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The book introduces numerical analysis, with a focus on the implementation of methods and algorithms to solve a variety of mathematical problems in use within a variety of applications. It applies programming in MATLAB and Python to a variety of numerical analysis tasks.
List of contents
Solving Linear Systems. Ill-conditioning and Regularization Techniques in solutions of linear systems. Solving a system of nonlinear equations. Solving the Eigenvalue Problem. Data Interpolation. Numerical Differentiation and Integration. Solving Systems of Linear Ordinary Differential Equations. Solving Systems of Nonlinear Ordinary Differential Equations. Non-standard Finite Difference Methods for Solving ODEs. Solving Optimization Problems: Linear Programming. Solving Optimization Problems: Nonlinear Programming. Solving Dynamical Optimization Problems
About the author
Eihab B. M. Bashier obtained his PhD in 2009 from the University of the Western Cape in South Africa. He is an associate professor of applied mathematics at the faculty of mathematical sciences and information technology, University of Khartoum, since 2013. Currently, he is an associate professor of applied Mathematics at the College of Arts and Applied Sciences at Dhofar University, Oman.
The research interests of Dr. Bashier are mainly in numerical methods for differential equations with applications to biology and in information and computer security with focus in cryptography. In 2011, Dr. Bashier won the African Union and the Third World Academy of Science (AU-TWAS) young scientists national award in basic sciences, technology and Innovation. Dr. Bashier is a reviewer for some international journals and a member of the IEEE and the EMS.
Summary
The book introduces numerical analysis, with a focus on the implementation of methods and algorithms to solve a variety of mathematical problems in use within a variety of applications. It applies programming in MATLAB and Python to a variety of numerical analysis tasks.
