The Box Principle

Authors

Keywords:

The box principle, theorem, the mailman principle, cluster´s theory

Abstract

The Box Principle or also known as the Postman Principle is a classic theorem of mathematics which is used to develop other theorems, especially in the field of “cordinatoria” theory, set theory and real numbers theory. This article illustrates the proof of the principle argued by Dr. Yu Takeuchi in his lecture at the First National and Third Regional Meeting Natural Science Teaching Conference hosted by the Universidad Católica Popular de Risaralda in October 2009. It also provides some important applications of this theorem.

Author Biographies

  • Yu Takeuchi

    Físico Teórico Magíster en Matemáticas Pensionado Universidad Nacional de Colombia (Bogota)

  • Juan Carlos Henao López

    Est. Maestría en Ingeniería Eléctrica  Especialista en Pedagogía y Desarrollo Humano Ingeniero Electricista Docente Institución Educativa INEM Felipe Pérez  Docente Catedrático Universidad Católica Popular del Risaralda Grupo de Investigación GEMA

  • Juan Luis Arias Vargas

    Magíster en la enseñanza de la Matemática Especialista en Administración de la Informática Educativa Ingeniero Industrial Docente Auxiliar Universidad Católica Popular del Risaralda Docente Catedrático Auxiliar Universidad Tecnológica de Pereira

References

Apostol, T. (Ed.) (1969). Selected Papers on Calculus. Washington D.C.: MAA.

Haaser, N., LaSalle, J., & Sullivan, J. (1970). Análisis Matemático. Curso Intermedio. Mexico: F. Trillas.

Kolman, B., Busby, R., & Ross, S. (1996). Discrete Mathematical Strcutures. Mexico: Prentice-Hall.

Pinto, P. C. (1999). O Principio das Gavetas. Eureka, 27-33.

Santos, M. (1998). On the Implementation of Mathematical Problem Solving: Qualities of some Learning Activities. In E. Dubinsky, A. H. Schoenfeld & J. Kaput (Eds.), Research in collegiate mathematics education. III, pp. 71-80. Washington, D.C.: American Mathematical Society.

Takeuchi, Y. (1999). Sobre el Comportamiento Asintótico de Algunas Sucesiones de Polinomio. Revista Colombiana de Matemáticas, 143-172.

Young, R. (1992). Excursions in Calculus: an Interplay of the Continuous and the Discrete. Dolciani Mathematical Expositions Number 13. Washington: MAA.

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Published

2010-12-17

Issue

Vol. 4 No. 8 (2010)

Section

Artículos

How to Cite

The Box Principle. (2010). Entre Ciencia E ingeniería, 4(8), 67-82. https://ojs.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/726