Introductory Complex Analysis (Dover Books on Mathematics) [Paperback]

Richard A. Silverman (Author), Mathematics (Author)

Book Description

Publication Date: May 1, 1984 | ISBN-10: 0486646866 | ISBN-13: 978-0486646862

A shorter version of A. I. Markushevich's masterly three-volume Theory of Functions of a Complex Variable, this edition is appropriate for advanced undergraduate and graduate courses in complex analysis. Numerous worked-out examples and more than 300 problems, some with hints and answers, make it suitable for independent study. 1967 edition.

Product Details

• Paperback: 400 pages
• Publisher: Dover Publications (May 1, 1984)
• Language: English
• ISBN-10: 0486646866
• ISBN-13: 978-0486646862
• Product Dimensions: 8.4 x 5.4 x 0.8 inches
• Shipping Weight: 6.4 ounces (View shipping rates and policies)
• Average Customer Review: 4.3 out of 5 stars  See all reviews (9 customer reviews)
• Amazon Best Sellers Rank: #385,207 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Most Helpful Customer Reviews

28 of 29 people found the following review helpful:

5.0 out of 5 stars An excellent(and cheap!) text, February 7, 2000

By 

A MATH NERD - See all my reviews

This review is from: Introductory Complex Analysis (Dover Books on Mathematics) (Paperback)

This book might just be the best Dover text out there-which isn't really saying much, considering how many of their books are total stinkers. To me, this is nearly an ideal math book: clear logical development punctuated with very well-chosen exercises. I know of no better book on the basics of complex analysis. If you've seen basic material about complex numbers and functions, as well as a few basic facts about real analysis, you can start in chapter seven, where complex integration is introduced, and used to prove all sorts of wonderful things. But if you haven't seen these basics, they are well-presented in the opening chapters, making this book extremely accessible. But it is in chapter seven that the book really begins, which is where the fundamental theorems of complex analysis start being proved. All of these proofs and chapters are extremely well-written, making the logical structure of the whole theory entirely transparent. This book is just an introduction, as the title says, and there is lots of advanced material not touched here, but this book provides an excellent foundation for further study. Chapter Titles: 1. Complex Numbers, Functions, and Sequences 2. Limits and Continuity 3. Differentiation. Analytic Functions 4. Polynomials and Rational Functions 5. Mobius Transforms 6. Exponentials and Logarithms 7. Complex Integrals. Cauchy's Integral Theorem 8. Cauchy's Integral Formula and Its Implications 9. Complex Series. Uniform Convergence 10. Power Series 11. Laurent Series. Singular points 12. The Reside Theorem and Its Implications 13. Harmonic Functions 14. Infinite Product and Partial Fraction Expansions 15. Conformal Mapping 16. Analytic Continuation

7 of 7 people found the following review helpful:

5.0 out of 5 stars Great Book on complex analysis, May 12, 2002

By A Customer

This review is from: Introductory Complex Analysis (Dover Books on Mathematics) (Paperback)

Last year i took a graduate course on complex analysis having very little previous knowledge about it, cause i study physics and this was the book i used to help my self. This book resulted being a delight, it's wonderfull the way it is written the clarity, all theorems with proofs and starts from the basics till more advanced topics. I recently read it completely and the same thing happened: is a wonderfull book, my plan now is to get the bigger work of Markushevich, to extend the knowledge. In one word buy it you won't regret it!

9 of 10 people found the following review helpful:

5.0 out of 5 stars excellent, rigorous work, February 11, 2000

By 

Ted Shane (usa) - See all my reviews

This review is from: Introductory Complex Analysis (Dover Books on Mathematics) (Paperback)

I was amazed by this book. In a small amount of space, it manages to present most of the important theoretical aspects of complex analysis, and rigorously, so you get all the detailed proofs. However, the book isn't big on applications, so you might consider getting an applied text to supplement this one. Also, the book is quite advanced. Some background in advanced calculus (Widder's book works great) would help you make more sense of the text. I read this after I learned applied compl. analysis, so I can't really judge this book as an introduction to the field, but for someone who is familiar with the essentials of complex analysis, this is an excellent theoretical supplement.