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1.

図書
図書
1. On Euler equations and statistical physics
Pierre-Louis Lions
出版情報: Pisa : Scuola Normale Superiore Pubblicazioni della Classe di Scienze, 1997  69 p. ; 25 cm
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2.

図書
図書
2. Proceedings, 1999 SPE annual technical conference and exhibition, 3-6 October 1999, Houston, Texas, U.S.A.
Society of Petroleum Engineers of AIME
出版情報: [Dallas, Tex.] : Society of Petroleum Engineers, c1999  6 v. ; 28 cm
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3.

図書
図書
3. An introduction to commutative algebra and number theory
Sukumar Das Adhikari
出版情報: New Delhi : Narosa, c1999  xiii, 153 p. ; 24 cm
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4.

図書
図書
4. The theory of 2-structures : a framework for decomposition and transformation of graphs
A. Ehrenfeucht, T. Harju, G. Rozenberg
出版情報: Singapore : World Scientific, c1999  xvi, 290 p. ; 23 cm
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目次情報: 続きを見る
Preface
Preliminaries / Chapter 1：
Notations / 1.1：
Sets and functions / 1.1.1：
Closure operators / 1.1.2：
Relations / 1.1.3：
Equivalence relations / 1.1.4：
Partial orders / 1.2：
Downsets / 1.2.1：
Order embeddings / 1.2.2：
Linear orders / 1.2.3：
Semigroups and groups / 1.3：
Notations for semigroups and monoids / 1.3.1：
Free monoids (with involution) / 1.3.2：
Preliminaries on groups / 1.3.3：
Group actions / 1.3.4：
Free groups, commutators and verbal identities / 1.3.5：
Graph Theoretical Preliminaries / Chapter 2：
Directed and Undirected Graphs / 2.1：
Basic notions / 2.1.1：
Connectivity of graphs / 2.1.2：
Some special graphs / 2.1.3：
Comparability graphs / 2.2：
Transitively oriented graphs / 2.2.1：
Permutation graphs and cographs / 2.2.2：
Construction trees of cographs / 2.2.3：
2-Structures and Their Clans / Chapter 3：
Introduction and representations / 3.1：
Definition of a 2-structure / 3.1.1：
Isomorphic 2-structures / 3.1.2：
Reversibility / 3.1.3：
Substructures and clans / 3.2：
Substructures, clans and factors / 3.2.1：
Refinements and similarity / 3.2.2：
Reversible version / 3.2.3：
Graphs and packed components / 3.2.4：
Some special 2-structures / 3.2.5：
Closure properties of clans / 3.3：
Basic closures / 3.3.1：
Sibas: set theoretic closure properties / 3.3.2：
Clans of factors / 3.3.3：
Prime clans / 3.4：
Prime members in sibas / 3.4.1：
Minimal overlapping clans / 3.4.2：
Quotients and Homomorphisms / Chapter 4：
Quotients / 4.1：
Factorizations and quotients / 4.1.1：
Homomorphisms / 4.1.2：
Natural epimorphisms and decompositions / 4.1.3：
Clans and epimorphisms / 4.2：
Homomorphism theorem / 4.2.1：
Prime clans in quotients / 4.2.2：
Primitive quotients / 4.2.3：
Other operations / 4.3：
Premorphisms / 4.3.1：
Extensions / 4.3.2：
Clan Decomposition / Chapter 5：
The clan decomposition theorem / 5.1：
Maximal prime clans / 5.1.1：
Special sibas and 2-structures / 5.1.2：
The relationship of sibas to 2-structures / 5.1.3：
The shape of a 2-structure / 5.2：
The shape and its representation as a tree / 5.2.1：
Same shapes / 5.2.2：
A construction of prime clans / 5.3：
A construction of clans / 5.3.1：
Primitive 2-Structures / 5.3.2：
Small primitive substructures / 6.1：
Uniformly imprimitive 2-structures / 6.1.1：
Primitive substructures of 3 or 4 nodes / 6.1.2：
Hereditary properties / 6.2：
Local and global nodes / 6.2.1：
Critically primitive 2-structures / 6.2.2：
The parity theorem / 6.3.1：
The list of critically primitive 2-structures / 6.3.2：
Angular 2-Structures / Chapter 7：
Angularity / 7.1：
All-connectivity / 7.1.1：
All-connected skew angular 2-structures / 7.1.2：
T-structures / 7.2：
T-structures and partial orders / 7.2.1：
