Programming For Computations - Python: A Gentle Introduction To Numerical Simulations With Python 3.6

Description

This book is published open access under a CC BY 4.0 license. This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style employed 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 students to write simple programs for solving common mathematical problems with numerical methods in the context of engineering and science courses. The emphasis is on generic algorithms, clean program design, the use of functions, and automatic tests for verification. Front Matter ....Pages i-xxiii The First Few Steps (Svein Linge, Hans Petter Langtangen)....Pages 1-38 A Few More Steps (Svein Linge, Hans Petter Langtangen)....Pages 39-58 Loops and Branching (Svein Linge, Hans Petter Langtangen)....Pages 59-77 Functions and the Writing of Code (Svein Linge, Hans Petter Langtangen)....Pages 79-102 Some More Python Essentials (Svein Linge, Hans Petter Langtangen)....Pages 103-130 Computing Integrals and Testing Code (Svein Linge, Hans Petter Langtangen)....Pages 131-174 Solving Nonlinear Algebraic Equations (Svein Linge, Hans Petter Langtangen)....Pages 175-201 Solving Ordinary Differential Equations (Svein Linge, Hans Petter Langtangen)....Pages 203-285 Solving Partial Differential Equations (Svein Linge, Hans Petter Langtangen)....Pages 287-309 Back Matter ....Pages 311-332