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Complex Variables and Applications, by James Ward Brown, Ruel V. Churchill
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"Complex Variables and Applications, 8E" will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.
- Sales Rank: #724443 in Books
- Published on: 2003-06-01
- Original language: English
- Number of items: 1
- Dimensions: 8.90" h x .71" w x 5.87" l, .0 pounds
- Binding: Paperback
- 480 pages
Most helpful customer reviews
18 of 21 people found the following review helpful.
Great text, great problems, great all around book
By David
This text is for use in an undergrad course or an early grad course. It is written very clearly and has LOTS of problems. These authors' problems fit along perfectly with the text; the examples lead to the early problems and the earlier problems lead smoothly to the more advanced problems. I am very pleased with this text and its clear setup, and I have been using it for self-study. I hardly miss the teacher!
18 of 24 people found the following review helpful.
Better for Engineering, Physics, and others in the Applied areas, than for pure mathematics students
By Michael C. Wilson
This is a nice book for understanding the basic concepts of early Complex Analysis. The integral formulas, residue theorems, Fourier Analysis, infinite series/sequences, etc. are all covered. There are plenty of exercises and examples. Everything is so clearly presented, that it is easy for people with very little background in analysis to read (ie, you don't really need real analysis before reading this book).
My problems with the book are thus: There are very, very few proofs to any of the theorems. I'd rather have more proofs than examples. The problems are almost all computational. Almost none of the exercises require much thought, although some of them will take a while to do. There is no discussion on the importance of certain topics to the wider context of math. No discussion of certain standard complex-valued functions like elliptic functions, zeta functions, or gamma functions.
If anything, I see this as mostly a how-to book for engineers and physicists who come across complex variables in their work. For math students, I'd recommend the books by Shakarchi/Stein, Lang, Conway, Ahlfors.
8 of 13 people found the following review helpful.
If you like a well written, applied, operational kind book.
By Flavio Cipparrone
If you like mathematics but prefer an operational approach instead of the abstract approach, you will like this book.
An ideal complement to Calculus books (like Piskunov, Thomas Jr., etc.) that do not emphasize Complex Variables.
Clear explanations. Many examples. Relatively fast to read, that is, you will not stop the reading trying to demonstrate those boring "easy to show statements".
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