Applied Mathematics and the Quantification of Experimental Physics: The Example of Barometric Hypsometry

1985 ◽  
Vol 15 (2) ◽  
pp. 127-195 ◽  
Author(s):  
Theodore S. Feldman
1998 ◽  
Vol 44 ◽  
pp. 315-328
Author(s):  
Brian Pippard

There is a long sequence of photographs in the Cavendish Laboratory showing the research students and staff every year from 1897; the 1902 photograph has J.J. Thomson in the middle, and includes Charles Francis Mott and Lilian Mary Reynolds, who were married in 1904 and whose son was Nevill Francis Mott. Charles was unlucky in his research project, which gave him no encouragement to continue, but he had a successful career, first as senior science master at Giggleswick, and then as Director of Education in the north–west of England, ultimately as Director for Liverpool. Miss Reynolds had been a star pupil of Cheltenham Ladie's College and at Cambridge was the best woman mathematician of her year, being classed equal with the eleventh wrangler. She was not at home in experimental physics—her heart was in applied mathematics—and after marriage, as her two children grew up, she devoted herself to social work. It is clear, from the loving memoir that her husband wrote and had published privately after her death, that she retained an active intelligence to the end.


Author(s):  
Leiba Rodman

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.


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