000			01527nam a2200145Ia 4500
999			_c179919 _d179919
020			_a978818505378
040			_cCUS
082			_a515.93 _bCON/F
100			_aConway, John B. _918702
245		0	_aFuntions of one complex variable/ _cJohn B.Conway
260			_aNew Delhi: _bNarosa publishing house, _c1973.
300			_a316p.
505			_a 1. The Complex Number System §1. The real numbers §2. The field of-complex numbers . . . . . §3. The complex plane §4. Polar representation and roots of complex numbers §5. Lines and half planes in the complex plane §6. The extended plane and its spherical representation II. Metric Spaces and the Topology of C §1. Definition and examples of metric spaces §2. Connectedness §3. Sequences and completeness §4. Compactness §5. Continuity . . §6. Uniform convergence III. Elementary Properties and Examples of Analytic Functions §1. Power series . . . • • • • * §2. Analytic functions §3. Analytic functions as rhappings, Mobius transformations . IV. Complex Integration §1. Riemann-Stieltjes integrals . * §2. Power series representation of analytic functions §3. Zeros of an analytic function .... §4. The index of a closed curve .... §5. Cauchy*s Theorem and Integral Formula . §6. The homotopic version of Cauchy's Theorem and simple connectivity . • §7. Counting zeros; the Open Mapping Theorem §8. Goursat's Theorem . . *' • V. Singularities §1. Classification of singularities §2. Residues §3. The Argument Principle .
942			_cWB16 _01