000 | 02032nam a22002177a 4500 | ||
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999 |
_c51098 _d52645 |
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003 | ISURa | ||
008 | 181105b xxu||||| |||| 00| 0 eng d | ||
020 | _a9788121906395 | ||
041 | _aEnglish | ||
082 |
_a515.9 _bNAR |
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100 |
_aNarayan, Shanthi _967644 |
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245 | _aTheory of functions of a complex variable | ||
260 |
_aNew Delhi _bS. Chand _c2017 |
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300 |
_aXix, 627 p. _bsome col. _c24 cm. |
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500 | _a v. 1. pt. I. Complex numbers. 1. The complex numbers from the algebraic point of view -- 2. The geometry of the complex numbers -- 3. Euclidean, spherical, and non-euclidean geometry -- pt. II. Some results from point set theory and from topology. 1. Convergent sequences of numbers and continuous complex functions -- 2. Curves and regions -- 3. Contour integration -- pt. III. Analytic functions. 1. Foundations of the theory -- 2. The maximum-modulus principle -- 3. The Poisson integral and harmonic functions -- 4. Meromorphic functions -- pt. IV. Analytic functions defined by limiting processes. 1. Continuous convergence -- 2. Normal families of meromorphic functions -- 3. Power series -- 4. Partial-fraction decomposition and the calculus of residues -- pt. V. Special functions. 1. The exponential and trigonometric functions -- 2. The logarithmic function and the general power function -- 3. The Bernoulli numbers and the gamma function -- v. 2. pt. VI. Foundations of geometric function theory. 1. Bounded functions -- 2. Conformal mapping -- 3. The mapping of the boundary -- pt. VII. The triangle functions and Picard's theorem. 1. Functions of several complex variables -- 2. Conformal mapping of circular-arc triangles -- 3. The Schwarz triangle functions and the modular functions -- 4. The essential singularities and Picard's theorems. | ||
650 |
_aFunctions of complex variables. _967645 |
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650 |
_a Flounces (Matematica) View all subjects _967646 |
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650 |
_a Functions dune variable complex. _967647 |
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700 |
_aMittal, P.K. _97879 |
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942 |
_2ddc _cLN |