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Texts in Computational Science and Engineering

Scientific Computing

Vol. I - Linear and Nonlinear Equations

Authors: Trangenstein, John A.

  • Interactive HTML version uses 138 JavaScript programs for reader experimentation with algorithms
  • Combines analysis of well-posedness for scientific computing problems with perturbation analysis of related algorithms
  • Discusses the algorithms actually used by trusted software packages such as MATLAB, LAPACK and GSLIB
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eBook $69.99
price for USA in USD (gross)
  • ISBN 978-3-319-69105-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
  • ISBN 978-3-319-69104-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the subsequent two volumes. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 80 examples, 324 exercises, 77 algorithms, 35 interactive JavaScript programs, 391 references to software programs and 4 case studies.

Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB.

This book could be used for an introductory course in numerical methods, for either upper level undergraduates or first year graduate students.

Parts of the text could be used for specialized courses, such as principles of computer languages or numerical linear algebra.

About the authors

John Trangenstein is Professor of Mathematics Emeritus at Duke University in Durham North Carolina. He was a professor at Duke from 1991 to 2011. Previously he was a Mathematician in the Applied Mathematics Group at Lawrence Livermore National Laboratory from 1986 to 1991, a Research Specialist at Exxon Production Laboratory in Houston from 1981 to 1986, a Mathematician at S Cubed in San Diego from 1979 to 1981, and an Assistant Professor of Mathematics at the University of California at San Diego from 1975 to 1979. He received his PhD in Applied Mathematics from Cornell University in 1975, and his SB degree from the University of Chicago in 1972. He has authored two other book, with Cambridge University Press, namely Numerical Solution of Hyperbolic Partial Differential Equations (2009) and Numerical Solution of Elliptic and Parabolic Partial Differential Equations (2013).


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Table of contents (6 chapters)

  • Introduction to Scientific Computing

    Trangenstein, John A.

    Pages 1-27

  • Working with a Computer

    Trangenstein, John A.

    Pages 29-121

  • Linear Algebra

    Trangenstein, John A.

    Pages 123-289

  • Scientific Visualization

    Trangenstein, John A.

    Pages 291-327

  • Nonlinear Equations

    Trangenstein, John A.

    Pages 329-427

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-3-319-69105-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
  • ISBN 978-3-319-69104-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Scientific Computing
Book Subtitle
Vol. I - Linear and Nonlinear Equations
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
18
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-69105-3
DOI
10.1007/978-3-319-69105-3
Hardcover ISBN
978-3-319-69104-6
Series ISSN
1611-0994
Edition Number
1
Number of Pages
XXVI, 622
Number of Illustrations and Tables
11 b/w illustrations, 20 illustrations in colour
Topics