This text acts as an introduction to complex analysis for students with a basic knowledge of complex numbers. Topics covered include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces.[...]
The formation of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics represent one of the most important developments in 20th-century mathematics. This text takes a unique introductory approach to the subject, leadin[...]