Open AccessAn Even Simpler “Truly Elementary” Proof of Bertrand’s Theorem
Author(s) -
Jared Galbraith,
Jacob Williams
Publication year - 2019
Publication title -
journal of undergraduate reports in physics
Language(s) - English
Resource type - Journals
ISSN - 2642-7451
DOI - 10.1063/1.5129245
Subject(s) - mathematics , elementary proof , calculus (dental) , bertrand competition , mathematical economics , pure mathematics , medicine , dentistry , oligopoly , cournot competition
We present a further simplified derivation of a “truly elementary” proof of Bertrand’s theorem, which predicts the exponents in central power-law potentials that produce closed orbits.We present a further simplified derivation of a “truly elementary” proof of Bertrand’s theorem, which predicts the exponents in central power-law potentials that produce closed orbits.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom