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Mathematics - Computational Science & Engineering | A Primer on Scientific Programming with Python

A Primer on Scientific Programming with Python

Langtangen, Hans Petter

3rd ed. 2012, XXXII, 798 p. 79 illus., 30 illus. in color.


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  • Example-oriented text with all applications taken from science and engineering
  • Aimed at newcomers to programming and Python, but proved to be useful for professionals too
  • All examples are accompanied by complete program codes, which can be modified to the reader's needs
  • Covers both Matlab-style "simple" programming and object-oriented programming
  • Demonstrates how Python can be an alternative to Matlab in scientific computing

The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology, and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science.


Content Level » Upper undergraduate

Keywords » Monte Carlo simulation - Python programming - numerical calculus - numerical methods - object-oriented programming - ordinary differential equations - vectorization

Related subjects » Computational Science & Engineering - Software Engineering - Theoretical, Mathematical & Computational Physics - Theoretical Computer Science

Table of contents 

Preface.- Computing with Formulas.- Loops and Lists.- Functions and Branching.- User Input and Error Handling.- Array Computing and Curve Plotting.- Dictionaries and Strings.- Introduction to Classes.- Random Numbers and Simple Games.- Object-Oriented Programming.- Sequences and Difference Equations.- Introduction to Discrete Calculus.- Introduction to Differential Equations.- A Complete Differential Equation Project.- Programming of Differential Equations.- Debugging.- Migrating Python to Compiled Code.- Technical Topics.- Bibliography.- Index.

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