Overview
This 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 numerics * Requires no advanced mathematics or programming skills * Features many examples, exercises, and computer labs * Includes code snippets that illustrate implementation * Suitable as a textbook for graduate students and advanced undergraduates
Full Product Details
Author: Warwick Tucker
Publisher: Princeton University Press
Imprint: Princeton University Press
Dimensions:
Width: 15.20cm
, Height: 1.50cm
, Length: 23.50cm
Weight: 0.340kg
ISBN: 9780691147819
ISBN 10: 0691147817
Pages: 152
Publication Date: 25 July 2011
Audience:
College/higher education
,
Professional and scholarly
,
Postgraduate, Research & Scholarly
,
Undergraduate
Format: Hardback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Language: English
Reviews
Beyond obvious practical value, this material offers students an excellent opportunity to revisit and rethink some crucial, fundamental college mathematics. -- Choice
Beyond obvious practical value, this material offers students an excellent opportunity to revisit and rethink some crucial, fundamental college mathematics. Choice
Author Information
Warwick Tucker is professor of mathematics and principal investigator for the Computer-Aided Proofs in Analysis (CAPA) Group at Uppsala University in Sweden. He has been honored with several awards, including the European Mathematical Society's Prize for Distinguished Contributions in Mathematics, the R. E. Moore Prize for Applications of Interval Analysis, and the Swedish Mathematical Society's Wallenberg Prize.
