Visual complex analysis
Tristan Needham.
Oxford : Clarendon Press ; New York : Oxford University Press, 1998, ©1997.
xxiii, 592 págs. : ilustraciones ; 24 cm.
ISBN: 9780198534464
Incluye referencias bibliográficas (p. [573]-578) e índice.
Reseña: MathSciNet, 98g:30001
Contenido
- 1. Geometry and complex arithmetic
- 2. Complex functions as transformations
- 3. Möbius transformations and inversion
- 4. Differentiation: the amplitwist concept
- 5. Further geometry of differentiation
- 6. Non-Euclidean geometry
- 7. Winding numbers and topology
- 8. Complex integration: Cauchy's theorem
- 9. Cauchy's formula and its applications
- 10. Vector fields: physics and topology
- 11. Vector fields and complex integration
- 12. Flows and harmonic functions.
