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Numerical analysis : mathematics of scientific computing / David Kincaid and Ward Cheney.

By: Contributor(s): Material type: TextTextSeries: Pure and applied undergraduate texts ; 2Publication details: Providence : AMS, 2010.Edition: 3rd edDescription: xiv, 788 p. : illustrations ; 25 cmISBN:
  • 9780821852071
Subject(s): DDC classification:
  • 518 23 K51
Contents:
1. Mathematical preliminaries -- 2. Computer arithmetic -- 3. Solution of nonlinear equations -- 4. Solving systems of linear equations -- 5. Selected topics in numerical linear algebra -- 6. Approximating functions -- 7. Numerical differentiation and integration -- 8. Numerical solution of ordinary differential equations -- 9. Numerical solution of partial differential equations -- 10. Linear programming and related topics -- 11. Optimization-- Bibliography-- Index.
Summary: This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudo code, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 518 K51 (Browse shelf(Opens below)) Available C26355
Total holds: 0

Includes bibliographical references and index.

1. Mathematical preliminaries --
2. Computer arithmetic --
3. Solution of nonlinear equations --
4. Solving systems of linear equations --
5. Selected topics in numerical linear algebra --
6. Approximating functions --
7. Numerical differentiation and integration --
8. Numerical solution of ordinary differential equations --
9. Numerical solution of partial differential equations --
10. Linear programming and related topics --
11. Optimization--
Bibliography--
Index.

This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudo code, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages.

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