Numerical Methods and Optimization (PDF)
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Initial training in pure and applied sciences tends to present problem-solving as the process of elaborating explicit closed-form solutions from basic principles, and then using these solutions in numerical applications. This approach is only applicable to very limited classes of problems that are simple enough for such closed-form solutions to exist. Unfortunately, most real-life problems are too complex to be amenable to this type of treatment. Numerical Methods and Optimization - A Consumer Guide presents methods for dealing with them.
Shifting the paradigm from formal calculus to numerical computation, the text makes it possible for the reader to
· discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems;
· understand the principles behind recognized algorithms used in state-of-the-art numerical software;
<· learn the advantages and limitations of these algorithms, to facilitate the choice of which pre-existing bricks to assemble for solving a given problem; and· acquire methods that allow a critical assessment of numerical results.
Numerical Methods and Optimization - A Consumer Guide will be of interest to engineers and researchers who solve problems numerically with computers or supervise people doing so, and to students of both engineering and applied math
ematics.
- Autor: Éric Walter
- 2014, 2014, 476 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 331907671X
- ISBN-13: 9783319076713
- Erscheinungsdatum: 22.07.2014
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Größe: 7.14 MB
- Ohne Kopierschutz
- Vorlesefunktion
“This book is all about the know-how of numerical analysis. If you want to implement numerical procedures and fancy the help of someone who knows what usually happens when something goes wrong, knows how to fix it, and can provide rules of thumb to deal with most of the situations encountered in practice, this book is made for you.” (Gérard Lebourg, Mathematical Reviews, August, 2015)
“This work is a reference on methods for numerical computation and optimization. … This book may be a useful resource for advanced students and researchers in a wide range of engineering and science disciplines. Summing Up: Recommended. Graduate students and researchers/faculty.” (B. Borchers, Choice, Vol. 52 (5), January, 2015)
“This is a very erudite survey of numerical methods. … The book teaches you how to analyze your problem and pick the best numerical method to solve it. It covers all the standard areas of numerical analysis.” (Allen Stenger, MAA Reviews, November, 2014)
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