Complex Analysis from the Princeton Lectures in Analysis series is rigorous, comprehensive, and well-structured — but also quite difficult and, frankly, rather dry. It’s an excellent reference for serious students of mathematics, yet the style is typical of many math textbooks: formal, dense, and not particularly engaging to read. I appreciate its clarity and completeness, but it can feel more like a challenge than an enjoyable learning experience. Read more

As others have said, the book is very nice to read, the exposition is clear, motivated, and meaningful. It does take quite a bit of work to get through the book, however, the efforts will be rewarded very well with a good solid understanding of complex analysis. Much of the books content is actually contained in the exercises in the back of each chapter, so it is very important to work through the exercises. Many important concepts are developed by the reader, guided by the book, in the exercises. Sometimes preliminaries to matters developed in later chapters are seen in the exercises. If you plan to self study complex analysis then this book will be a very good challenge. This book would also be a good companion book to any complex analysis class(or a very good primary text). Read more

Ottimo prodotto che mantiene quello che promette . Le spiegazioni interne, sono molto utili per conoscere le potenzialità del prodotto .Tempi di arrivo e confezionamento eccellenti. Read more

The authors are great writers, who present the topic in a valuable historical context. Nevertheless, this book moves fast -- all the beautiful results that distinguish the "nice" behavior of complex-differentiable functions from the "ugly" ones of differentiable functions of real variables are proved in the first three chapters. It then quickly goes on to discuss more advanced results relating to Fourier analysis (most notably, the Paley-Wiener theorem) and techniques (e.g., the Phragmen-Lindelof principle), followed by some interesting applications of complex analysis to number theory. For a first undergraduate course in complex analysis for math majors (i.e., a theory course, as opposed to a course primarily concerned with computing contour integrals), coverage of the first four chapters plus a few selected topics (e.g., the Riemann mapping theorem, properties of the Gamma and Zeta functions, etc.) with the harder exercises and easier problems assigned should already make for a fast paced course, despite what the preface of the text claims. A course in real analysis based on Rudin's Principles of Mathematical Analysis should probably be considered a prerequisite. The proofs are written in a way for someone already quite comfortable with rigorous arguments, with the reader expected to be able to supply the routine epsilon-delta manipulations that are left out when the authors feel like they are tedious. As a warning, many of the exercises are rather difficult, while the problems are quite involved and even the easier ones will take even good students many hours (or even days) of thought while the harder ones may be out of reach unless substantial hints are given by the instructor. No problem or exercise is really a "routine" verification or computation. That said, the mathematics is beautiful, and I had the good fortune of taking this course from Prof. Yum-Tong Siu, an expert in the field and an inspiring instructor. This was also my mathematical swansong, since I was taking the course in my senior year, and I was headed to grad school in organic chemistry. The work load was a bit high because of this new text, but the course was rewarding. Read more

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IMPECABLE Read more

It is true that it came fast and the price was fair but it was stated as "like new" and the "dust jacket" was missing. I believe that this was needed to be stated in the description. Indeed the book itself was like new. Read more