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Validated Numerics - A Short Introduction to Rigorous Computations (Paperback)
Loot Price: R943
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Validated Numerics - A Short Introduction to Rigorous Computations (Paperback)
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A comprehensive, self-contained primer on validated numerics 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
General
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