Date of Award:
5-1961
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Committee Chair(s)
Diran Sarafyan
Committee
Diran Sarafyan
Abstract
It is needless to point out the necessity and the importance of the study of Pfaffian differential expressions and equations. While it is interesting to consider from the pure mathematical point of view, their applications in many branches of applied mathematics are well known. To mention a few, one may observe that they arise in connection with line integrals (example, determination of work). They provide a more rational formulation of the foundations of thermodynamics as developed by the Greek mathematician Caratheodory. They also arise in the problem of determining the orthogonal trajectories. In many branches of engineering and other physical sciences they appear with problems concerning partial differential equations.
Checksum
7599304ef1d84dd3c704cc0d0ef630c6
Recommended Citation
Unni, K. Raman, "Pfaffian Differential Expressions and Equations" (1961). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6777.
https://digitalcommons.usu.edu/etd/6777
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