Validated Numerics: A Short Introduction to Rigorous Computations
By:
Sign Up Now!
Already a Member? Log In
You must be logged into Bookshare to access this title.
Learn about membership options,
or view our freely available titles.
- Synopsis
- A comprehensive, self-contained primer on validated numericsThis textbook provides a comprehensive introduction to the theory and practice of validated numerics, an emerging new field that combines the strengths of scientific computing and pure mathematics. In numerous fields ranging from pharmaceutics and engineering to weather prediction and robotics, fast and precise computations are essential. Based on the theory of set-valued analysis, a new suite of numerical methods is developed, producing efficient and reliable solvers for numerous problems in nonlinear analysis. Validated numerics yields rigorous computations that can find all possible solutions to a problem while taking into account all possible sources of error—fast, and with guaranteed accuracy.Validated Numerics offers a self-contained primer on the subject, guiding readers from the basics to more advanced concepts and techniques. This book is an essential resource for those entering this fast-developing field, and it is also the ideal textbook for graduate students and advanced undergraduates needing an accessible introduction to the subject. Validated Numerics features many examples, exercises, and computer labs using MATLAB/C++, as well as detailed appendixes and an extensive bibliography for further reading.Provides a comprehensive, self-contained introduction to validated numericsRequires no advanced mathematics or programming skillsFeatures many examples, exercises, and computer labsIncludes code snippets that illustrate implementationSuitable as a textbook for graduate students and advanced undergraduates
- Copyright:
- 2011
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 152 Pages
- ISBN-13:
- 9781400838974
- Related ISBNs:
- 9780691247656, 9780691147819
- Publisher:
- Princeton University Press
- Date of Addition:
- 02/07/24
- Copyrighted By:
- Princeton University Press
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Computers and Internet, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.