
A Brief Introduction to Numerical Analysis
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Due in July. This is an advanced textbook based on lectures delivered by a well-known specialist at the Moscow Physico-Technical Institute. The author makes the reader an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis in a short time. Since matrix analysis underlies numerical methods and the author is an expert in this field, emphasis is on methods and algorithms of matrix analysis. Also considered are function approximations, methods of solving nonlinear...
Due in July. This is an advanced textbook based on lectures delivered by a well-known specialist at the Moscow Physico-Technical Institute. The author makes the reader an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis in a short time. Since matrix analysis underlies numerical methods and the author is an expert in this field, emphasis is on methods and algorithms of matrix analysis. Also considered are function approximations, methods of solving nonlinear equations, and minimization methods. Alongside classical methods, new results and approaches developed over the last few years are discussed.