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Discusses complex analysis, focusing on the residue theorem and Fourier transforms, with practical exercises and applications in solving differential equations.
Explores essential singularities and residue calculation in complex analysis, emphasizing the significance of specific coefficients and the validity of integrals.
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Discusses the gamma function, its properties, and Stirling's approximation for large factorials, emphasizing their significance in mathematical methods for physics.
Explores power series functions, particularly the logarithm and exponential functions, discussing convergence, extension, and roots of entire functions.
