Validated Numerics

A Short Introduction to Rigorous Computations

Nonfiction, Science & Nature, Mathematics, Applied, Computers, Advanced Computing, Computer Science, General Computing
Cover of the book Validated Numerics by Warwick Tucker, Princeton University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Warwick Tucker ISBN: 9781400838974
Publisher: Princeton University Press Publication: July 5, 2011
Imprint: Princeton University Press Language: English
Author: Warwick Tucker
ISBN: 9781400838974
Publisher: Princeton University Press
Publication: July 5, 2011
Imprint: Princeton University Press
Language: English

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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Princeton University Press

Cover of the book The End of the West by Warwick Tucker
Cover of the book Labor Markets and Business Cycles by Warwick Tucker
Cover of the book Nature by Warwick Tucker
Cover of the book Love, Money, and Parenting by Warwick Tucker
Cover of the book That Eminent Tribunal by Warwick Tucker
Cover of the book Welcome to the Universe by Warwick Tucker
Cover of the book The Copyright Wars by Warwick Tucker
Cover of the book Failing in the Field by Warwick Tucker
Cover of the book The End of the West: The Once and Future Europe by Warwick Tucker
Cover of the book Taken for Granted by Warwick Tucker
Cover of the book Creative Destruction by Warwick Tucker
Cover of the book When They Severed Earth from Sky by Warwick Tucker
Cover of the book The Fate of Rome by Warwick Tucker
Cover of the book Scurvy by Warwick Tucker
Cover of the book For Love of the Prophet by Warwick Tucker
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy