Article Sidebar

PDF
Date Published: 26/02/2020
Online Published: 26/02/2020
Abstract Views: 277
Views PDF: 186
DOI: https://doi.org/10.54607/hcmue.js.17.2.2601(2020)
Issue
Vol. 17 No. 2 (2020)
Section
Articles
How to Cite
Nguyễn , H. L., & Trần , L. C. K. (2020). TWO ASPECTS OF DIALECTIC IMPACT IN THE DEVELOPMENT PROCESS OF A MATHEMATICAL CONCEPT: A CASE OF EXPONENTIAL FUNCTION. HCMUE Journal of Science, 17(2), 211. https://doi.org/10.54607/hcmue.js.17.2.2601(2020)

TWO ASPECTS OF DIALECTIC IMPACT IN THE DEVELOPMENT PROCESS OF A MATHEMATICAL CONCEPT: A CASE OF EXPONENTIAL FUNCTION

Hữu Lợi Nguyễn , Lương Công Khanh Trần

Main Article Content

Abstract

 

            Exponential function has many applications in life, science, and technology. The process of exponential formation and function derives from the needs of human life. When complete, the exponential function has impacted and motivated other areas of life and mathematics. The article discusses the origin of the exponential function, which is from the need to calculate interest rates of the Babylonians. This problem has been built to be exponential function by mathematicians. When it was officially created, the exponential function affected many fields of science, engineering, and mathematics, in which the representation and prediction of future behaviors that change over time are characteristic of exponential functions. The exponential function is an illustration of the two aspects of a dialectic impact in the development of the mathematical concept.

 

Keywords

exponential function, power, mathematical concepts, interest, dialectical effects, population growth, exponential equations

Article Details

References

Bui Phuc Trung (2011), Financial Mathematics Curriculum 1 [Giao trinh Toan tai chinh 1]. University of Economics Ho Chi Minh City, Publisher of Statistics.
Florian Cajori (1993). A history of mathematical notations – Two volumes bound as one. Dover publications – Inc. New York.
Hong Duc Publisher. (2016). Calculus Analytics [Giai tich Calculus]. 7th version.
James Stewart (2010). Calculus Early Transcendentals 7E. McMaster University and University of Toronto.
Lorenzo, J. C. (1978). Concept of the exponential law prior to 1900. Am. J. Phys., 46(9).
Nguyen Manh Cang (2011). Teaching to expand the concept of power in grade 12 high school (Advanced Board) in view of situation theory. Scientific Journal of Hanoi University of Education, 57(10), 8-13.
Tran Trung, & Nguyen Chien Thang (2013). History of mathematical knowledge in high school [Lich su kien thuc toan hoc o truong pho thong]. Publisher of Education University, Hanoi.
Victor, J. K. (2009). A history of mathematics. Third edition, Pearson Education.