Concept
Harmonic series (mathematics)
Related lectures (32)
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Convergence of Series
Covers the convergence criteria of series, including alternating series and absolute convergence.
Convergence and Divergence of Series
Covers the definitions of convergent and divergent series and explores the harmonic series and alternating series.
Series with Nonnegative Summands, Leibniz
Covers the convergence of series with nonnegative summands and the Leibniz criterion.
Series: Geometric and Harmonic Series
Covers the definition of series, including the geometric and harmonic series.
Convergence of Series
Explores the convergence criteria of numerical series, including absolute convergence and alternating series.
Dynamic Error Analysis
Analyzes dynamic errors in precision mechanisms, focusing on theoretical vs. real movements, sources of error, and harmonic responses.
Cauchy Sequences and Series
Explores Cauchy sequences, series definition, and convergence criteria.
Completeness of LP
Explores the completeness of LP, discussing implications of mathematical conditions and the convergence of series.
Potential Energy, Mechanical Energy, and Resonance
Explores potential energy, mechanical energy, and resonance in mechanical systems, including real-life examples of resonance phenomena.