Elements of the Theory of Functions (Dover Books on Mathematics) (Paperback)

Elements of the Theory of Functions (Dover Books on Mathematics) By Konrad Knopp, Bagemihl Frederick (Translator) Cover Image
By Konrad Knopp, Bagemihl Frederick (Translator)


This well-known book provides a clear and concise review of general function theory via complex variables. Suitable for undergraduate math majors, the treatment explores only those topics that are simplest but are also most important for the development of the theory. Prerequisites include a knowledge of the foundations of real analysis and of the elements of analytic geometry.
The text begins with an introduction to the system of complex numbers and their operations. Then the concept of sets of numbers, the limit concept, and closely related matters are extended to complex quantities. Final chapters examine the elementary functions, including rational and linear functions, exponential and trigonometric functions, and several others as well as their inverses, including the logarithm and the cyclometric functions. Numerous examples clarify the essential ideas, and proofs are expressed in a direct manner without sacrifice of completeness or rigor.

Product Details
ISBN: 9780486601540
ISBN-10: 0486601544
Publisher: Dover Publications
Publication Date: October 19th, 2016
Pages: 160
Language: English
Series: Dover Books on Mathematics