Afternotes on numerical analysis. A series of lectures on elementary numerical analysis presented at the University of Maryland at College Park and recorded after the fact. (English) Zbl 0844.65002
Other Titles in Applied Mathematics. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. x, 200 p. (1996).
As the author explains in the preface, this book is designed to clarify what he was teaching in an introductory course on elementary numerical analysis. He decided to write down each lecture immediately after it was given while it was still fresh in his mind. These resulting “Afternotes” are a useful supplement for people interested in studying or teaching numerical analysis for the first time.
The contents of the six parts of this well-written volume cover the basic topics of classical and modern numerical analysis and are as follows: 1. Nonlinear equations (5 lectures), 2. Floating point arithmetic (3 lectures), 3. Linear equations (9 lectures), 4. Polynomial interpolation (3 lectures), 5. Numerical integration (3 lectures), 6. Numerical differentiation (1 lecture).
The presentation of the material is elementary, extremely clear and supported by properly chosen examples of good didactic value.
The contents of the six parts of this well-written volume cover the basic topics of classical and modern numerical analysis and are as follows: 1. Nonlinear equations (5 lectures), 2. Floating point arithmetic (3 lectures), 3. Linear equations (9 lectures), 4. Polynomial interpolation (3 lectures), 5. Numerical integration (3 lectures), 6. Numerical differentiation (1 lecture).
The presentation of the material is elementary, extremely clear and supported by properly chosen examples of good didactic value.
Reviewer: L.Gatteschi (Torino)
MSC:
65-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis |
65Hxx | Nonlinear algebraic or transcendental equations |
65Fxx | Numerical linear algebra |
65G50 | Roundoff error |
65Dxx | Numerical approximation and computational geometry (primarily algorithms) |