Introduction to Numerical Analysis

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Focusing on the intersection of pure mathematics and practical applications, this textbook introduces constructive methods for solving numerical problems with accurate approximations. It emphasizes the impact of data errors, finite-precision calculations, and approximation formulas on results. Additionally, it serves as a primer on scientific programming in MATLAB, featuring a range of theoretical and computational exercises. A standout aspect is the inclusion of interval analysis as a tool for rigorous computation and computer-assisted proofs, enhancing traditional numerical analysis concepts.