close
1.

図書

図書
edited by Makoto Maejima, Tokuzo Shiga
出版情報: New Jersey : World Scientific, c2002  xi, 430 p. ; 26 cm
所蔵情報: loading…
2.

図書

図書
国立歴史民俗博物館 [編]
出版情報: 佐倉 : 国立歴史民俗博物館, 2001.3-  冊 ; 31cm
所蔵情報: loading…
3.

図書

図書
Martin A. Moskowitz
出版情報: Singapore ; New Jersey : World Scientific, c2002  ix, 149 p. ; 23 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface and Acknowledgments
First Concepts / 1:
Fundamentals of the complex field / 1.1:
Holomorphic functions / 1.2:
Some important examples / 1.3:
The Cauchy-Riemann equations / 1.4:
Some elementary differential equations / 1.5:
Conformality / 1.6:
Power series / 1.7:
Integration Along a Contour / 2:
Curves and their trajectories / 2.1:
Change of Parameter and a Fundamental Inequality / 2.2:
Some important examples of contour integration / 2.3:
The Cauchy theorem in simply connected domains / 2.4:
Some immediate consequences of Cauchy's theorem for a simply connected domain / 2.5:
The Main Consequences of Cauchy's theorem / 3:
The Cauchy theorem in multiply connected domains and the pre-residue theorem / 3.1:
The Cauchy integral formula and its consequences / 3.2:
Analyticity, Taylor's theorem and the identity theorem / 3.3:
The area formula and some consequences / 3.4:
Application to spaces of square integrable holomorphic functions / 3.5:
Spaces of holomorphic functions and Montel's theorem / 3.6:
The maximum modulus theorem and Schwarz' lemma / 3.7:
Singularities / 4:
Classification of isolated singularities, the theorems of Riemann and Casorati-Weierstrass / 4.1:
The principle of the argument / 4.2:
Rouche's theorem and its consequences / 4.3:
The study of a transcendental equation / 4.4:
Laurent expansion / 4.5:
The calculation of residues at an isolated singularity, the residue theorem / 4.6:
Application to the calculation of real integrals / 4.7:
A more general removable singularities theorem and the Schwarz reflection principle / 4.8:
Conformal Mappings / 5:
Linear fractional transformations, equivalence of the unit disk and the upper half plane / 5.1:
Automorphism groups of the disk, upper half plane and entire plane / 5.2:
Annuli / 5.3:
The Riemann mapping theorem for planar domains / 5.4:
Applications of Complex Analysis to Lie Theory / 6:
Applications of the identity theorem: Complete reducibility of representations according to Hermann Weyl and the functional equation for the exponential map of a real Lie group / 6.1:
Application of residues: The surjectivity of the exponential map for U(p,q) / 6.2:
Application of Liouville's theorem and the maximum modulus theorem: The Zariski density of cofinite volume subgroups of complex Lie groups / 6.3:
Applications of the identity theorem to differential topology and Lie groups / 6.4:
Bibliography
Index
Preface and Acknowledgments
First Concepts / 1:
Fundamentals of the complex field / 1.1:
4.

図書

図書
総務省統計局編
出版情報: 東京 : 日本統計協会, 2002-  冊 ; 26-31cm
所蔵情報: loading…
5.

図書

図書
editors, Toshikazu Sunada, Polly W Sy, Yang, Lo
出版情報: River Edge, N.J. : World Scientific, c2002  xviii, 613 p. ; 23 cm
所蔵情報: loading…
6.

図書

図書
by R. Beattie and H.-P. Butzmann
出版情報: Dordrecht : Kluwer Academic, c2002  xiii, 264 p. ; 25 cm
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Convergence spaces / 1:
Preliminaries / 1.1:
Initial and final convergence structures / 1.2:
Special convergence spaces, modifications / 1.3:
Compactness / 1.4:
The continuous convergence structure / 1.5:
Countability properties and sequences in convergence spaces / 1.6:
Sequential convergence structures / 1.7:
Categorical aspects / 1.8:
Uniform convergence spaces / 2:
Generalities on uniform convergence spaces / 2.1:
Initial and final uniform convergence structures / 2.2:
Complete uniform convergence spaces / 2.3:
The Arzela-Ascoli theorem / 2.4:
The uniform convergence structure of a convergence group / 2.5:
Convergence vector spaces / 3:
Convergence groups / 3.1:
Generalities on convergence vector spaces / 3.2:
Initial and final vector space convergence structures / 3.3:
Projective and inductive limits of convergence vector spaces / 3.4:
The locally convex topological modification / 3.5:
Countability axioms for convergence vector spaces / 3.6:
Boundedness / 3.7:
Notes on bornological vector spaces / 3.8:
Duality / 4:
The dual of a convergence vector space / 4.1:
Reflexivity / 4.2:
The dual of a locally convex topological vector space / 4.3:
An application of continuous duality / 4.4:
Notes / 4.5:
Hahn-Banach extension theorems / 5:
General results / 5.1:
Hahn-Banach spaces / 5.2:
Extending to the adherence / 5.3:
Strong Hahn-Banach spaces / 5.4:
An application to partial differential equations / 5.5:
The closed graph theorem / 5.6:
Ultracompleteness / 6.1:
The main theorems / 6.2:
An application to web spaces / 6.3:
The Banach-Steinhaus theorem / 7:
Equicontinuous sets / 7.1:
Banach-Steinhaus pairs / 7.2:
The continuity of bilinear mappings / 7.3:
Duality theory for convergence groups / 8:
Duality for convergence vector spaces / 8.1:
Subgroups and quotient groups / 8.3:
Topological groups / 8.4:
Groups of unimodular continuous functions / 8.5:
c- and co-duality for topological groups / 8.6:
Bibliography
List of Notations
Index
Introduction
Convergence spaces / 1:
Preliminaries / 1.1:
7.

