TY - GEN AU - Süli, Endre AU - Mayers, David F. TI - Introduction to numerical analysis SN - 9780521007948 U1 - 518 SUL PY - 2014/// CY - Cambridge PB - Cambridge University Press KW - Mathematics KW - Numerical analysis KW - Linear Equations KW - Special Matrices KW - Polynomial Interpolation & Approximation N1 - Includes Appendix, Bibliographical References and Index N2 - 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. Class tested and based on a course taught by the authors at Oxford University Motivational and contextual material brings the subject alive Can be used as a reference by those working in other fields https://www.cambridge.org/in/universitypress/subjects/mathematics/numerical-analysis/introduction-numerical-analysis-1?format=PB&isbn=9780521007948 ER -