Numerical Analysis Using Sage

George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including "Fractional Differentiation Inequalities" (c) 2009, "Fuzzy Mathematics: Approximation Theory" (c) 2010, "Intelligent Systems: Approximation by Artificial Neural Networks" (c) 2014, "The History of Approximation Theory" (c) 2005, "Modern Differential Geometry in Gauge Theories" (c) 2006, and more. Razvan Alex Mezei received his PhD from the University of Memphis and currently holds an assistant professorship and Lenoir-Rhyne University, Hickory, North Carolina. He teaches mathematics as well as computer science/IT courses to undergraduates and is a computing sciences program coordinator. Mezei has extensive experience in computer programming and software development and has written several publications with George Anastassiou.

Preface.- 1. Fundamentals.- 2. Solving Nonlinear Equations.- 3. Polynomial Interpolation.- 4.Numerical Differentiation.- 5. Numerical Integration.- 6. Spline Interpolation.- 7. Numerical Methods for Differential Equations.- References.- Index.

"The book covers the basics of nonlinear root finding, numerical differentiation and integration, interpolation, and the numerical solution of initial value problems for ordinary differential equations. ... it should be accessible to any student with a background in single-variable calculus. ... Numerical Analysis Using Sage is a clearly written, accessible introduction to numerical analysis that seamlessly weaves together the mathematics and computer implementation of the numerical methods it covers." (Jason M. Graham, MAA Reviews, maa.org, May, 2016)