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.
Preface.- 1 The first few steps.- 2 A few steps more.- 3 Loops and branching.- 4 Functions and the writing of code.- 5 Some more Python essentials.- 6 Computing integrals and testing code.- 7 Solving nonlinear algebraic equations.- 8 Solving ordinary differential equations.- 9 Solving partial differential equations.- A Installation and use of Python.- References.- Index.
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.
Preface.- 1 The first few steps.- 2 A few steps more.- 3 Loops and branching.- 4 Functions and the writing of code.- 5 Some more Python essentials.- 6 Computing integrals and testing code.- 7 Solving nonlinear algebraic equations.- 8 Solving ordinary differential equations.- 9 Solving partial differential equations.- A Installation and use of Python.- References.- Index.
Preface.- 1 The first few steps.- 2 A few steps more.- 3 Loops and branching.- 4 Functions and the writing of code.- 5 Some more Python essentials.- 6 Computing integrals and testing code.- 7 Solving nonlinear algebraic equations.- 8 Solving ordinary differential equations.- 9 Solving partial differential equations.- A Installation and use of Python.- References.- Index.
Svein Linge is a professor of modelling and simulation at
the University College of Southeast Norway and holds a Dr. Scient.
degree in biomechanics from the Norwegian School of Sport Sciences.
He works part-time at a Norwegian Center of Excellence: "Center for
Biomedical Computing", at Simula Research Laboratory, to which he
has been linked for the last 13 years. His main research interests
includes cerebrospinal fluid dynamics, cardiac electro-mechanics
and sport biomechanics. Over the last decade, Linge has been
particularly engaged in reforming the engineering education in
mathematics and physics to take advantage of computer programming
and simulation.
Hans Petter Langtangen (1962 - 2016) was a professor of
computer science at the University of Oslo. He was formerly a
professor of mechanics and was the Director of "Center for
Biomedical Computing", a Norwegian Center of Excellence at the
Simula Research Laboratory in Oslo. Langtangen has more than
100 scientific publications, including journal papers and many
books, e.g., the bestseller TCSE 6 "A Primer on Scientific
Programming with Python" (editions 1 - 5). He has also developed
open source and commercial software systems for computational
sciences.”
“This book merits careful study. It gives readers what they need to develop numeric and graphical solutions to problems in engineering, science, and mathematics: the necessary theoretical background, plus sufficient Python and a solid grasp of the programming process. Science and engineering students would obviously benefit from this book. It would also be useful to applied mathematics students and to professionals interested in learning Python or in seeing it applied to solve scientific problems.” (Edgar R. Chavez, Computing Reviews, December 7, 2021)
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