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1.

図書
図書
1. Complex algebraic curves (: hard ; : pbk)
Frances Kirwan
出版情報: Cambridge : Cambridge University Press, 1992  viii, 264 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 23
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Introduction and background / 1：
A brief history of algebraic curves / 1.1：
Relationship with other parts of mathematics / 1.2：
Number theory / 1.2.1：
Singularities and the theory of knots / 1.2.2：
Complex analysis / 1.2.3：
Abelian integrals / 1.2.4：
Real Algebraic Curves / 1.3：
Hilbert's Nullstellensatz / 1.3.1：
Techniques for drawing real algebraic curves / 1.3.2：
Real algebraic curves inside complex algebraic curves / 1.3.3：
Important examples of real algebraic curves / 1.3.4：
Foundations / 2：
Complex algebraic curves in C[superscript 2] / 2.1：
Complex projective spaces / 2.2：
Complex projective curves in P[subscript 2] / 2.3：
Affine and projective curves / 2.4：
Exercises / 2.5：
Algebraic properties / 3：
Bezout's theorem / 3.1：
Points of inflection and cubic curves / 3.2：
Topological properties / 3.3：
The degree-genus formula / 4.1：
The first method of proof / 4.1.1：
The second method of proof / 4.1.2：
Branched covers of P[subscript 1] / 4.2：
Proof of the degree-genus formula / 4.3：
Riemann surfaces / 4.4：
The Weierstrass [weierp]-function / 5.1：
Differentials on Riemann surfaces / 5.2：
Holomorphic differentials / 6.1：
Abel's theorem / 6.2：
The Riemann-Roch theorem / 6.3：
Singular curves / 6.4：
Resolution of singularities / 7.1：
Newton polygons and Puiseux expansions / 7.2：
The topology of singular curves / 7.3：
Algebra / 7.4：
Topology / B：
Covering projections / C.1：
The genus is a topological invariant / C.2：
Spheres with handles / C.3：
Introduction and background / 1：
A brief history of algebraic curves / 1.1：
Relationship with other parts of mathematics / 1.2：
2.

図書
図書
2. Fuchsian groups (: cloth ; : paper)
Svetlana Katok
出版情報: Chicago : University of Chicago Press, c1992  x, 175 p. ; 21 cm
シリーズ名: Chicago lectures in mathematics
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Preface
Hyperbolic geometry / 1：
The hyperbolic metric / 1.1：
Geodesics / 1.2：
Isometrics / 1.3：
Hyperbolic area and the Gauss-Bonnet formula / 1.4：
Hyperbolic trigonometry / 1.5：
Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 / 1.6：
Fuchsian groups
The group PSL(2,R) / 2.1：
Discrete and properly discontinuous groups / 2.2：
Algebraic properties of Fuchsian groups / 2.3：
Elementary groups Exercises for Chapter 2 / 2.4：
Fundamental regions
Definition of a fundamental region / 3.1：
The Dirichlet region / 3.2：
Isometric circles and the Ford fundamental region / 3.3：
The limit set of [ ]3.5. Structure of a Dirichlet region / 3.4：
Connection with Riemann surfaces and homogeneous spaces Exercises for Chapter 3 / 3.6：
Geometry of Fuchsian groups
Geometrically finite Fuchsian groups / 4.1：
Cocompact Fuchsian groups / 4.2：
The signature of a Fuchsian group / 4.3：
Fuchsian groups generated by reflections / 4.4：
Fuchsian groups of the first kind / 4.5：
Finitely generated Fuchsian groups Exercises for Chapter 4 / 4.6：
Arithmetic Fuchsian groups
Definitions of arithmetic Fuchsian groups / 5.1：
Fuchsian groups derived from quaternion algebras / 5.2：
Criteria for arithmeticity / 5.3：
Compactness of [ ] for Fuchsian groups derived from division quaternion algebras / 5.4：
The modular group and its subgroups / 5.5：
Examples Exercises for Chapter 5 Hints for Selected Exercises / 5.6：
Bibliography
Index
Preface
Hyperbolic geometry / 1：
The hyperbolic metric / 1.1：
3.

図書
図書
3. Real function algebras
S.H. Kulkarni, B.V. Limaye
出版情報: New York : Dekker, c1992  viii, 186 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 168
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目次情報: 続きを見る
Preface
Introduction / 1.：
Elements of Real Banach Algebras / 1.1：
Commutative Real Banach Algebras / 1.2：
Real Function Algebras / 1.3：
Deformations of a Real Function Algebra / 1.4：
When Does a Real Function Algebra Equal C(X, [tau])? / 2.：
Analog of Bishop-Machado Theorem / 2.1：
Antisymmetric Sets and Peak Sets / 2.2：
Hoffman-Wermer Theorem and Its Analog / 2.3：
Analog of Wermer's Theorem / 2.4：
Functions that Operate in Re A / 2.5：
Gleason Parts of a Real Function Algebra / 3.：
Analytic and Harmonic Structure / 3.1：
Characterizations of Gleason Parts / 3.2：
Parts of the Complexification / 3.3：
Topological Characterization of Gleason Parts / 3.4：
Parts, Analyticity, and Harmonicity / 3.5：
Boundaries for a Real Function Algebra / 4.：
Choquet Sets for Subspaces of C(X, [tau]) / 4.1：
Boundaries for Subspaces of C(X, [tau]) / 4.2：
Choquet Sets and Boundaries for Complex Subspaces of C(X) / 4.3：
Isometries of Real Function Algebras / 5.：
Unit-Preserving Isometries / 5.1：
Arbitrary Isometries / 5.2：
Symbols
References
Index
Preface
Introduction / 1.：
Elements of Real Banach Algebras / 1.1：
4.

