000			01816nmm a22002055i 4500
005			20230705150625.0
008			121227s1991 xxu| s |||| 0|eng d
020			_a9781461209393 _9978-1-4612-0939-3
082			_a515 _223
100			_aRemmert, Reinhold. _919792
245			_aTheory of Complex Functions _h[electronic resource] / _cby Reinhold Remmert.
250			_a1st ed. 1991.
260			_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c1991.
300			_aXIX, 458 p. _bonline resource.
505			_aHistorical Introduction -- Chronological Table -- A. Elements of Function Theory -- 0. Complex Numbers and Continuous Functions -- 1. Complex-Differential Calculus -- 2. Holomorphy and Conformality. Biholomorphic Mappings.. -- 3. Modes of Convergence in Function Theory -- 4. Power Series -- 5. Elementary Transcendental Functions -- B. The Cauchy Theory -- 6. Complex Integral Calculus -- 7. The Integral Theorem, Integral Formula and Power Series Development -- C. Cauchy-Weierstrass-Riemann Function Theory -- 8. Fundamental Theorems about Holomorphic Functions -- 9. Miscellany -- 10. Isolated Singularities. Meromorphic Functions -- 11. Convergent Series of Meromorphic Functions -- 12. Laurent Series and Fourier Series -- 13. The Residue Calculus -- 14. Definite Integrals and the Residue Calculus -- Short Biographies o/Abel, Cauchy, Eisenstein, Euler, Riemann and Weierstrass -- Photograph of Riemann's gravestone -- Literature -- Classical Literature on Function Theory - Textbooks on Function Theory - Literature on the History of Function Theory and of Mathematics Symbol Index -- Name Index -- Portraits of famous mathematicians 3.
650			_aMathematical analysis. _919793
650			_aAnalysis. _919794
856			_uhttps://doi.org/10.1007/978-1-4612-0939-3
942			_cEBK
999			_c13567 _d13567