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

✍ Scribed by Svein Linge, Hans Petter Langtangen (auth.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 244
• Series: Texts in Computational Science and Engineering 15
• Edition: 1
• Category: Library

✦ Synopsis

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

✦ Subjects

Computational Science and Engineering;Numeric Computing;Mathematical Software;Numerical Analysis