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Elementary Theory and Application of Numerical Analysis
This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It considers a relatively small number of basic concepts and techniques, focusing on how and why each method works. The authors offer careful consideration of error-analysis aspects related to the problems and algorithms.
The treatment also reviews and solidifies basic concepts from elementary calculus, emphasizing theory and proofs. It makes repeated use of the mean-value theorem, intermediate-value theorem, and Taylor's series. Many exercises appear throughout the text, most with solutions, and an extensive tutorial explains how to solve problems with C++.
The treatment also reviews and solidifies basic concepts from elementary calculus, emphasizing theory and proofs. It makes repeated use of the mean-value theorem, intermediate-value theorem, and Taylor's series. Many exercises appear throughout the text, most with solutions, and an extensive tutorial explains how to solve problems with C++.
Updated reprint of the McGraw-Hill, 1967 edition.
mathematics; mathematical analysis; elementary theory; calculus; fortran; programming language; mean value theorem; intermediate value theorem; taylor series; study of algorithms; mathematical calculations; approximate solutions; solving differential equations; computers; Numerical Analysis; Solving Problems with C++; Mean-Value Theorem; Taylor's Series$8.73
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Description
This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It considers a relatively small number of basic concepts and techniques, focusing on how and why each method works. The authors offer careful consideration of error-analysis aspects related to the problems and algorithms.
The treatment also reviews and solidifies basic concepts from elementary calculus, emphasizing theory and proofs. It makes repeated use of the mean-value theorem, intermediate-value theorem, and Taylor's series. Many exercises appear throughout the text, most with solutions, and an extensive tutorial explains how to solve problems with C++.
The treatment also reviews and solidifies basic concepts from elementary calculus, emphasizing theory and proofs. It makes repeated use of the mean-value theorem, intermediate-value theorem, and Taylor's series. Many exercises appear throughout the text, most with solutions, and an extensive tutorial explains how to solve problems with C++.
Updated reprint of the McGraw-Hill, 1967 edition.
mathematics; mathematical analysis; elementary theory; calculus; fortran; programming language; mean value theorem; intermediate value theorem; taylor series; study of algorithms; mathematical calculations; approximate solutions; solving differential equations; computers; Numerical Analysis; Solving Problems with C++; Mean-Value Theorem; Taylor's Series
