THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Rectification of vector fields and the failure of its dual
Darko Milinković and Milan Perić

Abstract

Although tangent and cotangent bundles are isomorphic vector bundles, the geometric and the dynamic properties of vector fields and differential\br 1-forms differ fundamentally. By contrasting two genuinely different -- though formally dual -- concepts of differential equations, this paper exposes a subtle asymmetry whose careful analysis is pedagogically valuable for advanced undergraduate university students.

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Keywords: Rectification; duality; differential equations.

DOI: 10.57016/TM-JKQZ7385

Pages:  1$-$13     

Volume  XXIX ,  Issue  1 ,  2026