Springer Undergraduate Mathematics Series

Numerical Linear Algebra

A Concise Introduction with MATLAB and Julia

Authors: Bornemann, Folkmar

Free Preview
  • Interactive, compact textbook with links to interesting contributions
  • Introduces algorithmic-numerical thinking using the linear algebra to students of mathematics from the second semester onwards
  • Offers a focused introduction to error analysis and perturbation theory
  • Includes complete programs and numeric examples in MATLAB and Julia
see more benefits

Buy this book

eBook $19.99
$44.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-319-74222-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $27.99
$59.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-319-74221-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally – in an appendix – in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelor's degree in mathematics.

About the authors

Folkmar Bornemann is Professor for Numerical Analysis and Scientific Computing at the Technical University of Munich.

Table of contents (5 chapters)

Table of contents (5 chapters)
  • Computing with Matrices

    Pages 1-19

    Bornemann, Folkmar

  • Matrix Factorization

    Pages 21-37

    Bornemann, Folkmar

  • Error Analysis

    Pages 39-67

    Bornemann, Folkmar

  • Least Squares

    Pages 69-74

    Bornemann, Folkmar

  • Eigenvalue Problems

    Pages 75-97

    Bornemann, Folkmar

Buy this book

eBook $19.99
$44.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-319-74222-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $27.99
$59.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-319-74221-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Numerical Linear Algebra
Book Subtitle
A Concise Introduction with MATLAB and Julia
Authors
Translated by
Simson, W.
Series Title
Springer Undergraduate Mathematics Series
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-74222-9
DOI
10.1007/978-3-319-74222-9
Softcover ISBN
978-3-319-74221-2
Series ISSN
1615-2085
Edition Number
1
Number of Pages
X, 153
Number of Illustrations
1 illustrations in colour
Topics