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Introduction To Numerical Analysis And Scientific Computing,Used
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Designed for a onesemester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroomtested text helps students understand floating point number representations, particularly those pertaining to IEEE simple and doubleprecision standards as used in scientific computer environments such as MATLAB version 7.Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors discuss computer arithmetic as a source for generating roundoff errors and how to avoid the use of algebraic expression that may lead to loss of significant figures. They cover nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB.Each chapter ends with a large number of exercises, with answers to oddnumbered exercises provided at the end of the book. Throughout the seven chapters, several computer projects are proposed. These test the students' understanding of both the mathematics of numerical methods and the art of computer programming.
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