E-Book, Englisch, Band 122, 458 Seiten, eBook
Remmert Theory of Complex Functions
Erscheinungsjahr 2012
ISBN: 978-1-4612-0939-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 122, 458 Seiten, eBook
Reihe: Graduate Texts in Mathematics
ISBN: 978-1-4612-0939-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Graduate
Weitere Infos & Material
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.
