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This basic book on functions of a complex variable represents the irreducible minimum of what every scientist and engineer should know about this important subject. From a preliminary discussion of complex numbers and functions to key topics such as the Cauchy theory, power series, and residues, distinguished mathematical writer Richard Silverman presents the fundamentals of complex analysis in a concise manner designed not to overwhelm the beginner. The author's lively style and simplicity of approach enable the reader to grasp essential topics without being distracted by secondary issues.
Contents include: Complex Numbers; Some Special Mapping; Limits in the Complex Plane; Multiple-Valued Functions' Complex Functions; Taylor Series; Differentiation in the Complex Plane; Laurent Series; Integration in the Complex Plane; Applications of Residues; Complex Series; Mapping of Polygonal Domains; Power Series; and Some Physical Applications.
Abundant exercise material and examples, as well as section-by-section comments at the end of each chapter make this book especially valuable to students and anyone encountering complex analysis for the first time.
- Sales Rank: #225879 in Books
- Published on: 2010-10-18
- Released on: 2010-09-20
- Original language: English
- Number of items: 1
- Dimensions: 8.44" h x .60" w x 5.39" l, .68 pounds
- Binding: Paperback
- 304 pages
About the Author
Richard A. Silverman: Dover's Trusted Advisor
Richard Silverman was the primary reviewer of our mathematics books for well over 25 years starting in the 1970s. And, as one of the preeminent translators of scientific Russian, his work also appears in our catalog in the form of his translations of essential works by many of the greatest names in Russian mathematics and physics of the twentieth century. These titles include (but are by no means limited to): Special Functions and Their Applications (Lebedev); Methods of Quantum Field Theory in Statistical Physics (Abrikosov, et al); An Introduction to the Theory of Linear Spaces, Linear Algebra, and Elementary Real and Complex Analysis (all three by Shilov); and many more.
During the Silverman years, the Dover math program attained and deepened its reach and depth to a level that would not have been possible without his valuable contributions.
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2 of 7 people found the following review helpful.
Book is new, BUT the pages were in reverse order :(
By CLK-280
I got this book because it was one of the recommended books to have on Complex analysis. Unfortunately when I received it and attempted to open the book, if you can imagine my surprise, the printed text was bound in reverse. That is, the front started with the catalog of Dover books, Index, ...etc. and the back of the book was where the Contents, Chapter 1, ... etc. were. It was like reading in an Arabic style (Right to left). I was very disappointed.
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