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Scientific Computing with Python

Scientific Computing with Python

By : Führer, Claus Fuhrer, Solem, Verdier
4.5 (15)
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Scientific Computing with Python

Scientific Computing with Python

4.5 (15)
By: Führer, Claus Fuhrer, Solem, 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)
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20
About Packt
22
References

15.2.6 Float comparisons

Two floating-point numbers should not be compared with the == comparison, because the result of a computation is often slightly off due to rounding errors. There are numerous tools to test the equality of floats for testing purposes.

First, allclose checks that two arrays are almost equal. It can be used in a test function, as shown:

self.assertTrue(allclose(computed, expected))

Here, self refers to a unittest.Testcase instance. There are also testing tools in the numpy package testing. These are imported by using:

import numpy.testing

Testing that two scalars or two arrays are equal is done using numpy.testing.assert_array_allmost_equal or numpy.testing.assert_allclose. These methods differ in the way they describe the required accuracy, as shown in the preceding table, Table 15.1.

 factorization decomposes a given matrix into a product of an orthogonal matrix  and an upper triangular...

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