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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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