Research Catalog

On a modification of the classical isoperimetric problem.

Title
On a modification of the classical isoperimetric problem.
Author
Miele, Angelo.
Publication
[Houston] Rice University, 1968.

Items in the Library & Off-site

Filter by

1 Item

StatusFormatAccessCall NumberItem Location
Request for On-site UseRequest Scan
How do I pick up this item and when will it be ready?
TextUse in library QA315 .M534 1968Off-site

Details

Description
17 pages illustrations; 28 cm
Summary
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
Aero-astronautics report, no. 37
Uniform Title
Aero-astronautics report ; no. 37.
Subject
  • Calculus of variations
  • Problem solving
  • Integral equations
  • Differential equations, Partial
  • Boundary value problems
  • Transcendental functions
Note
  • Cover title.
OCLC
  • ocm13293656
  • 13293656
  • SCSB-1538127
Owning Institutions
Princeton University Library