Top critical review
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Leaves much to be desired
on 7 April 2012
From what I can tell, in an effort to save space or something, the author has omitted more or less half of the steps of proofs and instead chooses to list off a bunch of relevant theorems that one would use in order to justify a step without explaining how they fit together. As a result, it was often unclear how the author gets from one step to the next, and I had to spend time on many of the proofs redoing the proof myself on paper in order for the steps to feel like they had logical flow.
The layout of the text is much too dense, as many equations that should be given their own line are stuffed into the text, with no adjustment for size. In addition, the author has some strange obsession with using negative exponents rather than inserting fractions, possibly as another attempt to save space, which unfortunately renders the equations looking unnaturally long.
Examples are sparse, and rarely illustrated, making a subject that is already tricky to visualize even less visualizable. The exercises vary wildly in difficulty, mainly either being incredibly easy plug-and-chug problems, or incredibly complicated proofs that require multiple pages of justifications. There are also no solutions, hints, or answers to any of the problems. Also, despite being the second edition, there are still plenty of typos in this book.
Overall, this is not a particularly good book if you are a beginner to complex analysis, or trying to teach yourself. It makes a nice reference book or review guide, in that it is extremely concise, and so it is relatively easy to go through and refresh your memory on theorems covered in class.