T[subscript 2]-structures / 7.2.2：
Linear orders and Schroder numbers / 7.3：
Bi-orders and linear orders / 7.3.1：
Uniformly imprimitive linear orders / 7.3.2：
Parenthesis words and Schroder numbers / 7.3.3：
Labelled 2-Structures / Chapter 8：
Introduction to l2-structures / 8.1：
Definitions / 8.1.1：
Substructures, clans and quotients / 8.1.2：
Clan decomposition of l2-structures / 8.2：
Uniqueness of decompositions / 8.2.1：
The shape of an l2-structure / 8.2.2：
Graphs and their representations / 8.2.3：
Graphs as l2-structures / 8.3.1：
On comparability graphs / 8.3.2：
Unstable Labelled 2-Structures / Chapter 9：
Triangle free and unstable l2-structures / 9.1：
Removable edges / 9.1.1：
Internal and external nodes / 9.1.2：
Triangle-free l2-structures / 9.1.3：
Heredity in unstable l2-structures / 9.2：
The partition of nodes / 9.2.1：
Alternating structures / 9.2.2：
Degrees of nodes / 9.2.3：
A composition of unstable l2-structures / 9.3：
A constructive reduction of primitive l2-structures / 9.3.1：
Pendant components / 9.3.2：
Automorphisms of Labelled 2-Structures / Chapter 10：
Label preserving automorphisms / 10.1：
The l-automorphism groups / 10.1.1：
Transitivity / 10.1.2：
Automorphic actions on factors / 10.1.3：
Universality of l-automorphism groups / 10.1.4：
Nonpreserving automorphisms / 10.2：
Connections to l-automorphisms / 10.2.1：
Transitivity and associated permutations / 10.2.2：
Representing labels by automorphisms / 10.2.3：
Switching of Graphs / Chapter 11：
Introduction to switching / 11.1：
The group of graphs / 11.1.1：
Switching classes / 11.1.3：
Structural properties of switching classes / 11.2：
A local characterization / 11.2.1：
Automorphisms / 11.2.2：
Special problems on undirected graphs / 11.3：
Two-graphs / 11.3.1：
Eulerian graphs / 11.3.2：
Pancyclic graphs / 11.3.3：
Trees / 11.3.4：
Labelled Structures over Groups / Chapter 12：
Introduction / 12.1：
Groups and involutions / 12.1.1：
Selectors and switching classes / 12.1.2：
An interpretation in networks / 12.2：
Concurrent behaviour in networks / 12.2.1：
Reducing the actions to groups / 12.2.2：
Introducing reversibility / 12.2.3：
Examples for some special groups / 12.3：
The cyclic groups Z[subscript 3] and Z[subscript 4] / 12.3.1：
The symmetric group S[subscript 3] / 12.3.2：
Clans of Switching Classes / Chapter 13：
Associated groups / 13.1：
The group of selectors / 13.1.1：
The group of abelian switching classes / 13.1.2：
Clans and horizons / 13.2：
Spanning trees / 13.2.1：
Horizons and constant selectors / 13.2.2：
Clans / 13.2.3：
Cardinalities of switching classes / 13.3：
Some special cases / 13.3.1：
Centralizers / 13.3.2：
Some improvements / 13.3.3：
Quotients and Plane Trees / Chapter 14：
Quotients of switching classes / 14.1：
Planes and plane trees / 14.1.1：
Planes / 14.2.1：
Plane trees / 14.2.2：
Bijective correspondence of plane trees / 14.2.3：
Forms / 14.2.4：
Invariants / Chapter 15：
Free invariants / 15.1：
General invariants / 15.1.1：
Edge monoids / 15.1.2：
Variable functions and free invariants / 15.1.3：
Group properties of free invariants / 15.2：
Abelian property / 15.2.1：
Graphs of words / 15.2.2：
Verbal identities / 15.2.3：
Invariants on abelian groups / 15.3：
Independency of free invariants / 15.3.1：
Complete sets of invariants / 15.3.2：
Invariants on nonabelian groups / 15.4：
General observations / 15.4.1：
Central characters / 15.4.2：
A characterization theorem / 15.4.3：
Bibliography
Index
Preface
Preliminaries / Chapter 1：
Notations / 1.1：
5.

図書
図書
5. Selected topics in characteristic functions
Nikolai G. Ushakov
出版情報: Utrecht : VSP, 1999  ix, 355 p. ; 26 cm
シリーズ名: Modern probability and statistics
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6.

