Lectures related to Logarithmic integral function

Covers the functional equation of the Zeta function and the Hadamard factorization theorem.

Covers mathematical functions, limits, and their applications.

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

Covers the properties of exponential and logarithmic functions.

Explores Abel summation formula, Chebyshev's theorem, and logarithmic functions with practical examples.

Focuses on determining the derivability of functions within their domains using square roots, logarithmic, and exponential functions.

Introduces Riemann sums as approximations of the area under a function's graph.

Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.

Explores fundamental special functions with applications in various fields.

Covers the concepts of convexity and concavity in functions with examples.

Explores trigonometric addition theorem, double angles, and tangent properties.

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Explores uncertainty quantification using Quasi Monte Carlo methods and discrepancy measures for integral approximation and volume estimation.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Introduces complex analysis, focusing on holomorphic functions and the Cauchy-Riemann equations.

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.