図書
図書
4. Lectures on mechanics
Jerrold E. Marsden
出版情報: Cambridge : Cambridge University Press, 1992  xi, 254 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 174
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Preface
Introduction / 1：
The Classical Water Molecule and the Ozone Molecule / 1.1：
Hamiltonian Formulation / 1.2：
Geometry, Symmetry, and Reduction / 1.3：
Stability / 1.4：
Geometric Phases / 1.5：
The Rotation Group and the Poincare Sphere / 1.6：
A Crash Course in Geometric Mechanics / 2：
Symplectic and Poisson Manifolds / 2.1：
The Flow of a Hamiltonian Vector Field / 2.2：
Cotangent Bundles / 2.3：
Lagrangian Mechanics / 2.4：
Lie-Poisson Structures / 2.5：
The Rigid Body / 2.6：
Momentum Maps / 2.7：
Reduction / 2.8：
Singularities and Symmetry / 2.9：
A Particle in a Magnetic Field / 2.10：
Cotangent Bundle Reduction / 3：
Mechanical G-systems / 3.1：
The Classical Water Molecule / 3.2：
The Mechanical Connection / 3.3：
The Geometry and Dynamics of Cotangent Bundle Reduction / 3.4：
Examples / 3.5：
Lagrangian Reduction / 3.6：
Coupling to a Lie group / 3.7：
Relative Equilibria / 4：
Relative Equilibria on Symplectic Manifolds / 4.1：
Cotangent Relative Equilibria / 4.2：
The Energy-Momentum Method / 4.3：
The General Technique / 5.1：
Example: The Rigid Body / 5.2：
Block Diagonalization / 5.3：
The Normal Form for the Symplectic Structure / 5.4：
Stability of Relative Equilibria for the Double Spherical Pendulum / 5.5：
A Simple Example / 6：
Reconstruction / 6.2：
Cotangent Bundle Phases--a Special Case / 6.3：
Cotangent Bundles--General Case / 6.4：
Rigid Body Phases / 6.5：
Moving Systems / 6.6：
The Bead on the Rotating Hoop / 6.7：
Stabilization and Control / 7：
The Rigid Body with Internal Rotors / 7.1：
The Hamiltonian Structure with Feedback Controls / 7.2：
Feedback Stabilization of a Rigid Body with a Single Rotor / 7.3：
Phase Shifts / 7.4：
The Kaluza-Klein Description of Charged Particles / 7.5：
Optimal Control and Yang-Mills Particles / 7.6：
Discrete reduction / 8：
Fixed Point Sets and Discrete Reduction / 8.1：
Sub-Block Diagonalization with Discrete Symmetry / 8.2：
Discrete Reduction of Dual Pairs / 8.5：
Mechanical Integrators / 9：
Definitions and Examples / 9.1：
Limitations on Mechanical Integrators / 9.2：
Symplectic Integrators and Generating Functions / 9.3：
Symmetric Symplectic Algorithms Conserve J / 9.4：
Energy-Momentum Algorithms / 9.5：
The Lie-Poisson Hamilton-Jacobi Equation / 9.6：
Example: The Free Rigid Body / 9.7：
Variational Considerations / 9.8：
Hamiltonian Bifurcation / 10：
Some Introductory Examples / 10.1：
The Role of Symmetry / 10.2：
The One to One Resonance and Dual Pairs / 10.3：
Bifurcations in the Double Spherical Pendulum / 10.4：
Continuous Symmetry Groups and Solution Space Singularities / 10.5：
The Poincare-Melnikov Method / 10.6：
The Role of Dissipation / 10.7：
References
Index
Preface
Introduction / 1：
The Classical Water Molecule and the Ozone Molecule / 1.1：
5.

雑誌
雑誌
5. Séminaire de théorie des nombres de Bordeaux. Série 2
Centre de recherche en mathématiques de Bordeaux ; Université de Bordeaux I ; Centre national de la recherche scientifique (France) ; Conseil régional d'Aquitaine
出版情報: Talence : Centre de recherche en mathématiques de Bordeaux, 1989-[1992]  4 v. ; 26 cm
巻次年月次: Vol. 1, fasc. 1 (1989)-v. 4, fasc. 2 (1992)
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6.

図書
図書
6. Physics in (2+1)-dimension : proceedings of second Winter School on Mathematical Physics, 22-26 February 1991, Sorak Mountain Resort, Korea
edited by Y. M. Cho
出版情報: Singapore : World Scientific, c1992  viii, 357 p. ; 23 cm
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7.

図書
図書
7. Analisi complessa (t. 1 ; t. 2)
Aldo Andreotti
出版情報: Pisa : Scucla Normale Superiore, 1992-  2 v. ; 24 cm
シリーズ名: Pubblicazioni della Classe di scienze / Scuola Normale Superiore ; . Selecta : di opere di Aldo Andreotti ; tomo 1-2
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8.

図書
図書
8. Boundary control and boundary variation : proceedings of IFIP WG 7.2 Conference, Sophia Antipolis, France, October 15-17, 1990 (: gw ; : us)
J.P. Zolésio (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  viii, 392 p. ; 25 cm
シリーズ名: Lecture notes in control and information sciences ; 178
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9.

図書
図書
9. Complex algebraic varieties : proceedings of a conference held in Bayreuth, Germany, April 2-6, 1990 (: gw ; : us)
K. Hulek ... [et al.] (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  178 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 1507
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10.

図書
図書
10. Non-abelian harmonic analysis : applications of SL (2,R) (: us ; : gw)
Roger Howe, Eng Chye Tan
出版情報: New York ; Berlin : Springer-Verlag, c1992  xv, 257 p. ; 24 cm
シリーズ名: Universitext
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