I bought this book for an indepen...dent study I was doing with a professor. It turned out to be the primary text we used, and it has a unique and very helpful way of making a challenging topic (Complex Analysis) much easier to explain (pictorially). If you learn from pictures, this book is for you. It's a bit dense (all books in this field are), but it contains both the fundamental results in Complex Analysis, as well as connections to physics and to non-Euclidean geometry (through the Erlangen Programme). The best thing about this book is the Amplitwist concept for explaining derivatives. It's unique to Needham, but makes all the difference in understanding what's really happening. He also has a section devoted to finding a good picture for integration, which is another unique feature. If you are new to this field and learn best from images, this book is for you.