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Theory of Complex Functions

By Reinhold Remmert

Product Image: Theory of Complex Functions

Theory of Complex Functions

0 - Default Title
Description
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.
Product details
Edition:
1
Number of Pages:
484
Release Date:
1990-04-30
Publication Date:
1990-04-30
Publisher:
Springer
Languages:
Original: English
ISBN10:
0387971955
ISBN13:
9780387971957
GPSR Manufacturer Reference:
[email protected]
Weight:
887 g
Height:
160 cm
Width:
241 cm
Thickness:
32 cm
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