図書
図書
6. Proceedings, 1997 annual conference, June 15-19, 1997, Atlanta, Georgia (: set)
American Water Works Association
出版情報: Denver, CO : American Water Works Association, c1997  5 v. ; 22 cm
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7.

図書
図書
7. Proceedings, 1998 annual conference, June 21-25, 1998, Dallas, Texas (: set)
American Water Works Association
出版情報: Denver, CO : American Water Works Association, c1998  5 v. ; 22 cm
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8.

図書
図書
8. HYDRA 2000 : proceedings of the XXVIth Congress of the International Association for Hydraulic Research, London, 11-15 September 1995
International Association for Hydraulic Research. Congress ; Institution of Civil Engineers (Great Britain) ; International Association for Hydraulic Research
出版情報: London : Telford, 1995  5 v. ; 21 cm
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9.

図書
図書
9. Mathematical theory of quantum fields
Huzihiro Araki ; translated by Ursula Carow-Watamura
出版情報: Oxford : Oxford University Press, 1999  xii, 236 p. ; 24 cm
シリーズ名: The international series of monographs on physics ; v. 101
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目次情報: 続きを見る
States and observables / 1：
Probabilistic description / 1.1：
Functions of observables / 1.2：
The expectation value of an observable / 1.4：
Mixture and pure states / 1.5：
The physical topology of the states / 1.6：
Equivalent theories / 1.7：
Symmetries / 1.8：
Quantum theory / 2：
The quantum mechanical descrption / 2.1：
Algebraic viewpoint / 2.2：
The representation associated with a state: GNS construction / 2.3：
The symmetries of quantum mechanics / 2.4：
Symmetries from the algebraic point of view / 2.5：
The relativistic symmetry / 3：
Minkowski space / 3.1：
The inhomogeneous Lorentz group / 3.2：
The relativistic symmetry in quantum mechanics / 3.3：
Irreducible representations and one-particle states / 3.4：
Free particle system and Fock space / 3.5：
Energy momentum / 3.6：
Local observables / 4：
General properties of local observables / 4.1：
The vacuum state / 4.2：
Irreducibility / 4.3：
Mass gap and exponential clustering property / 4.4：
The JLD representation / 4.5：
Truncated expectation values and multiple clustering property / 4.6：
Additivity assumption and Reeh-Schlieder theorem / 4.7：
Quantum field theory / 4.8：
From quantum fields to local observables / 4.9：
Scattering theory / 5：
The concept of scattering states and the S-matrix / 5.1：
Description of asymptotic states / 5.2：
Construction of asymptotic states / 5.3：
The counter interpretation of asymptotic states--verification of an appropriate asymptotic behaviour / 5.4：
Asymptotic conditions and reduction formula for the S-matrix / 5.5：
Analyticity and TCP symmetry / 5.6：
Sector theory / 6：
Superselection rules and localized excitations / 6.1：
Localized endomorphisms and sectors / 6.2：
Permutation of excitations and statistics of a sector / 6.3：
Charge conjugate sector / 6.4：
Operator algebra system of fields and gauge groups / 6.5：
Theory of local charges / 6.6：
Hilbert space and operators / Appendix A：
Hilbert space / A.1：
Pre-Hilbert space and completion / A.2：
Orthonormal basis / A.3：
Unitary and antiunitary maps / A.4：
Subspaces and projection operators / A.5：
Direct sum and direct integral / A.6：
Spectral decomposition / A.7：
Trace / A.8：
Unbounded operators / A.9：
One-parameter group of unitary operators / A.10：
Tensor product / A.11：
Operator algebras / Appendix B：
C* algebras / B.1：
Von Neumann algebras / B.2：
Free fields / Appendix C：
Charged scalar field / C.1：
One particle system with positive mass and arbitrary spin / C.2：
Examples of free fields with positive mass and integer spin / C.3：
Examples of free fields with positive mass and half odd integer spin / C.4：
General literature and references
References for Chapter 1
References for Chapter 2
References for Chapter 3
References for Chapter 4
References for Chapter 5
References for Chapter 6
Literature for appendices
Index
States and observables / 1：
Probabilistic description / 1.1：
Functions of observables / 1.2：
10.

図書
図書
10. Lectures on Geometry and Topology held at Harvard University, May 3-5, 1996
sponsored by Lehigh University's Journal of differentical geometry ; edited by C.C. Hsiung, S.-T. Yau
出版情報: Boston : International Press, c1998  339 p., 1 leaf of plates ; 24 cm
シリーズ名: Surveys in differential geometry : supplement to the Journal of differential geometry ; v. 3
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