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1.

図書

図書
by Einar Hille
出版情報: New York : Chelsea Pub. Co., 1973  2 v. ; 24 cm
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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
Einar Hille
出版情報: Reading, Mass. : Addison-Wesley, c1969  xi, 723 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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3.

図書

図書
Einar Hille
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, [1972]  ix, 486 p ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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4.

図書

図書
Einar, Hille
出版情報: New York : Blaisdell Pub., 1959-c1962  2 v. ; 24 cm
シリーズ名: Introductions to higher mathematics
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5.

図書

図書
by Einar Hille
出版情報: New York ; Toronto ; London : Blaisdell Pub. Co., 1964-1966  2 v. ; 24 cm
シリーズ名: A Blaisdell book in the pure and applied sciences
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6.

図書

図書
Einar Hille
出版情報: New York : Wiley, c1976  xi, 484 p. ; 23 cm
シリーズ名: Pure and applied mathematics
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7.

図書

図書
by Einar Hille and Ralph S. Phillips
出版情報: Providence : American Mathematical Society, 1957  xii, 808 p. ; 26 cm
シリーズ名: Colloquium publications / American Mathematical Society ; Vol. 31
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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
Salas, Saturnino L. ; Hille, Einar, 1894-1980 ; Etgen, Garret J., 1937-
出版情報: Hoboken, N.J. : Wiley, c2007  xxi, 1039, 89, 11 p ; 28cm
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目次情報: 続きを見る
Limits and Continuity
Differentiation
The Mean-Value Theorem and Applications
Integration
Applications of the Integral
The Transcendental Functions
Techniques of Integration
The Conic Sections
Polar Coordinates
Parametric Equations
Sequences
Indeterminate Forms
Improper Integrals
Infinite Series
Vectors
Vector Calculus
Functions of Several Variables
Gradients
Extreme Values
Differentials
Double and Triple Integrals
Line Integrals and Surface Integrals
Elementary Differential Equations
Appendices
Answers to Odd-Numbered Exercises
Index
Table of Integrals
Limits and Continuity
Differentiation
The Mean-Value Theorem and Applications
10.

図書

図書
S.L. Salas, Einar Hille
出版情報: New York : Wiley, c1978  2 v. ; 26 cm
所蔵情報: loading…
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