# Numerical Analysis by Richard L. Burden Youngstown State University J. Douglas Faires Youngstown State University 9 edition

Thisbookwaswrittenforasequenceofcoursesonthetheoryandapplicationofnumerical approximation techniques. It is designed primarily for junior-level mathematics, science, andengineeringmajorswhohavecompletedatleastthestandardcollegecalculussequence. Familiarity with the fundamentals of linear algebra and differential equations is useful, but there is sufﬁcient introductory material on these topics so that courses in these subjects are not needed as prerequisites. PreviouseditionsofNumericalAnalysishavebeenusedinawidevarietyofsituations. In some cases, the mathematical analysis underlying the development of approximation techniques was given more emphasis than the methods; in others, the emphasis was reversed. The book has been used as a core reference for beginning graduate level courses in engineering and computer science programs and in ﬁrst-year courses in introductory analysis offered at international universities. We have adapted the book to ﬁt these diverse users without compromising our original purpose: To introduce modern approximation techniques; to explain how, why, and when they can be expected to work; and to provide a foundation for further study of numerical analysis and scientiﬁc computing. The book contains sufﬁcient material for atleast a full year of study ,but we expect many people to use it for only a single-term course. In such a single-term course, students learn to identify the types of problems that require numerical techniques for their solution and see examples of the error propagation that can occur when numerical methods are applied. They accurately approximate the solution of problems that cannot be solved exactly and learntypicaltechniquesforestimatingerrorboundsfortheapproximations.Theremainder of the text then serves as a reference for methods not considered in the course. Either the full-year or single-course treatment is consistent with the philosophy of the text

download it here