IJPAM: Volume 78, No. 8 (2012)

BUILDING BLOCKS AND HARMONIC SERIES

Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN


Abstract. This chapter presents an explanation of the divergence and convergence of infinite series through the building block problem. The chapter simultaneously expresses the fact that mathematics is not just about manipulating complicated numerical formulae but is also a field in which logical ways of thought are acquired. It is emphasized that in order to overcome university students' aversions to mathematics, lecturers must pour their energies into developing study materials taken from topics relevant to students.

Received: March 5, 2012

AMS Subject Classification: 00A09, 40A02, 97A20

Key Words and Phrases: harmonic series, center of gravity, convergence and divergence, logarithmic functions, mathematical education

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 8