Programming for Computations - Python
A Gentle Introduction to Numerical Simulations with Python

Authors: Svein Linge, Hans Petter Langtangen



Easy-to-read text offering a gentle introduction to the necessary mathematics and computer science concepts

Focuses on explaining all details of how to construct programs to solve mathematical problems

Further emphasizes verification procedures and how to embed them in automatic test frameworks

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students.

The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Table of contents

Front Matter
Pages i-xvi

The First Few Steps
Pages 1-28

Basic Constructions
Pages 29-53

Computing Integrals
Pages 55-93

Solving Ordinary Differential Equations
Pages 95-160

Solving Partial Differential Equations
Pages 161-183

Solving Nonlinear Algebraic Equations
Pages 185-208

Back Matter
Pages 209-232

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