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

Transpose

A special form of reshaping is transposing. It just switches the two shape elements of the matrix. The transpose of a matrix  is a matrix  such that

which is resolved in the following way:

A = ...
shape(A) # (3,4)

B = A.T  # A transpose
shape(B) # (4,3)

transpose does not copy: transposition is very similar to reshaping. In particular, it does not copy the data either and just returns a view on the same array: 

A= array([[ 1., 2.],[ 3., 4.]]) 
B=A.T A[1,1]=5.
B[1,1] # 5.0

Transposing a vector makes no sense since vectors are tensors of one dimension, that is, functions of one variable  the index. NumPy will, however, comply and return exactly the same object:

v = array([1., 2., 3.])
v.T # exactly the same vector!

What you have in mind when you want to transpose a vector is probably to create a row or column matrix. This is done using reshape:

v.reshape(-1, 1) # column matrix containing v
v.reshape(1, -1) # row matrix...