An Introduction to Numerical Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book An Introduction to Numerical Analysis by Endre Süli, David F. Mayers, Cambridge University Press
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Author: Endre Süli, David F. Mayers ISBN: 9781139636902
Publisher: Cambridge University Press Publication: August 28, 2003
Imprint: Cambridge University Press Language: English
Author: Endre Süli, David F. Mayers
ISBN: 9781139636902
Publisher: Cambridge University Press
Publication: August 28, 2003
Imprint: Cambridge University Press
Language: English

Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency. The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour.

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Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency. The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour.

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