This well-knownbook 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.

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Yes, you can access Elements of the Theory of Functions by Konrad Knopp, Bagemihl, Frederick, Bagemihl, Frederick in PDF and/or ePUB format, as well as other popular books in Mathématiques & Mathématiques générales. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Dover Publications

Year

2016

ISBN

9780486165608

Topic

Mathématiques

Subtopic

Mathématiques générales

Cover
Title page
Copyright
Contents
Section I. Complex Numbers and Their Geometric Representation
Section II. Linear Functions and Circular Transformations
Section III. Sets and Sequences. Power Series
Section IV. Analytic Functions and Conformal, Mapping
Section V. The Elementary Functions
Bibliography
Index