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You searched IISERK - Title: African basins [electronic resource] / edited by R.C. Selley.
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Call Number
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519.4
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Author
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Stewart, G. W. (Gilbert W.)
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Title
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Afternotes on numerical analysis [electronic resource] : a series of lectures on elementary numerical analysis presented at the University of Maryland at College Park and recorded after the fact / G.W. Stewart.
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Publication
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Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1996.
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Material Info.
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1 electronic text (x, 200 p.) : ill., digital file.
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Summary Note
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This book presents the central ideas of modern numerical analysis in a vivid and straightforward fashion with a minimum of fuss and formality. Stewart designed this volume while teaching an upper-division course in introductory numerical analysis. To clarify what he was teaching, he wrote down each lecture immediately after it was given. The result reflects the wit, insight, and verbal craftmanship which are hallmarks of the author. Simple examples are used to introduce each topic, then the author quickly moves on to the discussion of important methods and techniques. With its rich mixture of graphs and code segments, the book provides insights and advice that help the reader avoid the many pitfalls in numerical computation that can easily trap an unwary beginner. Written by a leading expert in numerical analysis, this book is certain to be the one you need to guide you through your favorite textbook.
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Notes
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Includes bibliographical references (p. 187-189) and index.
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Notes
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Part One. Nonlinear equations. Lecture 1. By the dawn's early light -- Lecture 2. Newton's method -- Lecture 3. A quasi-Newton method -- Lecture 4. The Secant method -- Lecture 5. A hybrid method.
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Notes
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Part Two. Computer arithmetic. Lecture 6. Floating-point numbers -- Lecture 7. Computing sums -- Lecture 8. Cancellation.
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Notes
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Part Three. Linear equations. Lecture 9. Matrices, vectors, and scalars -- Lecture 10. Theory of linear systems -- Lecture 11. Memory considerations -- Lecture 12. Positive definite matrices -- Lecture 13. Inner-product form of the Cholesky Algorithm -- Lecture 14. Pivoting -- Lecture 15. Vector norms -- Lecture 16. The condition of linear systems -- Lecture 17. The wonderful residual: a project.
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Notes
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Part Four. Polynomial interpolation. Lecture 18. Quadratic interpolation -- Lecture 19. Synthetic division -- Lecture 20. Error in interpolation -- Part Five. Numerical integration and differentiation. Lecture 21. Numerical integration -- Lecture 22. The composite Simpson's Rule -- Lecture 23. The setting -- Lecture 24. Numerical differentiation and integration -- Bibliography.
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ISBN
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9781611971491 (electronic bk.)
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Subject
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Numerical analysis.
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Subject
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Vectors
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Subject
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Rounding error
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Subject
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Polynomial interpolation
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Subject
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Nonlinear equations
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Subject
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Floating-point arithmetic
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Added Entry
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Society for Industrial and Applied Mathematics.
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Date
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Year, Month, Day:01405141
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Link
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SIAM
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