close
1.

図書

図書
by Einar Hille
出版情報: New York : Chelsea Pub. Co., 1973  2 v. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Number systems / 1:
The real number system / 1.1:
Further properties of real numbers / 1.2:
The complex number system 2. The complex plane / 1.3:
Geometry of complex numbers / 2.1:
Curves and regions in the complex plane / 2.2:
Regions and convexity / 2.3:
Paths / 2.4:
The extended plane; stereographic projection 3. Fractions, powers, and roots / 2.5:
Fractional linear transformations / 3.1:
Properties of Mobius transformations / 3.2:
Powers / 3.3:
Roots / 3.4:
The function $(z^2 +1)/(2z)$ 4. Holomorphic functions / 3.5:
Complex-valued functions and continuity / 4.1:
Differentiability; holomorphic functions / 4.2:
The Cauchy-Riemann equations / 4.3:
Laplace's equation / 4.4:
The inverse function / 4.5:
Conformal mapping / 4.6:
Function spaces 5. Power series / 4.7:
Infinite series / 5.1:
Operations on series / 5.2:
Double series / 5.3:
Convergence of power series / 5.4:
Power series as holomorphic functions / 5.5:
Taylor's series / 5.6:
Singularities; noncontinuable power series 6. Some elementary functions / 5.7:
The exponential function / 6.1:
The logarithm / 6.2:
Arbitrary powers; the binomial series / 6.3:
The trigonometric functions / 6.4:
Inverse trigonometric functions 7. Complex integration / 6.5:
Integration in the complex plane / 7.1:
Cauchy's theorem / 7.2:
Extensions / 7.3:
Cauchy's integral / 7.4:
Cauchy's formulas for the derivatives / 7.5:
Integrals of the Cauchy type / 7.6:
Analytic continuation: Schwarz's reflection principle / 7.7:
The theorem of Morera / 7.8:
The maximum principle / 7.9:
Uniformly convergent sequences of holomorphic functions 8. Representation theorems / 7.10:
The maximum modulus / 8.1:
The Laurent expansion / 8.3:
Isolated singularities / 8.4:
Meromorphic functions / 8.5:
Infinite products / 8.6:
Entire functions / 8.7:
The Gamma function 9. The calculus of residues / 8.8:
The residue theorem / 9.1:
The principle of the argument / 9.2:
Summation and expansion theorems / 9.3:
Inverse functions / 9.4:
Some properties of point sets / Appendix A:
Some properties of polygons / Appendix B:
On the theory of integration / Appendix C:
Bibliography
Index
Number systems / 1:
The real number system / 1.1:
Further properties of real numbers / 1.2:
2.

図書

図書
Peter Henrici
出版情報: New York : Wiley, c1986  xiii, 637 p. ; 24 cm
シリーズ名: Pure and applied mathematics : a Wiley-Interscience series of texts, monographs, and tracts ; . Applied and computational complex analysis / Peter Henrici ; Vol. 3
所蔵情報: loading…
目次情報: 続きを見る
Discrete Fourier Analysis
Cauchy Integrals
Potential Theory in the Plane
Construction of Conformal Maps: Simply Connected Regions
Construction of Conformal Maps for Multiply Connected Regions
Polynomial Expansions and Conformal Maps
Univalent Functions
Bibliography
Index
Discrete Fourier Analysis
Cauchy Integrals
Potential Theory in the Plane
3.

図書

図書
Chung-Chun Yang and Chi-tai Chuang, editors
出版情報: Providence, R.I. : American Mathematical Society, c1985  x, 254 p. ; 25 cm
シリーズ名: Contemporary mathematics ; v. 48
所蔵情報: loading…
目次情報: 続きを見る
On the inversion of a linear differential polynomial / C.-T. Chuang
Distribution of the values of meromorphic functions / L. Yang
A simple proof of a theorem of Fatou on the iteration and fix-points of transcendental entire functions
Algebroid functions and their applications to ordinary differential equations / Y.-Z. He
Summary of recent research accomplishments in value distribution theory at East China Normal University / R.-F. Lee ; C.-J. Dai ; G.-D. Song
Univalent functions / S.-Q. Liu
Quasiconformal mappings / C.-Q. He ; Z. Li
Riemann surfaces / M.-Y. Zhang
Approximation and interpolation in the complex domain / X.-C. Shen
Dirichlet series / C.-Y. Yu
Application of complex analysis to nonlinear elliptic systems of partial differential equations / G.-C. Wen
Riemann zeta-function / N.-Y. Zhang ; S.-Y. Zhang
Application of the theory of functions of a complex variable to celestial mechanics / Z.-H. Yi
Complex variable methods in elasticity / J.-K. Ju
On the inversion of a linear differential polynomial / C.-T. Chuang
Distribution of the values of meromorphic functions / L. Yang
A simple proof of a theorem of Fatou on the iteration and fix-points of transcendental entire functions
4.

