Book Image

Scientific Computing with Python - Second Edition

By : Claus Führer, Jan Erik Solem, Olivier Verdier
Book Image

Scientific Computing with Python - Second Edition

By: Claus Führer, Jan Erik Solem, Olivier Verdier

Overview of this book

Python has tremendous potential within the scientific computing domain. This updated edition of Scientific Computing with Python features new chapters on graphical user interfaces, efficient data processing, and parallel computing to help you perform mathematical and scientific computing efficiently using Python. This book will help you to explore new Python syntax features and create different models using scientific computing principles. The book presents Python alongside mathematical applications and demonstrates how to apply Python concepts in computing with the help of examples involving Python 3.8. You'll use pandas for basic data analysis to understand the modern needs of scientific computing, and cover data module improvements and built-in features. You'll also explore numerical computation modules such as NumPy and SciPy, which enable fast access to highly efficient numerical algorithms. By learning to use the plotting module Matplotlib, you will be able to represent your computational results in talks and publications. A special chapter is devoted to SymPy, a tool for bridging symbolic and numerical computations. By the end of this Python book, you'll have gained a solid understanding of task automation and how to implement and test mathematical algorithms within the realm of scientific computing.
Table of Contents (23 chapters)
20
About Packt
22
References

3.2 A quick glance at the concept of arrays

The NumPy package offers arrays, which are container structures for manipulating vectors, matrices, or even higher-order tensors in mathematics. In this section, we point out the similarities between arrays and lists. But arrays deserve a broader presentation, which will be given in Chapter 4: Linear Algebra  Arrays, and Chapter 5: Advanced Array Concepts.

Arrays are constructed from lists by the function array :

v = array([1.,2.,3.])
A = array([[1.,2.,3.],[4.,5.,6.]])

To access an element of a vector, we need one index, while an element of a matrix is addressed by two indexes:

v[2]     # returns 3.0
A[1,2]   # returns 6.0

At first glance, arrays are similar to lists, but be aware that they are different in a fundamental way, which can be explained by the following points:

  • Access to array data corresponds to that of lists, using square brackets and slices. But for arrays representing matrices...