247
Views
21
CrossRef citations to date
0
Altmetric
Original Articles

Leveling with Lagrange: An Alternate View of Constrained Optimization

Pages 186-196 | Published online: 16 Apr 2018

REFERENCES

  • G. C. Archibald and Richard G. Lipsey, An Introduction to Mathematical Economics: Methods and Applications, Harper and Row, New York, 1976.
  • Alpha C. Chiang, Fundamental Methods of Mathematical Economics, 3rd ed., McGraw-Hill, New York, 1984.
  • Frank A. Farris, private communication, July 2008.
  • C. G. Fraser, Isoperimetric problems in the variational calculus of Euler and Lagrange, Historia Mathematica 19(1) (1992) 4–23.
  • Magnus R. Hestenes, Optimization Theory the Finite Dimensional Case, Wiley, New York, 1975.
  • Michael Hoy, John Livernois, Chris McKenna, Ray Rees, and Thanasis Stengos, Mathematics for Economics, 2nd ed., MIT Press, Cambridge, MA, 2001.
  • Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, et al., Calculus Single and Multivariable, 2nd ed., Wiley, New York, 1998.
  • Dan Kalman, Uncommon Mathematical Excursions: Polynomia and Related Realms, MAA, Washington, DC, 2009.
  • J. L. Lagrange, Analytical Mechanics, translated from the Mécanique analytique, nouvelle édition of 1811 by Auguste Boissonnade and Victor N. Vagliente, Kluwer, Dordrecht, 1997.
  • J. L. Lagrange, Théorie des fonctions analytiques contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits ou d'évanouissans, de limites ou de fluxions, et réduits à l'analyse algébrique des quantités finies, De l'imprimerie de la République, Paris, 1797.
  • Ronald E. Larson, Robert P. Hostetler, and Bruce H. Edwards, Calculus with Analytic Geometry, 6th ed., Houghton Mifflin, Boston, 1998.
  • E. J. McShane, The Lagrange multiplier rule, Amer. Math. Monthly, 80(8) (1973) 922–925.
  • B. H. Pourciau, Modern multiplier rules, Amer. Math. Monthly, 87(6) (1980) 433–452.
  • James Stewart, Calculus Early Transcendentals, 3rd ed., Brooks/Cole, Pacific Grove, CA, 1995.
  • George B. Thomas, Jr., Maurice D. Weir, Joel D. Hass, and Frank R. Giordano, Thomas' Calculus Early Transcendentals, 10th ed., Addison-Wesley, Boston, 2001.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.