The paper is a chapter of the above-mentioned book. It aims to give an expository presentation of author's version of the non-Abelian Stokes theorem in the framework of path-integral formalism.

Stokes' theorem is central to many aspects of physics—electromagnetism, the Aharonov-Bohm effect, and Wilson loops to name a few. However, the pedagogical examples and research work almost exclusively ...

Abstract: This study investigates the challenges faced by second-year undergraduate engineering students in understanding Stokes’ theorem in vector calculus, focusing on the misconceptions found in ...

The results of this paper were found by the author in the summer of 1964 and have been in private circulation since. Detailed proofs are to appear in a sequence of papers entitled “Integration on real ...

Stokes' theorem, in its original form and Cartan's generalization, is crucial for designing magnetic fields to confine plasma (ionized gas). The paper illustrates its use, in particular to address the ...

ABSTRACT: In this paper, the boundary layer equations (abbreviation BLE) for exterior flow around an obstacle are established using semi-geodesic coordinate system (S-coordinate) based on the curved ...