A little about my background. I have a undergraduate degree in physics which I obtained exactly 20 years back. I also have a undergraduate degree in EE which I obtained about 17 years back. I have worked as a software engineer all my life and currently also pursuing my MBA in Finance. Needless to say that I am a bit rusty in Physics and math but I have always been interested in Physics and recently started reading Physics again after I read (and enjoyed) the theoretical minimum book by Susskind. I started reading The Road to Reality and so far like it very much. In introducing the contour integration on a complex plane, he mentions a few things that I do not understand. 1. In Chapter 7, page 124 he says (citing a definite integral of a real function between a and b) But for a complex plane Question: Why do we have only one path in a real plane but more than one on a complex plane? 2. He says that he will introduce C-R equations in chapter 12 but he then says that the C-R equations tell us that Question: I do not understand this statement Could you help? Please be gentle :) Is there a book on complex analysis (not too thick) that will help me understand Chapter 7 (or later chapters) in Penrose?