NUMERICAL ANALYSIS AND SCIENTIFIC COMPUTATION 2ED (HB 2022) Hardcover

This introductory textbook on numerical analysis takes a modern scientific computing approach, designed for a single semester. It immediately engages students with numerical methods, using current techniques in computational matrix algebra and emphasizing the algorithms found in real-world software. The book consistently points out how hardware limitations can influence the selection of an algorithm. It bridges the gap between a mathematically rigorous numerical analysis course and the practical needs of science and engineering students. While the book rigorously derives standard numerical analysis methods, carefully states results, and provides many proofs, it also frequently discusses practical aspects like parallel implementations, the BLAS (Basic Linear Algebra Subroutines), half- to quadruple-precision computing, and other real-world considerations. No prior computing experience is required. Optional MATLAB sections within each chapter offer a complete self-study tutorial and enable students to perform numerical experiments with the methods they've just learned. The text is also adaptable for use with other computing environments. This new edition features a thorough and complete update, placing greater emphasis on parallel computing strategies, emerging hardware capabilities, computational modeling, and data science applications