
Introduction to Numerical Analysis and Scientific Computing
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"... an introduction to basic topics of numerical analysis which can be covered in a one-semester course for students of Mathematics, Natural Sciences or Engineering. The topics covered include finding roots of nonlinear equations using the bisection method, Newton's method and the secant method; the Gaussian elimination method for solving linear systems; function interpolation and fitting; numerical differentiation and integration; and numerical methods for ordinary differential equations. The methods are introduced and their convergence and stability are discussed in some details. It also includes a chapter on computer number systems and floating point arithmetic. Computer codes written in MATLAB are also included. This book is suitable for undergraduate students and people who begin to learn about numerical analysis. Exercises and computer projects provided at the end of each chapter can help students to practice computational and programming skills."-Trung Thanh Nguyen, in Zentralblatt MATH 1281
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Persons
Dolly Khoueiri Fayyad received her BSc and master's degrees from the American University of Beirut and her PhD degree from the University of Reims in France under the supervision of Professor Nabil Nassif. After earning her doctorate degree and before becoming a faculty member in the Mathematics Department of the American University of Beirut, she taught at the University of Louvain-la-Neuve in Belgium and then in the Sciences Faculty of Lebanon National University. Simultaneously, Dr. Fayyad has conducted research on the numerical solution of time-dependent partial differential equations and more particularly on semi-linear parabolic equations. She has also supervised several master's theses in her research areas.
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