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

10.2 NumPy arrays and pandas dataframes

Let's start by just looking at an example of a  NumPy array:

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

It is displayed as:

[[1. 2. 3.]
[4. 5. 6.]]

And its elements are accessed by using indexes generated simply by counting rows and columns, for example, A[0,1].

This matrix can be converted to the pandas datatype DataFrame by keeping the same data and order but representing and accessing it in a different way:

import pandas as pd
A=array( [[ 1., 2., 3.],
[ 4., 5., 6.]] )
AF = pd.DataFrame(A)

This DataFrame object, which we will explain in more detail in this chapter, is displayed as


0 1 2
0 1.0 2.0 3.0
1 4.0 5.0 6.0

We see that a pandas dataframe has extra labels for the rows and columns called index and columns. These are the metadata of a dataframe.

Here, they coincide with NumPy's indexing, but that is not always so. The index and columns metadata allows the pandas dataframe to...