図書

図書
Chi-Tai Chuang, Chung-Chun Yang
出版情報: Singapore : World Scientific, c1990  viii, 227 p. ; 23 cm
所蔵情報: loading…
5.

図書

図書
edited by B. Gyires
出版情報: Amsterdam ; New York : North-Holland Pub. Co. : J. Bolyai Mathematical Society, c1980  379 p. ; 25 cm
シリーズ名: Colloquia Mathematica Societatis János Bolyai ; 21
所蔵情報: loading…
6.

図書

図書
田村二郎著
出版情報: 東京 : 裳華房, 1962  ix, 225p ; 22cm
シリーズ名: 数学選書 ; 3
所蔵情報: loading…
7.

図書

図書
吉永悦男, 福井敏純, 泉脩蔵著
出版情報: 東京 : 共立出版, 2002.3  xiii, 426p ; 22cm
シリーズ名: 特異点の数理 / 福田拓生, 泉屋周一, 石川剛郎編 ; 3
所蔵情報: loading…
目次情報:
第I部: 特異点とニュートン図形 / 吉永悦男, 福井敏純著
第II部: 特異点と解析的局所環 / 泉脩蔵著
第I部: 特異点とニュートン図形 / 吉永悦男, 福井敏純著
第II部: 特異点と解析的局所環 / 泉脩蔵著
8.

図書

図書
by Einar Hille
出版情報: New York : Chelsea Pub. Co., 1977-1982  2 v. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Number systems / 1:
The real number system / 1.1:
Further properties of real numbers / 1.2:
The complex number system 2. The complex plane / 1.3:
Geometry of complex numbers / 2.1:
Curves and regions in the complex plane / 2.2:
Regions and convexity / 2.3:
Paths / 2.4:
The extended plane; stereographic projection 3. Fractions, powers, and roots / 2.5:
Fractional linear transformations / 3.1:
Properties of Mobius transformations / 3.2:
Powers / 3.3:
Roots / 3.4:
The function $(z^2 +1)/(2z)$ 4. Holomorphic functions / 3.5:
Complex-valued functions and continuity / 4.1:
Differentiability; holomorphic functions / 4.2:
The Cauchy-Riemann equations / 4.3:
Laplace's equation / 4.4:
The inverse function / 4.5:
Conformal mapping / 4.6:
Function spaces 5. Power series / 4.7:
Infinite series / 5.1:
Operations on series / 5.2:
Double series / 5.3:
Convergence of power series / 5.4:
Power series as holomorphic functions / 5.5:
Taylor's series / 5.6:
Singularities; noncontinuable power series 6. Some elementary functions / 5.7:
The exponential function / 6.1:
The logarithm / 6.2:
Arbitrary powers; the binomial series / 6.3:
The trigonometric functions / 6.4:
Inverse trigonometric functions 7. Complex integration / 6.5:
Integration in the complex plane / 7.1:
Cauchy's theorem / 7.2:
Extensions / 7.3:
Cauchy's integral / 7.4:
Cauchy's formulas for the derivatives / 7.5:
Integrals of the Cauchy type / 7.6:
Analytic continuation: Schwarz's reflection principle / 7.7:
The theorem of Morera / 7.8:
The maximum principle / 7.9:
Uniformly convergent sequences of holomorphic functions 8. Representation theorems / 7.10:
The maximum modulus / 8.1:
The Laurent expansion / 8.3:
Isolated singularities / 8.4:
Meromorphic functions / 8.5:
Infinite products / 8.6:
Entire functions / 8.7:
The Gamma function 9. The calculus of residues / 8.8:
The residue theorem / 9.1:
The principle of the argument / 9.2:
Summation and expansion theorems / 9.3:
Inverse functions / 9.4:
Some properties of point sets / Appendix A:
Some properties of polygons / Appendix B:
On the theory of integration / Appendix C:
Bibliography
Index
Number systems / 1:
The real number system / 1.1:
Further properties of real numbers / 1.2:
9.

図書

図書
田村二郎著
出版情報: 東京 : 裳華房, 1983.11  viii, 309p ; 22cm
シリーズ名: 数学選書 ; 3
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