Validated Numerics
BUY / COMPRA:
Validated Numerics
A Short Introduction to Rigorous Computations
Princeton University Press
ISBN: 9780691247656
Fecha de Publicación:
2023 June 6
Precio: $45.00
Breve Descripción
Este libro de texto proporciona una introducción completa a la teoría y la práctica de los números validados, un nuevo campo emergente que combina las fortalezas de la computación científica y las matemáticas puras. En numerosos campos que van desde la farmacéutica y la ingeniería hasta la predicción meteorológica y la robótica, los cálculos rápidos y precisos son esenciales.
Breve descrição
Este livro de texto fornece uma introdução completa à teoria e à prática dos números validados, um novo campo emergente que combina as fortalezas da computação científica e as matemáticas puras. Muitos campos que vão desde a farmacêutica e a engenharia até a previsão meteorológica e a robótica, os cálculos rápidos e precisos são essenciais.
Full description
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.
Formal Science
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