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The textbook systematically covers several critical mathematical domains required for advanced engineering analysis: Linear Algebra (Matrices): Focuses on characteristic equations, eigenvalues and eigenvectors Cayley-Hamilton Theorem for matrix reduction and polynomial evaluation. Complex Variables and Integration: Covers Cauchy’s Integral Theorem, Taylor’s and Laurent’s series , and the use of the Residue Theorem for evaluating complex contour integrals. Probability Theory & Sampling: Includes probability distributions (Binomial, Poisson, and Normal Covers sequences, region of convergence (ROC), and inverse
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