Extending the definitions of GCD and LCM to fractions

Shirali, Shailesh (2018) Extending the definitions of GCD and LCM to fractions. At Right Angles, 7 (2). pp. 33-38. ISSN 2582-1873

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Abstract

Tt happens quite frequently in mathematics that we need to extend the definition of a mathematical concept to cover a larger domain than the one on which the concept was originally defined. Historically, such a progression is part of the very evolution of mathematics. To give a simple example, consider the notion of sine and cosine of an angle. These notions arise from the consideration of right-angled triangles. If we stick strictly to the original definition, then it becomes absurd to talk of the sine and cosine of an obtuse angle. But one can easily extend the domains of definition of these functions to cover angles of arbitrary measure by considering, instead of a right-angled triangle, a circle of unit radius centred at the origin of a rectangular coordinate plane.

Item Type:	Articles in APF Magazines
Authors:	Shirali, Shailesh
Document Language:	Language English
Uncontrolled Keywords:	Definition, GCD, LCM, domain
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1617
Publisher URL:	http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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