- Series: Jones and Bartlett Publishers Series in Mathematics: Complex
- Hardcover: 405 pages
- Publisher: Jones & Bartlett Learning; 2 edition (December 31, 2008)
- Language: English
- ISBN-10: 0763757721
- ISBN-13: 978-0763757724
- Product Dimensions: 10.9 x 8.5 x 1.1 inches
- Shipping Weight: 2.8 pounds
- Average Customer Review: 4.8 out of 5 stars See all reviews (13 customer reviews)
- Amazon Best Sellers Rank: #1,064,294 in Books (See Top 100 in Books)
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A First Course in Complex Analysis with Applications (Jones and Bartlett Publishers Series in Mathematics: Complex) 2nd Edition
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Top Customer Reviews
This book gives very clear introductions and explanations of complex variable concepts and served as a boon for my first complex variable course; I went through many other books but they all seemed to be much more abstract that this one. If you're new to the world of complex variables and have trouble reading existing books, this book may very well be your life saver.
Another reference: Search for "Complex Analysis Modules by Mathews") on google. This served as a great online reference and has a corresponding book: COMPLEX ANALYSIS: for Mathematics and Engineering by John H. Mathews and Russell W. Howell. Although I did not read this book, the author has put up wonderful online notes which I did use.
That being said, I've struggled greatly to find a text that was self contained. I own a large number, both pitched to math majors and engineers. I have Needham, Silverman, Ablowitz and Fokas, Saff and Snyder, Palka, D'Angelo, Bak and Newman, and now Zill and Shanahan.
Not all of the these texts are terrible, but Zill and Shanahan is the most self-contained and learning from this is most expedient. It is the only book I've seen that is structured like one of the now commonplace textbooks in the calculus sequence e.g. the Stewart series. For a subject like Complex analysis I think this structure is very appropriate as an introduction. The next closest text in coherency is the Ablowitz and Fokas. Both have greatly enhanced my understanding. Sometimes I supplement the former with problems from the latter, which tend to be a bit more challenging.
For a student with little experience with complex numbers/analysis, I don't think there is a better substitute for a first course. This is the safest bet.
Incidentally, this is perfectly suitable for math majors. It's rigorous enough and the problems are pitched in a range of difficulty. Shouldn't be deprecated because it has "applications" in the title.