Overview
- 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
Part of the book series: Compact Textbooks in Mathematics (CTM)
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Table of contents (10 chapters)
Keywords
About this book
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.
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Authors and Affiliations
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
Book Title: Elementary Numerical Mathematics for Programmers and Engineers
Authors: Gisbert Stoyan, Agnes Baran
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-319-44660-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-44659-2Published: 16 December 2016
eBook ISBN: 978-3-319-44660-8Published: 09 November 2016
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: IX, 220
Number of Illustrations: 17 b/w illustrations, 10 illustrations in colour
Topics: Numerical Analysis, Algorithms, Computational Science and Engineering