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"Numerical algorithms" as a book category covers methods and techniques for approximately solving mathematical problems on computers, emphasizing algorithms for root finding, interpolation, numerical integration and differentiation, numerical linear algebra (direct and iterative solvers), optimization, and the numerical solution of ordinary and partial differential equations. Books in this category treat both the mathematical foundations—convergence, error and stability analysis, conditioning—and practical concerns such as algorithmic complexity, floating‑point issues, preconditioning, adaptivity and efficient implementation in software and hardware. They range from theoretical texts that prove properties of algorithms to hands‑on guides focused on coding, performance tuning and applications in scientific computing, engineering, and data science, making the category useful to mathematicians, computational scientists, and practitioners building reliable numerical software.

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