Open Access. Powered by Scholars. Published by Universities.®
Discrete Mathematics and Combinatorics
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Articles 1 - 1 of 1
Full-Text Articles in Other Mathematics
Pfaffian Differential Expressions And Equations, K. Raman Unni
Pfaffian Differential Expressions And Equations, K. Raman Unni
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
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 …