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1.

図書
図書
1. Riemann surfaces
by Lars V. Ahlfors and Leo Sario
出版情報: Princeton, N.J. : Princeton University Press, c1960  xi, 382 p. ; 24 cm
シリーズ名: Princeton mathematical series ; 26
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2.

図書
図書
2. Collected papers (: set ; v. 1 : sz ; v. 2 : sz)
Lars Valerian Ahlfors ; Rae Michael Shortt, assistant editor
出版情報: Boston ; Basel : Birkhäuser, 1982  2 v. ; 26 cm
シリーズ名: Contemporary mathematicians
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3.

図書
図書
3. Gesammelte Abhandlungen = Collected papers (: gw ; : us)
Oswald Teichmüller ; herausgegeben von L.V. Ahlfors und F.W. Gehring
出版情報: Berlin ; New York : Springer-Verlag, 1982  viii, 751 p. ; 25 cm
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4.

図書
図書
4. Advances in the theory of Riemann surfaces : proceedings of the 1969 Stony Brook Conference
edited by Lars V. Ahlfors ... [et al.]
出版情報: Princeton, N.J. : Princeton University Press , [Tokyo] : University of Tokyo Press, 1971  viii, 420 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 66
Tokyo University international edition ; no. 60
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5.

図書
図書
5. Analytic functions
by R. Nevanlinna ... [et al.]
出版情報: Princeton : Princeton University Press, 1960  vii, 197 p. ; 24 cm
シリーズ名: Princeton mathematical series ; no. 24
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目次情報: 続きを見る
On differentiable mappings / R. Nevanlinna
Analysis in non-compact complex spaces / H. Behnke and H. Grauert
The complex analytic structure of the space of closed Riemann surfaces / L.V. Ahlfors
Some remarks on perturbation of structure / D.C. Spencer
Quasiconformal mappings and Teichmüller's theorem / L. Bers
On compact analytic surfaces / K. Kodaira
The conformal mapping of Riemann surfaces / M. Heins
On certain coefficients of univalent functions / J.A. Jenkins
On differentiable mappings / R. Nevanlinna
Analysis in non-compact complex spaces / H. Behnke and H. Grauert
The complex analytic structure of the space of closed Riemann surfaces / L.V. Ahlfors
6.

図書
図書
6. Complex analysis : an introduction to the theory of analytic functions of one complex variable. 3rd ed
Lars V. Ahlfors
出版情報: New York ; Tokyo : McGraw-Hill, c1979  xiv, 331 p. ; 24 cm
シリーズ名: International series in pure and applied mathematics
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目次情報: 続きを見る
Complex Numbers / Chapter 1：
The Algebra of Complex Numbers / 1：
Arithmetic Operations / 1.1：
Square Roots / 1.2：
Justification / 1.3：
Conjugation, Absolute Value / 1.4：
Inequalities / 1.5：
The Geometric Representation of Complex Numbers / 2：
Geometric Addition and Multiplication / 2.1：
The Binomial Equation / 2.2：
Analytic Geometry / 2.3：
The Spherical Representation / 2.4：
Complex Functions / Chapter 2：
Introduction to the Concept of Analytic Function
Limits and Continuity
Analytic Functions
Polynomials
Rational Functions
Elementary Theory of Power Series
Sequences
Series
Uniform Coverages
Power Series
Abel's Limit Theorem / 2.5：
The Exponential and Trigonometric Functions / 3：
The Exponential / 3.1：
The Trigonometric Functions / 3.2：
The Periodicity / 3.3：
The Logarithm / 3.4：
Analytic Functions as Mappings / Chapter 3：
Elementary Point Set Topology
Sets and Elements
Metric Spaces
Connectedness
Compactness
Continuous Functions
Topological Spaces / 1.6：
Conformality
Arcs and Closed Curves
Analytic Functions in Regions
Conformal Mapping
Length and Area
Linear Transformations
The Linear Group
The Cross Ratio
Symmetry
Oriented Circles
Families of Circles / 3.5：
Elementary Conformal Mappings / 4：
The Use of Level Curves / 4.1：
A Survey of Elementary Mappings / 4.2：
Elementary Riemann Surfaces / 4.3：
Complex Integration / Chapter 4：
Fundamental Theorems
Line Integrals
Rectifiable Arcs
Line Integrals as Functions of Arcs
Cauchy's Theorem for a Rectangle
Cauchy's Theorem in a Disk
Cauchy's Integral Formula
The Index of a Point with Respect to a Closed Curve
The Integral Formula
Higher Derivatives
Local Properties of Analytical Functions
Removable Singularities. Taylor's Theorem
Zeros and Poles
The Local Mapping
The Maximum Principle
The General Form of Cauchy's Theorem
Chains and Cycles
Simple Connectivity
Homology
The General Statement of Cauchy's Theorem / 4.4：
Proof of Cauchy's Theorem / 4.5：
Locally Exact Differentials / 4.6：
Multiply Connected Regions / 4.7：
The Calculus of Residues / 5：
The Residue Theorem / 5.1：
The Argument Principle / 5.2：
Evaluation of Definite Integrals / 5.3：
Harmonic Functions / 6：
Definition and Basic Properties / 6.1：
The Mean-value Property / 6.2：
Poisson's Formula / 6.3：
Schwarz's Theorem / 6.4：
The Reflection Principle / 6.5：
Series and Product Developments / Chapter 5：
Power Series Expansions
Wierstrass's Theorem
The Taylor Series
The Laurent Series
Partial Fractions and Factorization
Partial Fractions
Infinite Products
Canonical Products
The Gamma Function
Stirling's Formula
Entire Functions
Jensen's Formula
Hadamard's Theorem
The Riemann Zeta Function
The Product Development
Extension of (s) to the Whole Plane
The Functional Equation
The Zeros of the Zeta Function
Normal Families
Equicontinuity
Normality and Compactness
Arzela's Theorem
Families of Analytic Functions / 5.4：
The Classical Definition / 5.5：
Conformal Mapping, Dirichlet's Problem / Chapter 6：
The Riemann Mapping Theorem
Statement and Proof
Boundary Behavior
Use of the Reflection Principle
Analytic Arcs
Conformal Mapping of Polygons
The Behavior at an Angle
The Schwarz-Christoffel Formula
Mapping on a Rectangle
The Triangle Functions of Schwarz
A Closer Look at Harmonic Functions
Functions with Mean-value Property
Harnack's Principle
The Dirichlet Problem
Subharmonic Functions
Solution of Dirichlet's Problem
Canonical Mappings of Multiply Connected Regions
Harmonic Measu
Complex Numbers / Chapter 1：
The Algebra of Complex Numbers / 1：
Arithmetic Operations / 1.1：
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