โ Scribed by Steven G. Krantz
No coin nor oath required. For personal study only.
This is a book about complex variables that gives the reader a quick and accessible introduction to the key topics. While the coverage is not comprehensive, it certainly gives the reader a solid grounding in this fundamental area. There are many figures and examples to illustrate the principal ideas, and the exposition is lively and inviting. An undergraduate wanting to have a first look at this subject or a graduate student preparing for the qualifying exams, will find this book to be a useful resource.
In addition to important ideas from the Cauchy theory, the book also include sthe Riemann mapping theorem, harmonic functions, the argument principle, general conformal mapping and dozens of other central topics.
Readers will find this book to be a useful companion to more exhaustive texts in the field. It is a valuable resource for mathematicians and non-mathematicians alike.
๐ SIMILAR VOLUMES
This volume consists of 5 contributions. The first one presents a brief discussion of some important facts of complex analysis. The other contributions give extended surveys in integral representation theory, complex analytic sets, holomorphic mappings and geometry of surfaces, and multidimensional
Complex Variables is an extended course in complex analysis and its applications for engineering students and for those who use complex analysis in their work. In addition to classical results, it includes results recently obtained by the authors. Antimirov, Kolyshkin, and Vaillancourt have combined