工程数学基础

Learn fundamental engineering mathematics concepts through a comprehensive course covering linear spaces, linear operators, matrix theory, normed spaces, matrix analysis, inner product spaces, linear equations, interpolation methods, numerical integration, and differential equations. Master key topics including matrix similarity transformations, bounded linear operators, matrix norms, spectral radius, orthogonality, Hermitian matrices, iterative methods for solving linear systems, Newton-Cotes formulas, Romberg algorithms, and numerical solutions to ordinary differential equations. Develop essential mathematical skills needed for engineering applications through theoretical foundations and practical problem-solving techniques.