Mathematical analysis

Related lectures (25)

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Explores stationary points in analytical functions and their significance in mathematical analysis.

Covers Cauchy and Laurent series in complex analysis.

Explores Fourier series convergence and coefficient calculations through examples and derivations.

Explores handling indeterminate forms in limits through simplification and extracting dominant terms for effective evaluation.

Introduces real numbers, their properties, and their significance in analysis.

Covers the concept of uniform convergence of Fourier series and Dirichlet's theorem application.

Explores the conditions for injectivity in mathematical functions, with detailed examples and proofs.

Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.

Discusses load factors, stress calculations, and limit analysis in geotechnical engineering.

Explores sequences, convergence, and limits, emphasizing the importance of understanding how sequences approach specific values.