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Title details for Elements of the Theory of Functions by Konrad Knopp - Available

Elements of the Theory of Functions

by Konrad Knopp
Bagemihl, Frederick
ebook
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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.
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Series: Dover Books on Mathematics Publisher: Dover Publications

Kindle Book

  • Release date: October 5, 2016

OverDrive Read

  • ISBN: 9780486165608
  • File size: 20724 KB
  • Release date: October 5, 2016

EPUB ebook

  • ISBN: 9780486165608
  • File size: 20724 KB
  • Release date: October 5, 2016

Formats

Kindle Book
OverDrive Read
EPUB ebook

subjects

Mathematics Nonfiction

Languages

English

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.
Expand title description text
Mathematics Nonfiction