Introduction to Numerical Analysis (Texts in Applied Mathematics, No 12) [Hardcover]

R. Bulirsch (Author), J. Stoer (Author)

Book Description

ISBN-10: 038797878X | ISBN-13: 978-0387978789 | Publication Date: April 11, 1996 | Edition: 2nd

The book contains a large amount of information not found in standard textbooks. Written for the advanced undergraduate/beginning graduate student, it combines the modern mathematical standards of numerical analysis with an understanding of the needs of the computer scientist working on practical applications. Among its many particular features are: - fully worked-out examples; - many carefully selected and formulated problems; - fast Fourier transform methods; - a thorough discussion of some important minimization methods; - solution of stiff or implicit ordinary differential equations and of differential algebraic systems; - modern shooting techniques for solving two-point boundary-value problems; - basics of multigrid methods. Included are numerous references to contemporary research literature.

Editorial Reviews

Review

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) --This text refers to an alternate Hardcover edition.

Language Notes

Text: English (translation)
Original Language: German

Product Details

• Hardcover: 674 pages
• Publisher: Springer; 2nd edition (April 11, 1996)
• Language: English
• ISBN-10: 038797878X
• ISBN-13: 978-0387978789
• Product Dimensions: 9.5 x 6.4 x 1.4 inches
• Shipping Weight: 2.4 pounds
• Average Customer Review: 2.8 out of 5 stars  See all reviews (6 customer reviews)
• Amazon Best Sellers Rank: #1,215,911 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

12 of 13 people found the following review helpful:

3.0 out of 5 stars Ok for reference, October 1, 2005

By 

S. Penny "SP" (College Park, MD) - See all my reviews
(REAL NAME)   

This review is from: Introduction to Numerical Analysis (Hardcover)

This text makes a decent reference book, but I find that the introduction of new ideas is not accompanied with sufficient explanation or motivation. I find myself continuously refering back to Burden and Faires, "Numerical Analysis" instead for more clear and concise descriptions of the same concepts. While our professor required the book for the course (because it is on the book list for qualifying exams), he rarely refers to it. I have accumulated about 5 numerical analysis books now, and I would recommend Burden and Faires, "Numerical Analysis" (7th edition) as the best for senior undergradute to 1st-year graduate level, as it has the best combination of theory, explanation, and examples. Stoer presents slightly more theoretical motivation to problems, which I think would be more interesting the second time around, but not as an 'Introduction'.

13 of 16 people found the following review helpful:

4.0 out of 5 stars A classic, but don't expect just recipes, this is maths, October 1, 1998

By A Customer

This review is from: Introduction to Numerical Analysis (Texts in Applied Mathematics, No 12) (Hardcover)

A classic. However this book is not a "cookbook" of numerical recipes, rather it places a strong emphasys in the numerical properties of algorithms. Good all-rounder and good sections on linear systems and interpolation. You'll probably want to complement this book with specialists on matrix computations, ODE, PDE and optimisation.

1 of 1 people found the following review helpful:

3.0 out of 5 stars So many typos!, September 6, 2009

By 

Math Geek (Texas) - See all my reviews

This review is from: Introduction to Numerical Analysis (Hardcover)

This book is decent as a reference book but it rather dense for someone who is learning the material the first time. (I'm using this book for a graduate course after having seen much of the material as an undergraduate and it's still a little difficult to read.)

It also has an inexcusable amount of typos in it. By the third edition, this really shouldn't be a problem.