Validated Numerics: A Short Introduction to Rigorous Computations

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9780691147819: Validated Numerics: A Short Introduction to Rigorous Computations
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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

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

"Beyond obvious practical value, this material offers students an excellent opportunity to revisit and rethink some crucial, fundamental college mathematics." --Choice

"[T]his little book is a very important supplement to existing books on validated numerics. It is a must for researchers working in this field." --G. Alefeld, Mathematical Reviews

"The book contains a lot of exercises, various small programs written in MATLAB code, and four sections with numerous problems provided for experimenting on a computer. It is written at an elementary level corresponding to its aims. But it is also a pleasure for specialists to leaf through the book." --Gunter Mayer, Zentralblatt MATH

"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." --World Book Industry

L'autore:

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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Warwick Tucker
Editore: Princeton University Press (2011)
ISBN 10: 0691147817 ISBN 13: 9780691147819
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Descrizione libro Princeton University Press, 2011. Hardcover. Condizione: New. Codice articolo DADAX0691147817

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Descrizione libro Princeton University Press, 2011. Condizione: New. book. Codice articolo M0691147817

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Descrizione libro 2011. Hardcover. Condizione: New. Hardcover. 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 mat.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 152 pages. 0.363. Codice articolo 9780691147819

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Descrizione libro Princeton University Press, United States, 2011. Hardback. Condizione: New. New. Language: English . Brand New Book. 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. Codice articolo AAH9780691147819

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Warwick Tucker
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Descrizione libro Princeton University Press, United States, 2011. Hardback. Condizione: New. New. Language: English. Brand new Book. 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. Codice articolo AAH9780691147819

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Descrizione libro Princeton University Press, 2011. HRD. Condizione: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice articolo WP-9780691147819

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Descrizione libro Princeton University Press 2011-07-05, Princeton, N.J. |Woodstock, 2011. hardback. Condizione: New. Codice articolo 9780691147819

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Descrizione libro Princeton University Press. Hardback. Condizione: New. New copy - Usually dispatched within 2 working days. Codice articolo B9780691147819

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Descrizione libro 2011. Hardback. Condizione: NEW. 9780691147819 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Codice articolo HTANDREE01146698

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