A Topological Analysis Research and Demonstration Computer Program Library.

Abstract

This report describes a computer program designed to operate in either batch mode or interactive conversational mode, created for the purposes of demonstrating certain aspects of the foundations of complex function theory and of facilitating research therein. The program is built around the concept of winding number which it relates to the concept of integer valued analogue of the complex analytic logarithm function. This number counts the number of times a closed path in the plane 'winds' about a point. It can be expressed in terms of concepts of combinatorial topology or analytically in terms of complex contour integrals or complex logarithm functions. A detailed set of instructions on how to use the program as well as a listing of the program coding is included.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADA013683

Entities

People

  • Kenneth O. Leland

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analogs
  • Computer Programming
  • Computer Programs
  • Computers
  • Computing-Related Activities
  • Contour Integrals
  • Demonstrations
  • Instructions
  • Integrals
  • Logarithm Functions
  • Mathematics
  • Software Development

Readers

  • Computer Science.
  • Graph Algorithms and Convex Optimization.
  • Theoretical Analysis.