Elementary Numerical Mathematics for Programmers and Engineers
Authors: Gisbert Stoyan, Agnes Baran
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
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.
Table of contents
Front Matter
Floating Point Arithmetic
Norms, Condition Numbers
Solution of Systems of Linear Equations
The Least Squares Problem
Eigenvalue Problems
Interpolation
Nonlinear Equations and Systems
Numerical Integration
Numerical Solution of Ordinary Differential Equations
Practical Error Estimation
Back Matter
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