TY  - DATA
AU  - Remmert, Reinhold.
TI  - Theory of Complex Functions
SN  - 9781461209393
U1  - 515 23
PY  - 1991///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Mathematical analysis
KW  - Analysis
N1  - Historical 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
UR  - https://doi.org/10.1007/978-1-4612-0939-3
ER  -