Elemente der Funktionentheorie

By Konrad Knopp and Knopp, Konrad,

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 0486601544
• ISBN13: 9780486601540
• Release Date: October 2016
• Publisher: Dover Publications
• Length: 160 Pages
• Weight: 0.40 lbs.
• Dimensions: 0.3" x 5.4" x 8.0"

Customer Reviews

Very Clear and Sharp Mentor of Math +++

Recently, I dug into my collection of "old-school" math books looking for a good review of general function theory via complex variables. I [somehow] recalled this author as having a very good approach to this area. This topic is so wide and deep as to allow for many approaches. The whole presentation of this author via his little series of math works follows a very clear and sharp path from complex variables to general function theory. It seems many authors delay starting at the start with complex numbers and variables -- yet the "complex way" is a very streamlined way into general function theory and even infinite series -- as this Mentor shows -- starting with this very great little gem of an introduction. Even complex numbers can be approached from various angles -- one of the best being that of "Elements of the Theory of Functions" by Konrad Knopp +++

A Classic with outdated language

This book goes with the series of books written by this author:" Theory of Functions". Together with the other parts it gives a good introduction to the theory of complex functional analysis. Although the language is in places outdated, the mathematics covered is solid and necessary. It is a starting point in study for subjects like chaos and fractals as well. One of the best points is that is a cheap Dover book!

A Gem!

This book would be worth the price of it were 10 times as expensive! One of the best presentations of the real and complex analysis I have seen.