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AuthorRemmert, Reinhold. author
TitleTheory of Complex Functions [electronic resource] / by Reinhold Remmert
ImprintNew York, NY : Springer New York : Imprint: Springer, 1991
Connect tohttp://dx.doi.org/10.1007/978-1-4612-0939-3
Descript XIX, 458 p. online resource

CONTENT

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 Riemannโ{128}{153}s gravestone -- Literature -- Classical Literature on Function Theory โ{128}{148} Textbooks on Function Theory โ{128}{148} Literature on the History of Function Theory and of Mathematics Symbol Index -- Name Index -- Portraits of famous mathematicians 3


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