- Series: Undergraduate Texts in Mathematics
- Hardcover: 328 pages
- Publisher: Springer; 3rd ed. 2010 edition (August 6, 2010)
- Language: English
- ISBN-10: 1441972870
- ISBN-13: 978-1441972873
- Product Dimensions: 6.1 x 0.8 x 9.2 inches
- Shipping Weight: 1.4 pounds (View shipping rates and policies)
- Average Customer Review: 13 customer reviews
- Amazon Best Sellers Rank: #665,359 in Books (See Top 100 in Books)
Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
To get the free app, enter your mobile phone number.
Complex Analysis (Undergraduate Texts in Mathematics) 3rd ed. 2010 Edition
Use the Amazon App to scan ISBNs and compare prices.
All Books, All the Time
Read author interviews, book reviews, editors picks, and more at the Amazon Book Review. Read it now
Frequently bought together
Customers who bought this item also bought
From the reviews of the third edition:“The book of the known mathematicians J. Bak and D. Newman is an excellent introduction into the theory of analytic functions of one complex variable. The book is written on an elementary level and so it supports students in the early stages of their mathematical studies. … The book also contains many illustrations, examples and exercises, which give additional information and explanations.” (Konstantin Malyutin, Zentralblatt MATH, Vol. 1205, 2011)
From the Back Cover
This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Notable additions to "Complex Analysis, Third Edition," include: • The solution of the cubic equation and Newton’s method for approximating the zeroes of any polynomial; • Expanded treatments of the Schwarz reflection principle and of the mapping properties of analytic functions on closed domains; • An introduction to Schwarz-Christoffel transformations and to Dirichlet series; • A streamlined proof of the prime number theorem, and more. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.
Top customer reviews
For what it's worth, I feel like I'm more of an algebraist.
After spending many years feeling inadequate about my complex analysis skills, I bought this book.
I did not feel like I had hope on my side.
I used Chapters 1 - 15, plus additional topics from later chapters.
For chapters that I worked through, I did every darn problem (checking solutions against those that exist in the back of the book).
If you can work through one section (not chapter!) every few days, then you should have a pretty good general feel for the subject.
It's a beautiful book, and a great preparation for Lars Ahlfors' "Complex Analysis" book.
The prose in the book is clear, but at times, as early as chapters 2 and 3, the equations are dense for an undergraduate text, with some steps less than obvious. There is a lack of motivation for the direction of development chosen in chapters 4-6, possibly a little of 2, 7, and 8 as well. Results are proven three or more times in cases of increasing generality. While this makes the theorems easy to follow, the redundancy may be confusing for a student studying the material for the first time. The authors do not provide much of a preview of what is to come, as I think authors of an undergraduate text should (and many, such as Gamelin, do).
This book is so small and compact that I question the authors' judgment in leaving out these various explanations--little would be lost and much gained by additional explanations. This makes me wonder what the intended audience is. I think anyone who is able to follow this book without trouble would also have no trouble following a more advanced and comprehensive book. There are a number of more advanced books that are actually much easier to follow. This brings me to my next comment:
This book leaves out a lot of important topics; it is far from comprehensive. There are not very many exercises either, and the exercises are mostly related to the material in simple ways.
For those studying complex analysis for the first time, I would recommend the Gamelin book over this one; its proofs are much easier to follow, it contains much more explanatory prose. It moves slower but it is much more comprehensive and covers more advanced material, and it is better suited to students with diverse interests and different backgrounds. I also recommend the Churchhill text as a straightforward book covering the basics. Advanced students might want to use the classic Ahlfors text.