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.
- 160 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Elements of the Theory of Functions
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Table of contents
- 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
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Yes, you can access Elements of the Theory of Functions by Konrad Knopp, Bagemihl, Frederick in PDF and/or ePUB format, as well as other popular books in Mathematics & Complex Analysis. We have over 1.5 million books available in our catalogue for you to explore.