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1.

図書

図書
edited by R. M. F. Moss and C. B. Thomas
出版情報: Berlin ; New York : Springer-Verlag, 1969  iv, 86 p ; 26 cm
シリーズ名: Lecture notes in mathematics ; 108
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2.

図書

図書
Charles B. Thomas
出版情報: New York : Kluwer Academic/Plenum, c1999  ix, 199 p. ; 24 cm
シリーズ名: The University series in mathematics
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3.

図書

図書
Gérald Tenenbaum ; [translated by C.B. Thomas]
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1995  xiv, 448 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 46
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Foreword
Notation
Elementary Methods: Some tools from real analysis / Part I:
Prime numbers / 1:
Arithmetic functions / 2:
Average orders / 3:
Sieve methods / 4:
Extremal orders / 5:
The method of van der Corput / 6:
Methods of Complex Analysis / Part II:
Generating functions: Dirichlet series
Summation formulae
The Riemann zeta function
The Prime Number Theorem and the Riemann Hypothesis
The Selberg-Delange method
Two arithmetic applications
Tauberian theorems / 7:
Prime numbers in arithmetic progressions / 8:
Probabilistic Methods / Part III:
Densities
Limiting distribution of arithmetic functions
Normal order
Distribution of additive functions and mean values of multiplicative functions
Integers free of large prime factors. The saddle-point method
Integers free of small prime factors
Bibliography
Index.
Foreword
Notation
Elementary Methods: Some tools from real analysis / Part I:
4.

図書

図書
edited by C.B. Thomas
出版情報: Cambridge ; New York : Cambridge University Press, 1996  xviii, 310 p. ; 24 cm
シリーズ名: Publications of the Newton Institute
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5.

図書

図書
C.B. Thomas
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1986  xii, 129 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 9
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Group cohomology / 1:
Products and change of group / 2:
Relations with subgroups and duality / 3:
Spectral sequences / 4:
Representations and vector bundles / 5:
Bundles over the classifying space for a discrete group / 6:
The symmetric group / 7:
Finite groups with p-rank less than or equal to 2 / 8:
Linear groups over finite fields. / 9:
Linear groups over finite fields
Group cohomology / 1:
Products and change of group / 2:
Relations with subgroups and duality / 3:
6.

図書

図書
edited by S.K. Donaldson, C.B. Thomas
出版情報: Cambridge : Cambridge University Press, 1990  xiii, 242 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 151 . Geometry of lowーdimensional manifolds ; 2
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Contents of Volume 1
Contributors
Names of Participants
Introduction
Acknowledgements
Symplectic Geometry / Part 1:
Rational and ruled symplectic 4-manifolds / Dusa McDuff
Symplectic capacities / H. Hofer
The nonlinear Maslov index / A.B. Givental
Filling by holomorphic discs and its applications / Yakov Eliashberg
Jones/Witten Theory / Part 2:
New results in Chern-Simons theory / Edward Witten ; Lisa Jeffrey
Geometric quantization of spaces of connections / N.J. Hitchin
Evaluations of the 3-manifold invariants of Witten and Reshetikhin-Turaev for s/(2, C) / Robion Kirby ; Paul Melvin
Representations of braid groups / M.F. Atiyah ; S.K. Donaldson
Three-Dimensional Manifolds / Part 3:
An introduction to polyhedral metrics of non-positive curvature on 3-manifolds / I.R. Aitchison ; J.H. Rubinstein
Finite groups of hyperbolic isometries / C.B. Thomas
Pin structures on low-dimensional manifolds / R.C. Kirby ; L.R. Taylor
Contents of Volume 2
Acknowledgments
Four-Manifolds and Algebraic Surfaces
Yang-Mills invariants of four-manifolds
On the topology of algebraic surfaces / Robert E. Gompf
The topology of algebraic surfaces with q = pg = 0 / Dieter Kotschick
On the Homeomorphism classification of smooth knotted surfaces in the 4-sphere / Matthias Kreck
Flat algebraic manifolds / F.A.E. Johnson
Floer's Instanton Homology Groups
Instanton homology, surgery and knots / Andreas Floer
Instanton homology
Invariants for homology 3-spheres / Ronald Fintushel ; Ronald J. Stern
On the Floer homology of Seifert fibered homology 3-spheres / Christian Okonek
Z[subscript a]-invariant SU(2) instantons over the four-sphere / Mikio Furuta
Differential Geometry and Mathematical Physics
Skyrme fields and instantons / N.S. Manton
Representations of braid groups and operators coupled to monopoles / Ralph E. Cohen ; John D.S. Jones
Extremal immersions and the extended frame bundle / D.H. Hartley ; R.W. Tucker
Minimal surfaces in quaternionic symmetric spaces / F.E. Burstall
Three-dimensional Einstein-Weyl geometry / K.P. Tod
Harmonic Morphisms, conformal foliations and Seifert fibre spaces / John C. Wood
Contents of Volume 1
Contributors
Names of Participants
7.

図書

図書
edited by S.K. Donaldson, C.B. Thomas
出版情報: Cambridge : Cambridge University Press, 1990  xiii, 259 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 150 . Geometry of lowーdimensional manifolds ; 1
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目次情報: 続きを見る
Contributors
Names of Participants
Introduction
Acknowledgments
Four-Manifolds and Algebraic Surfaces / Part I:
Yang-Mills invariants of four-manifolds / S. K. Donaldson1:
On the topology of algebraic surfaces / Robert E. Gompf2:
The topology of algebraic surfaces with q=pg=0 / Dieter Kotschick3:
On the homeomorphism classification of smooth knotted surfaces in the 4-sphere / Matthias Kreck4:
Flat algebraic manifolds / F. A. E. Johnson5:
Floer's Instanton Homology Groups / Part II:
Instanton homology, surgery and knots / Andreas Floer6:
Instanton homology / Andreas Floer, notes ; Dieter Knotschick7:
Invariants for homology 3-spheres / Ronald Fintushel ; Ronald J. Stern8:
On the Floer homology of Seifert fibered homology 3-spheres / Christian Okonek9:
Za-invariant SU(2) instantons over the four-sphere / Mikio Furuta10:
Differential Geometry and Mathematical Physics / Part III:
Skyrme fields and instantons / N. S. Manton11:
Representations of braid groups and operators coupled to monopoles / Ralph E. Cohen ; John D. S. Jones12:
Extremal immersions and the extended frame bundle / D. H. Hartley ; R. W. Tucker13:
Minimal surfaces in quaternionic symmetric spaces / F. E. Burstall14:
Three-dimensional Einstein-Weyl geometry / K. P. Tod15:
Harmonic Morphisms, conformal foliations and Seifert fibre spaces / John C. Wood16:
Contributors
Names of Participants
Introduction
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