Veltmann's device for solving a system of linear equations

Veenstra, H.J. (2012) Veltmann's device for solving a system of linear equations. Bachelor's Thesis, Mathematics.

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Abstract

In 1892 the `Deutsche Mathematiker Vereinigung' (German mathematician society) published a catalogue of (physico-)mathematical models, devices and instruments. In this catalogue we find the description of a device invented by professor W. Veltmann. His device could be used to solve a system of linear equations by using hydromechanics. In this thesis we tried to discover Veltmann's motives to build such a device. Hereafter we looked at the device itself. We found that Veltmann might have built this device for educational purposes. The device works because of an equilibrium according to the law of the lever and an equilibrium between the buoyant force and the gravitational force. Veltmann's device works properly for inconsistent systems and systems without a unique solution. However, there are restrictions that need to be posed on amounts of fluid that are added in order to make the device work properly.

Item Type:	Thesis (Bachelor's Thesis)
Degree programme:	Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	15 Feb 2018 07:49
Last Modified:	15 Feb 2018 07:49
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/10309

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