
Graham, R. L.: Paul Erdös and Egyptian Fractions
Györy, K.: Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions
Komjáth, P.: Erdös’s Work on Infinite Graphs
Kunen, K.: The Impact of Paul Erd˝os on Set Theory
Mauldin, R. D.: Some Problems and Ideas of Erdös in Analysis and Geometry
Montgomery, H. L.: L2 Majorant Principles
Nesetril, J.: A Combinatorial Classic – Sparse Graphs with High Chromatic Number
Nguyen, H. H. and Vu, V. H.: Small Ball Probability, Inverse Theorems, and Applications
Pach, J.: The Beginnings of Geometric Graph Theory
Pintz, J.: Paul Erdös and the Difference of Primes
Pollack, P. and Pomerance, C.: Paul Erdös and the Rise of Statistical Thinking in Elementary Number Theory
Rödl, V. and Schacht, M.: Extremal Results in Random Graphs.-Schinzel, A.: Erdös’s Work on the Sum of Divisors Function and on Euler’s Function
Shalev, A.: Some Results and Problems in the Theory of Word Maps
Tenenbaum, G.: Some of Erdös’ Unconventional Problems in Number Theory, Thirty-four Years Later
Totik, V.: Erdös on Polynomials
Vertesi, P.: Paul Erdös and Interpolation: Problems, Results, New Developments
Contents
Preface
Alon, N.: Paul Erdös and Probabilistic Reasoning
80.
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edited by Jaroslav Nešetřil, Marco Pellegrini
81.
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edited by Imre Bárány, Károly J. Böröczky, Gábor Fejes Tóth, János Pach
目次情報:
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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
82.
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by Leonidas S. Pitsoulis
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1.Introduction
2.Graph Theory, Vector Spaces and Transversals
3.Definition of Matroids
4.Representability, Duality, Minors, and Connectivity
5. Decomposition of Graphic Matroids
6.Signed-Graphic Matroids
List of Symbols
Index
1.Introduction
2.Graph Theory, Vector Spaces and Transversals
3.Definition of Matroids
83.
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by Wolfram Koepf
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Introduction
The Gamma Function
Hypergeometric Identities
Hypergeometric Database
Holonomic Recurrence Equations
Gosper’s Algorithm
The Wilf-Zeilberger Method
Zeilberger’s Algorithm
Extensions of the Algorithms
Petkovˇsek’s and Van Hoeij’s Algorithm
Differential Equations for Sums
Hyperexponential Antiderivatives
Holonomic Equations for Integrals
Rodrigues Formulas and Generating Functions
Introduction
The Gamma Function
Hypergeometric Identities
84.
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by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó
目次情報:
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Preface
1 Introduction
2 Maker-Breaker Games
3 Biased Games
4 Avoider-Enforcer Games
5 The Connectivity Game
6 The Hamiltonicity Game
7 Fast and Strong
8 Random Boards
9 The Neighborhood Conjecture
Bibliography
Preface
1 Introduction
2 Maker-Breaker Games
85.
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by Ross G. Pinsky
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Partitions With Restricted Summands or "The Money Changing Problem"
The Asymptotic Density of Relatively Prime Pairs and of Square-Free Numbers
A One-Dimensional Probabilistic Packing Problem
The Arcsine Laws for the One-Dimensional Simple Symmetric Random Walk
The Distribution of Cycles in Random Permutations
Chebyshev's Theorem on the Asymptotic Density of the Primes
Mertens' Theorems on the Asymptotic Behavior of the Primes
The Hardy-Ramanujan Theorem on the Number of Distinct Prime Divisors
The Largest Clique in a Random Graph and Applications to Tampering Detection and Ramsey Theory
The Phase Transition Concerning the Giant Component in a Sparse Random Graph–a Theorem of Erdős and Rényi
Partitions With Restricted Summands or "The Money Changing Problem"
The Asymptotic Density of Relatively Prime Pairs and of Square-Free Numbers
A One-Dimensional Probabilistic Packing Problem
86.
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by Ralf Schiffler
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名:
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-319-09204-1
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Part I: Quivers and their representations
Representations of quivers
Projective and injective representations
Examples of Auslander-Reiten quivers
Part II: Path algebras
Algebras and modules
Bound quiver algebras
New algebras from old
Auslander-Reiten theory
Quadratic forms and Gabriel’s theorem
Part I: Quivers and their representations
Representations of quivers
Projective and injective representations
87.
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by Mark Joshi
目次情報:
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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
88.
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by Martin Aigner, Günter M. Ziegler
89.
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Korte, Bernhard ; Vygen, Jens ; SpringerLink (Online service)
90.
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by Anton Betten, Michael Braun, Harald Fripertinger, Adalbert Kerber, Axel Kohnert, Alfred Wassermann
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名:
Algorithms and Computation in Mathematics ; 18
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/3-540-31703-1
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91.
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by Petteri Kaski, Patric R.J. Östergård
92.
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edited by Martin Klazar, Jan Kratochvíl, Martin Loebl, Jiří Matoušek, Pavel Valtr, Robin Thomas
93.
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edited by Joan Bagaria, Stevo Todorcevic
94.
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by W. D. Wallis
95.
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by Răzvan Gelca, Titu Andreescu
96.
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by Matthias Beck, Sinai Robins
97.
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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
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-540-32777-6
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98.
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edited by Martin Aigner
99.
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edited by Peter Orlik, Volkmar Welker
100.
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by Noel Brady, Tim Riley, Hamish Short
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