図書

図書
editors, H. Fujita, S.T. Kuroda, H. Okamoto
出版情報: Tokyo : University of Tokyo Press Production Center [producer] , Tokyo : Yurinsha [distoributor], c2002  viii, 284 p. ; 27 cm
所蔵情報: loading…
8.

図書

図書
Valery Rubakov ; translated by Stephen S. Wilson
出版情報: Princeton : Princeton University Press, c2002  x, 444 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
Gauge Principle in Electrodynamics / Part I:
Electromagnetic-field action in vacuum / 1.1:
Gauge invariance / 1.2:
General solution of Maxwell's equations in vacuum / 1.3:
Choice of gauge / 1.4:
Scalar and Vector Fields / Chapter 2:
System of units h = c = 1 / 2.1:
Scalarfield action / 2.2:
Massive vectorfield / 2.3:
Complex scalarfield / 2.4:
Degrees of freedom / 2.5:
Interaction offields with external sources / 2.6:
Interactingfields. Gauge-invariant interaction in scalar electrodynamics / 2.7:
Noether's theorem / 2.8:
Elements of the Theory of Lie Groups and Algebras / Chapter 3:
Groups / 3.1:
Lie groups and algebras / 3.2:
Representations of Lie groups and Lie algebras / 3.3:
Compact Lie groups and algebras / 3.4:
Non-Abelian Gauge Fields / Chapter 4:
Non-Abelian global symmetries / 4.1:
Non-Abelian gauge invariance and gaugefields: the group SU(2) / 4.2:
Generalization to other groups / 4.3:
Field equations / 4.4:
Cauchy problem and gauge conditions / 4.5:
Spontaneous Breaking of Global Symmetry / Chapter 5:
Spontaneous breaking of discrete symmetry / 5.1:
Spontaneous breaking of global U(1) symmetry. Nambu-Goldstone bosons / 5.2:
Partial symmetry breaking: the SO(3) model / 5.3:
General case. Goldstone's theorem / 5.4:
Higgs Mechanism / Chapter 6:
Example of an Abelian model / 6.1:
Non-Abelian case: model with complete breaking of SU(2) symmetry / 6.2:
Example of partial breaking of gauge symmetry: bosonic sector of standard electroweak theory / 6.3:
Supplementary Problems for
The Simplest Topological Solitons / Part II:
Kink / 7.1:
Scale transformations and theorems on the absence of solitons / 7.2:
The vortex / 7.3:
Soliton in a model of n-field in (2 + 1)-dimensional space-time / 7.4:
Elements of Homotopy Theory / Chapter 8:
Homotopy of mappings / 8.1:
The fundamental group / 8.2:
Homotopy groups / 8.3:
Fiber bundles and homotopy groups / 8.4:
Summary of the results / 8.5:
Magnetic Monopoles / Chapter 9:
The soliton in a model with gauge group SU(2) / 9.1:
Magnetic charge / 9.2:
Generalization to other models / 9.3:
The limit mh/mv 0 / 9.4:
Dyons / 9.5:
Non-Topological Solitons / Chapter 10:
Tunneling and Euclidean Classical Solutions in Quantum Mechanics / Chapter 11:
Decay of a metastable state in quantum mechanics of one variable / 11.1:
Generalization to the case of many variables / 11.2:
Tunneling in potentials with classical degeneracy / 11.3:
Decay of a False Vacuum in Scalar Field Theory / Chapter 12:
Preliminary considerations / 12.1:
Decay probability: Euclidean bubble (bounce) / 12.2:
Thin-wall approximation / 12.3:
Instantons and Sphalerons in Gauge Theories / Chapter 13:
Euclidean gauge theories / 13.1:
Instantons in Yang-Mills theory / 13.2:
Classical vacua and 0-vacua / 13.3:
Sphalerons in four-dimensional models with the Higgs mechanism / 13.4:
Fermions in Background Fields / Part III:
Free Dirac equation / 14.1:
Solutions of the free Dirac equation. Dirac sea / 14.2:
Fermions in background bosonicfields / 14.3:
Fermionic sector of the Standard Model / 14.4:
Fermions and Topological External Fields in Two-dimensional Models / Chapter 15:
Charge fractionalization / 15.1:
Level crossing and non-conservation of fermion quantum numbers / 15.2:
Fermions in Background Fields of Solitons and Strings in Four-Dimensional Space-Time / Chapter 16:
Fermions in a monopole backgroundfield: integer angular momentum and fermion number fractionalization / 16.1:
Scattering of fermions off a monopole: non-conservation of fermion numbers / 16.2:
Zero modes in a backgroundfield of a vortex: superconducting strings / 16.3:
Preface
Gauge Principle in Electrodynamics / Part I:
Electromagnetic-field action in vacuum / 1.1:
9.

図書

図書
Burger, Marc ; Iozzi, Alessandra
出版情報: Berlin ; Tokyo : Springer-Verlag, c2002  492 p. ; 24 cm
所蔵情報: loading…
10.

図書

図書
editors V. F. Kolchin ... [et. al.]
出版情報: Utrecht : VSP, c2002  x, 389 p. ; 25 cm
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