Book Image

Scientific Computing with Python 3

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

Scientific Computing with Python 3

By: Claus Führer, Jan Erik Solem, Olivier Verdier

Overview of this book

Python can be used for more than just general-purpose programming. It is a free, open source language and environment that has tremendous potential for use within the domain of scientific computing. This book presents Python in tight connection with mathematical applications and demonstrates how to use various concepts in Python for computing purposes, including examples with the latest version of Python 3. Python is an effective tool to use when coupling scientific computing and mathematics and this book will teach you how to use it for linear algebra, arrays, plotting, iterating, functions, polynomials, and much more.
Table of Contents (23 chapters)
Scientific Computing with Python 3
Credits
About the Authors
About the Reviewer
www.PacktPub.com
Acknowledgement
Preface
References

Exercises


Ex. 1 → Execute the following statements:

    L = [1, 2]
    L3 = 3*L
  1. What is the content of L3?
  2. Try to predict the outcome of the following commands:
          L3[0]
          L3[-1]
          L3[10]
  3. What does the following command do?
           L4 = [k**2 for k in L3]
  4. Concatenate L3 and L4 to a new list L5.

Ex. 2 → Use the range command and a list comprehension to generate a list with 100 equidistantly spaced values between 0 and 1.

Ex. 3 → Assume that the following signal is stored in a list:

    L = [0,1,2,1,0,-1,-2,-1,0]

What is the outcome of:

L[0]
L[-1]
L[:-1]
L + L[1:-1] + L
L[2:2] = [-3]
L[3:4] = []
L[2:5] = [-5]

Do this exercise by inspection only, that is, without using your Python Shell.

Ex. 4 → Consider the Python statements:

L = [n-m/2 for n in range(m)]
ans = 1 + L[0] + L[-1]

and assume that the variable m has been previously assigned an integer value. What is the value of ans? Answer this question without executing the statements in Python...