Scipy - Python library - Math tool - Begin

Introduction

Scientific Computing Tools for Python. Seen in Scipy.org.

Environment

Linux, CentOS 7 with KDE, python 2.7

Installation

 python -m pip install --upgrade pip
 # Do not use sudo for the next command
 pip install --user numpy scipy matplotlib ipython jupyter pandas sympy nose
 # change the environment
 vim ~/.bashrc
 # export PATH=$PATH:/home/leaf/.local/bin

A simple demo to solve a Bessel function

Bessel function:  most commonly, the canonical solutions y(x) of the differential equation. Seen in wiki.

Code (Python):

 from matplotlib.pyplot import *
 from numpy import *
 from scipy import special, optimize
 f = lambda x: -special.jv(3,x)
 sol = optimize.minimize(f, 1.0)
 x = linspace(0, 10, 5000)
 x
 plot(x, special.jv(3, x), '-', sol.x, -sol.fun, 'o')
 savefig('plot.png', dpi=96)

Result:

Simple case. Just for the beginning of applying Scipy.