Resources for complex analysis, Riemann surfaces and complex mappings

[Shaun Culver]

Could anybody please give advice for the study of complex analysis, Riemann surfaces & complex mappings. These subjects form the content of chapters 7 & 8 of Roger Penrose's "The Road to Reality". Any advice will do: maybe suggestions on books to supplement the learning, or books to further my study once I have grasped the principles, or anything else.

 

[mathwonk]

henri cartan, elementary theory of analytic functions of one and several complex variables.

 

[Shaun Culver]

Thank you for the suggestion...Could somebody suggest a good introduction to Riemann surfaces & complex mappings...

 

[mathwonk]

cartan includes this as well (see pages 188-207). if you want a more thorough, rigorous, high level treatment, try gunning's lectures on riemann surfaces, or the chapter on the topic in griffiths and harris's principles of algebraic geometry.