Complex variables for scientists and engineers

Complex variables for scientists and engineers

by Paliouras, John D.

Type Book
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This outstanding text for undergraduate students of science and engineering requires only a standard course in elementary calculus. Designed to provide a thorough understanding of fundamental concepts and create the basis for higher-level courses, the treatment features numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. The two-part approach begins with the development of the primary concept of analytic function, advancing to the Cauchy …

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Title Statements

  • Full title :Complex variables for scientists and engineers / John D. Paliouras and Douglas S. Meadows, Rochester Institute of Technology.

Summary

This outstanding text for undergraduate students of science and engineering requires only a standard course in elementary calculus. Designed to provide a thorough understanding of fundamental concepts and create the basis for higher-level courses, the treatment features numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. The two-part approach begins with the development of the primary concept of analytic function, advancing to the Cauchy integral theory, the series development of analytic functions through evaluation of integrals by residues, and some elementary applications of harmonic functions. The second part introduces some of the deeper aspects of complex function theory: mapping properties of analytic functions, applications to various vector field problems with boundary conditions, and a collection of further theoretical results. 1990 edition.

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Edition Statements

  • Publication Date:2014.
  • Edition:Second edition

Publication Statements

Notes

"This Dover edition, first published in 2014, is an unabridged republication of the work originally published by Macmillan Publishing Company, New York, in 1990."

The Physical Object

  • Description:1 online resource (xiii, 596 pages) : : illustrations

Edition Identifiers

  • ISBN:1306531241, 9781306531245, 9780486782225, 0486782220
  • oclc:ocn874966537
  • LC Classification:QA331.7
  • Dewey Decimal:515/.9

Table of Contents

Complex Numbers -- Complex Functions -- Harmonic Functions with Applications -- Complex Integration -- Cauchy Theory of Integration -- Complex Power Series -- Laurent Series; Residues -- Mapping Properties of Analytic Functions -- Conformai Mapping with Applications -- Further Theoretical Results.

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