Springer Undergraduate Texts in Mathematics and Technology

Numerical Analysis Using Sage

Authors: Anastassiou, George A., Mezei, Razvan

  • First numerical analysis textbook using Sage
  • Does not require prior knowledge of Python programming
  • Includes all Sage code for ease of use for students
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Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-16739-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-16738-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-38585-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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 SpringerLink.com.

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.

Reviews

“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)


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Table of contents (7 chapters)

  • Fundamentals

    Anastassiou, George A. (et al.)

    Pages 1-63

    Preview Buy Chapter 30,19 €
  • Solving Nonlinear Equations

    Anastassiou, George A. (et al.)

    Pages 65-115

    Preview Buy Chapter 30,19 €
  • Polynomial Interpolation

    Anastassiou, George A. (et al.)

    Pages 117-159

    Preview Buy Chapter 30,19 €
  • Numerical Differentiation

    Anastassiou, George A. (et al.)

    Pages 161-173

    Preview Buy Chapter 30,19 €
  • Numerical Integration

    Anastassiou, George A. (et al.)

    Pages 175-225

    Preview Buy Chapter 30,19 €

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-16739-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-16738-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-38585-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Analysis Using Sage
Authors
Series Title
Springer Undergraduate Texts in Mathematics and Technology
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-16739-8
DOI
10.1007/978-3-319-16739-8
Hardcover ISBN
978-3-319-16738-1
Softcover ISBN
978-3-319-38585-3
Series ISSN
1867-5506
Edition Number
1
Number of Pages
XII, 314
Number of Illustrations and Tables
2 b/w illustrations, 102 illustrations in colour
Topics