A theoretical introduction to numerical analysis.9781584886075 A theoretical introduction to numerical analysis numerical analysis Branch of applied mathematics that studies methods for solving complicated equations using arithmetic operations, often so complex that they require a computer, to approximate the processes of analysis (i.e., calculus). . Ryben'kii, Victor S. and Semyon V. Tsynkov. Chapman & Hall/CRC 2007 537 pages $79.95 Hardcover QA297 Combining classical and advanced topics and the view from Russian schools of thought alongside those of the West, the authors present general methodologies and principles of numerical analysis and show key concepts using numerical methods from real analysis, linear algebra linear algebra Branch of algebra concerned with methods of solving systems of linear equations; more generally, the mathematics of linear transformations and vector spaces. and differential equations, primarily for computer-based activity. They describe discretization dis·cret·i·za·tion n. The act of making mathematically discrete. , conditioning, errors and method of computation, algebraic 1. (language) ALGEBRAIC - An early system on MIT's Whirlwind. [CACM 2(5):16 (May 1959)]. 2. (theory) algebraic - In domain theory, a complete partial order is algebraic if every element is the least upper bound of some chain of compact elements. interpolation interpolation In mathematics, estimation of a value between two known data points. A simple example is calculating the mean (see mean, median, and mode) of two population counts made 10 years apart to estimate the population in the fifth year. , trigometric interpolation, computation of definitive integrals and quadratures, direct methods in systems of linear algebraic equations, itertive methods for solving linear systems, using least squares in solving undetermined linear systems, numerical solutions of nonlinear equations and systems, methods of finite differences fort the numerical solution of differential equations, methods for boundary equations for the numerical solution of boundary value problems. ([c]20072005 Book News, Inc., Portland, OR) |
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