Cambridge:: J. and J. J. Deighton, 1837., 1837. 8vo. xv, , 182,  pp. Contemporary quarter brown gilt-stamped cloth, marbled boards; corners showing. Bookplate. Very good. "Kelland's work on heat was characterized later as mathematically ingenious but physically flawed. Supposedly Kelland confused heat flow and temperature and wrote of 'temperature flow.' – Garber, p.220. / "In 1837 Phillip Kelland wrote a text on the subject [physics] partially encompassing Fourier's work. In both text and report, Kelland tried to develop a physical model for heat. He rejected caloric theory because it could not explain radiation and turned to a vernacular version of Poisson's molecular model. When he developed his mathematical theory of heat, he used Fourier. The text remained in two distinct parts. This was not a copy of French mathematics since Kelland developed special cases that led to real physical circumstances. These circumstances were reflected in experiments whose results could be directly compared to the mathematics. He focused on this aspect of his work in his British Association report. He was hard put to do this given the relationship of physical model to mathematics in his own work and the absence of physical process in Fourier's mathematics. He worked out specific examples that might be tried experimentally. The four mathematical theories did not allow him to do this. Kelland noted that mathematicians, Poisson in particular, had 'not presented their results in a form sufficiently tangible to direct or suggest the application of experiment to them.' Experiments in and of themselves could not decide among the various mathematical interpretations. Available experiments also were not consistent enough to lead to any one empirical law of conduction. Kelland went on to suggest some experiments that might do that and the difficulties they presented to the experimenter." – Elizabeth Garber, The Language of Physics: The Calculus and the Development of theoretical physics in Europe, 1750-1914, Boston: Birkhauser, 1999, p. 220. Kelland was an English mathematician and Fellow of both the Royal Society and the Royal Society of Scotland. He is best remembered for his outsized impact on education in Scotland, where he taught at the University of Edinburgh and pushed through significant reforms in the Scottish University system.
(Inventory #: SW1505)
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