"The material is organized in 9 chapters, 8 appendices, references and subject index. This textbook should be useful for graduate students, practicing engineers, and researchers who wish to thoroughly understand the detailed step-by-step algorithms, used during the finite element (truly sparse) assembly, the 'direct' and 'iterative' sparse equation eigen-solvers and incorporating the domain decomposition formulation for efficient parallel computation. (Costic Moroanu, zbMATH 1554.65284, 2025)