Research Catalog

On a modification of the classical isoperimetric problem /

Title
  1. On a modification of the classical isoperimetric problem / by Angelo Miele.
Published by
  1. [Houston] : Rice University, 1968.
Author
  1. Miele, Angelo.

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FormatBook/TextAccessUse in libraryCall numberQA315 .M534 1968Item locationOff-site

Details

Description
  1. 17 p. : ill.; 28 cm.
Summary
  1. The isoperimetric problem of the ancient Greeks consists of finding the curve of maximum area for a given perimeter or, equivalently, the curve of minimum perimeter for a given area. Its well known solution is a circle covering the angular interval delta theta = 2 pi. If the area under consideration is constrained to lie in the angular interval delta theta < 2 pi and if the perimeter includes the segments lying on the border of the above angular interval, a modification of the classical isoperimetric problem arises. Its solution is found with the methods of the calculus of variations and differs considerably from the constant radius solution of the classical isoperimetric problem. (Author).
Series statement
  1. Aero-astronautics report ; no. 37
Subject
  1. Transcendental functions
  2. Differential equations, Partial
  3. Calculus of variations
  4. Integral equations
  5. Problem solving
  6. Boundary value problems
Owning institution
  1. Princeton University Library
Note
  1. Cover title.