ELEMENTARY INDEFINITE INTEGRATION THEORY FOR THE COMPUTER.

Abstract

Various algebraic properties of the indefinite Riemann integral that are appropriate for its use on the computer are examined. From this analysis it is seen that the operation of the integral on certain simply described families of functions, called invariant algebras, indicates how it must also act on more complex families of maps. Several examples of the theory are presented, illustrating among other things the relationship existing between integrals of certain types of hypergeometric functions and the integrals of the exponential and trigonometric functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 24, 1968
Accession Number
AD0671829

Entities

People

  • Alfred H. Morris Jr.

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Computers
  • Computing Devices
  • Hypergeometric Functions
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis