Validated Numerics A Short Introduction to Rigorous Computations
Tucker, Warwick
ISBN 10: 069124765X ISBN 13: 9780691247656
Published by Princeton Univ Pr, 2023
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152 pages. 9.00x6.00x0.50 inches. In Stock. Seller Inventory # 069124765X
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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
About the Author: 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.
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Title: Validated Numerics A Short Introduction to...
Publisher: Princeton Univ Pr
Publication Date: 2023
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Validated Numerics: A Short Introduction to Rigorous Computations
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Validated Numerics
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Paperback. Condition: New. 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. Seller Inventory # LU-9780691247656
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Validated Numerics: A Short Introduction to Rigorous Computations
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Validated Numerics: A Short Introduction to Rigorous Computations
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Validated Numerics
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ISBN 10: 069124765X
ISBN 13: 9780691247656
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Paperback. Condition: New. 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. Seller Inventory # LU-9780691247656
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Validated Numerics: A Short Introduction to Rigorous Computations
Published by
Princeton University Press, 2023
ISBN 10: 069124765X
ISBN 13: 9780691247656
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