Reconstruction of Harmonic Series Using Polynomial Nodal Systems and Algebraic Derivation of the Euler Constant

Key Points

• This research aims to reconstruct the harmonic series using polynomial nodal systems and derive the Euler constant algebraically.
• Applied polynomial nodal systems to reconstruct harmonic series.
• Conducted algebraic analysis for Euler constant derivation.
• Utilized theoretical frameworks for series reconstruction.
• Successfully reconstructed the harmonic series using polynomial nodal systems.
• Derived the Euler constant through algebraic methods, providing new insights into series theory.