Elementary Theory and Application of Numerical Analysis: Revised Edition

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++. 
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Elementary Theory and Application of Numerical Analysis: Revised Edition

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++. 
24.95 Out Of Stock
Elementary Theory and Application of Numerical Analysis: Revised Edition

Elementary Theory and Application of Numerical Analysis: Revised Edition

Elementary Theory and Application of Numerical Analysis: Revised Edition

Elementary Theory and Application of Numerical Analysis: Revised Edition

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Overview


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++. 

Product Details

ISBN-13: 9780486479064
Publisher: Courier Corporation
Publication date: 12/14/2011
Series: Dover Books on Mathematics Series
Edition description: Revised
Pages: 336
Product dimensions: 6.10(w) x 9.20(h) x 0.70(d)

Table of Contents


Table of Contents
Preface to the Revised 2011 Dover Edition
1. Solution of Equations by Fixed Point Iteration
2. Matrix Computations and Solution of Linear Equations
3. Iterative Solution of Systems of Equations
4. Polynomials, Taylor's Series and Interpolation Theory
5. Errors and Floating-Point Arithmetic
6. Numerical Differentiation and Integration
7. Introduction to the Numerical Solution of Ordinary Differential Equations
8. Numerical Solution of Ordinary Differential Equations
Appendix A: C++ Programming
Appendix B: Answers to Selected Exercises
Bibliography
Index
 
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