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140122 ||| eng |
020 |
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|a 9781461209393
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100 |
1 |
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|a Remmert, Reinhold
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245 |
0 |
0 |
|a Theory of Complex Functions
|h Elektronische Ressource
|c by Reinhold Remmert
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250 |
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|a 1st ed. 1991
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260 |
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|a New York, NY
|b Springer New York
|c 1991, 1991
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300 |
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|a XIX, 458 p
|b online resource
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505 |
0 |
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|a 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
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653 |
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|a Mathematical analysis
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653 |
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|a Analysis
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b SBA
|a Springer Book Archives -2004
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490 |
0 |
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|a Readings in Mathematics
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028 |
5 |
0 |
|a 10.1007/978-1-4612-0939-3
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856 |
4 |
0 |
|u https://doi.org/10.1007/978-1-4612-0939-3?nosfx=y
|x Verlag
|3 Volltext
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082 |
0 |
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|a 515
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