- Tapa blanda: 764 páginas
- Editor: Springer; Edición: Softcover of Or (19 de febrero de 2010)
- Colección: Texts in Applied Mathematics
- Idioma: Inglés
- ISBN-10: 144193006X
- ISBN-13: 978-1441930064
- Valoración media de los clientes: Sé el primero en opinar sobre este producto
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Introduction to Numerical Analysis (Texts in Applied Mathematics) (Inglés) Tapa blanda – 19 feb 2010
Descripción del producto
From the reviews of the third edition:
"This is the third edition of a famous work on the basics of numerical analysis. It is a well-written textbook for advanced undergraduate/beginning graduate students containing both classical methods and modern approaches to numerical mathematics. The theory is illustrated by many interesting examples, and carefully selected exercises lead the reader to a better understanding of the topics discussed. … The third edition contains new material and several improved passages and will be useful also for those who already use the previous editions." (European Mathematical Society Newsletter, September, 2003)
"This is the third edition of a textbook first published in 1980. It is intended as a comprehensive introduction to … numerical analysis for the final year undergraduate or beginning graduate student. … As a reference work it is clearly organized and the table of contents … makes it easier to refer to individual sections. … it will serve both as an invaluable reference and as a means to acquire some more theoretical background … ." (Gerry Leversha, The Mathematical Gazette, Vol. 88 (512), 2004)
"Among the book’s many particular features … we would like to emphasize the excellent presentation of the following topics: fast Fourier transform methods, thorough discussion of the most important minimization methods, solution of stiff or implicit ordinary differential equations, solution of differential algebraic systems, basics of multigrid methods. … This … makes the present well-written book very profitable for every reader interested in or working on problems of Numerical Analysis." (Ferenc Móricz, Acta Scientiarum Mathematicarum, Vol. 69, 2003)
Reseña del editor
New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems
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I have some of the books in several editions, as happens with this book from Stoer & Bulirsch (I have the 2nd and 3rd eds. of S&B). It isn't an easy read, and I remember having had some "viscous friction" in getting into the notation, a minor annoyment quickly surpassed. But when I had to jump into theorem proofs and fine tuning of algorithms, this book was the preferred. I recommend the chapters on Linear Systems, on solving Nonlinear Equations and on solving Ordinary Differential Equations, which I "used" a lot. This last 3rd edition already has some material about solving Linear Systems of equations with Krylov Space methods, such as GMRES.
As happens with many books, it can be complemented with texts offering a different point of view on Numerical Analysis. I recommend the classics from Hamming Numerical Methods for Scientists and Engineers, from Lanczos Applied Analysis, from Dahlquist and Bjork Numerical Methods, from Atkinson An Introduction to Numerical Analysis, and for electrical engineering CAD the excelent text from Vlach and Singhal Computer Methods for Circuit Analysis and Design (Electrical Engineering), (the old "Circuit Simulation Kama Sutra" from Chua and Lin, ISBN 0131654152, is no longer linkable, but deserves to be remembered here and should be reprinted, e.g by Dover books...). Of course the book from Press et al. Numerical Recipes 3rd Edition: The Art of Scientific Computing has its place, but due to the algorithm descriptions and organization, not to the code.
Compared with these texts, the book from S&B has the solid theory and sound foundation of the methods, as also has the book from Dahlquist which, however, is a bit dated. If you want a Numerical Analysis text that saves you from bad weather, at all times, get S&B from the Numerical Analysis German school which, in recent years gave us excellent texts on the solution of ODES, of DAEs and of PDEs in a broad range of science and engineering domains.
It also has an inexcusable amount of typos in it. By the third edition, this really shouldn't be a problem.