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

4.4.1 Basic array slicing

Slices are similar to those of lists (see also Section 3.1.1: Slicing) except that they might now be in more than one dimension:

  • M[i,:] is a vector filled by the row  of .
  • M[:,j] is a vector filled by the column  of .
  • M[2:4,:] is a slice of 2:4 on the rows only.
  • M[2:4,1:4] is a slice of rows and columns.

The result of matrix slicing is given in the following Figure 4.1:

Figure 4.1: The result of matrix slicing

If you omit an index or a slice, NumPy assumes you are taking rows only. M[3] is a vector that is a view on the third row of and M[1:3] is a matrix that is a view on the second and third rows of .

Changing the elements of a slice affects the entire array (see also Section 5.1: Array views and copies):

v = array([1., 2., 3.])
v1 = v[:2] # v1 is array([1., 2.])
v1[0] = 0. # if v1 is changed ...
v # ... v is changed too: array([0., 2., 3.])

General slicing rules...