© 2015

Numerical Analysis Using Sage

  • First numerical analysis textbook using Sage

  • Does not require prior knowledge of Python programming

  • Includes all Sage code for ease of use for students


Table of contents

  1. Front Matter
    Pages i-xii
  2. George A. Anastassiou, Razvan A. Mezei
    Pages 1-63
  3. George A. Anastassiou, Razvan A. Mezei
    Pages 65-115
  4. George A. Anastassiou, Razvan A. Mezei
    Pages 117-159
  5. George A. Anastassiou, Razvan A. Mezei
    Pages 161-173
  6. George A. Anastassiou, Razvan A. Mezei
    Pages 175-225
  7. George A. Anastassiou, Razvan A. Mezei
    Pages 227-261
  8. George A. Anastassiou, Razvan A. Mezei
    Pages 263-311
  9. George A. Anastassiou, Razvan A. Mezei
    Pages E1-E1
  10. Back Matter
    Pages 313-314

About this book


This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. The primary aim of this text is to simplify understanding of the theories and ideas from a numerical analysis/numerical methods course via a modern programming language like Sage. Aside from the presentation of fundamental theoretical notions of numerical analysis throughout the text, each chapter concludes with several exercises that are oriented to real-world application.  Answers may be verified using Sage. 

The presented code, written in core components of Sage, are backward compatible, i.e., easily applicable to other software systems such as Mathematica®.  Sage is  open source software and uses Python-like syntax. Previous Python programming experience is not a requirement for the reader, though familiarity with any programming language is a plus.  Moreover, the code can be written using any web browser and is therefore useful with Laptops, Tablets, iPhones, Smartphones, etc.  All Sage code that is presented in the text is openly available on


Sage Math algorithms Sage numerical analysis Sage python algorithms python syntax textbook adoption

Authors and affiliations

  1. 1.Department of Mathematical SciencesThe University of MemphisMemphisUSA
  2. 2.Mathematics & Computing SciencesLenoir-Rhyne UniversityHickoryUSA

About the authors

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.

Bibliographic information

  • Book Title Numerical Analysis Using Sage
  • Authors George A. Anastassiou
    Razvan A. Mezei
  • Series Title Springer Undergraduate Texts in Mathematics and Technology
  • Series Abbreviated Title Spr.Undergrad.Text.Math.,Technology
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-16738-1
  • Softcover ISBN 978-3-319-38585-3
  • eBook ISBN 978-3-319-16739-8
  • Series ISSN 1867-5506
  • Series E-ISSN 1867-5514
  • Edition Number 1
  • Number of Pages XII, 314
  • Number of Illustrations 2 b/w illustrations, 102 illustrations in colour
  • Topics Numerical Analysis
    Mathematical Software
  • Buy this book on publisher's site
Industry Sectors
Energy, Utilities & Environment


“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,, May, 2016)