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© 2016

Elementary Numerical Mathematics for Programmers and Engineers

Benefits

  • Covers the basics of numerical methods, while avoiding the definition-theorem-proof style

  • Includes exercises in MATLAB

  • Provides numerical examples in order to promote reader comprehension

  • Presents material about practical error estimation

Textbook

Part of the Compact Textbooks in Mathematics book series (CTM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Gisbert Stoyan, Agnes Baran
    Pages 1-14
  3. Gisbert Stoyan, Agnes Baran
    Pages 15-35
  4. Gisbert Stoyan, Agnes Baran
    Pages 37-67
  5. Gisbert Stoyan, Agnes Baran
    Pages 69-84
  6. Gisbert Stoyan, Agnes Baran
    Pages 85-109
  7. Gisbert Stoyan, Agnes Baran
    Pages 111-133
  8. Gisbert Stoyan, Agnes Baran
    Pages 135-160
  9. Gisbert Stoyan, Agnes Baran
    Pages 161-183
  10. Gisbert Stoyan, Agnes Baran
    Pages 185-209
  11. Gisbert Stoyan, Agnes Baran
    Pages 211-216
  12. Back Matter
    Pages 217-220

About this book

Introduction

This book covers the basics of numerical methods, while avoiding the definition-theorem-proof style and instead focusing on numerical  examples and simple pseudo-codes.

The book is divided into ten chapters. Starting with floating number calculations and continuing up to ordinary differential equations, including "Euler backwards". The final chapter discusses practical error estimations. Exercises (including several in MATLAB) are provided at the end of each chapter. Suitable for readers with minimal mathematical knowledge, the book not only offers an elementary introduction to numerical mathematics for programmers and engineers but also provides supporting material for students and teachers of mathematics.

Keywords

65-01, 65-04 numerical analysis Gaussian elimination least squares eigenvalue problems interpolation nonlinear equations numerical integration practical error estimation

Authors and affiliations

  1. 1.Faculty of InformaticsELTE UniversityBudapestHungary
  2. 2.Faculty of InformaticsUniversity of DebrecenDebrecenHungary

About the authors

Gisbert Stoyan worked for more than 10 years on industrial problems at the WIAS in Berlin and was teaching numerical mathematics at ELTE University (Budapest, Hungary) for over 30 years. He has written research papers mostly on the numerical solution of partial differential equations. A three-volume textbook published in Hungarian brings together his experiences in areas including (along with the basic topics like numerical linear algebra, nonlinear equations) strongly stable methods for ODEs, multigrid algorithms, finite element praxis and theory, finite elements for Navier-Stokes equations, and methods for first-order hyperbolic equations.


Agnes Baran received her PhD in Mathematics in 2008 at the University of Debrecen. Her doctoral thesis on high-order finite element methods for Stokes equations was supervised by Gisbert Stoyan. Since 2008, she works as an Assistant Professor at the Faculty of Informatics at the the University of Debrecen where she teaches courses on numerical analysis for students of Mathematics and Computer Science.

Bibliographic information

Industry Sectors
Energy, Utilities & Environment
Engineering

Reviews

“The book is well-written and the typesetting is attractive. … Elementary Numerical Mathematics for Programmers and Engineers covers the standard topics well. Results are never simply stated and the main ideas are always fleshed out either through derivations or highly insightful examples. The authors also use clear and consistent notation throughout the book. I would particularly recommend this book to someone who is trying to learn numerical mathematics independently without the help of an instructor.” (Jason M. Graham, MAA Reviews, maa.org, February, 2017)