- Hardcover: 400 pages
- Publisher: Princeton University Press (April 27, 2003)
- Language: English
- ISBN-10: 0691113858
- ISBN-13: 978-0691113852
- Product Dimensions: 6.5 x 1.2 x 9.5 inches
- Shipping Weight: 1.6 pounds (View shipping rates and policies)
- Average Customer Review: 23 customer reviews
- Amazon Best Sellers Rank: #306,843 in Books (See Top 100 in Books)
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Complex Analysis (Princeton Lectures in Analysis, No. 2)
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For a first undergraduate course in complex analysis for math majors (i.e., a very theoretically oriented one, not all that concerned with computing contour integrals), coverage of the first four chapters plus a few selected topics 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, the exercises are rather difficult, while the problems are very involved and will take even good students many hours or even days. No problem or exercise is really a "routine" verification or computation.
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).
Innovating manner of introducing some subjects which in some traditional books are treated in a more complicated way.