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  • Book Overview & Buying Learning SciPy for Numerical and Scientific Computing Second Edition
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Learning SciPy for Numerical and Scientific Computing Second Edition

Learning SciPy for Numerical and Scientific Computing Second Edition - Second Edition

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Learning SciPy for Numerical and Scientific Computing Second Edition

Learning SciPy for Numerical and Scientific Computing Second Edition

4.3 (10)
Buy this Book

Overview of this book

This book targets programmers and scientists who have basic Python knowledge and who are keen to perform scientific and numerical computations with SciPy.
Table of Contents (10 chapters)
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Preface
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Preface
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What this book covers
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What you need for this book
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Who this book is for
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Conventions
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Reader feedback
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Customer support
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1
1. Introduction to SciPy
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1. Introduction to SciPy
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What is SciPy?
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Installing SciPy
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SciPy organization
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How to find documentation
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Scientific visualization
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How to open IPython Notebooks
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Summary
2
2. Working with the NumPy Array As a First Step to SciPy
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2. Working with the NumPy Array As a First Step to SciPy
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Object essentials
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Using datatypes
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Indexing and slicing arrays
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The array object
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Array routines
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Summary
3
3. SciPy for Linear Algebra
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3. SciPy for Linear Algebra
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Vector creation
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Vector operations
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Creating a matrix
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Matrix methods
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Summary
4
4. SciPy for Numerical Analysis
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4. SciPy for Numerical Analysis
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The evaluation of special functions
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Convenience and test functions
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Univariate polynomials
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The gamma function
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The Riemann zeta function
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Airy and Bairy functions
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The Bessel and Struve functions
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Other special functions
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Interpolation
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Regression
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Optimization
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Integration
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Ordinary differential equations
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Lorenz attractors
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Summary
5
5. SciPy for Signal Processing
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5. SciPy for Signal Processing
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Discrete Fourier Transforms
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Signal construction
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Filters
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Summary
6
6. SciPy for Data Mining
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6. SciPy for Data Mining
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Descriptive statistics
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Distributions
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Interval estimation, correlation measures, and statistical tests
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Distribution fitting
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Distances
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Clustering
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Summary
7
7. SciPy for Computational Geometry
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7. SciPy for Computational Geometry
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The structural model of oxides
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A finite element solver for Laplace's equation
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Summary
8
8. Interaction with Other Languages
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8. Interaction with Other Languages
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Interaction with Fortran
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Interaction with C/C++
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Interaction with MATLAB/Octave
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Summary
9
Index
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Index

Airy and Bairy functions

These are solutions of the Stokes equation and are obtained by solving the following differential equation:

This equation has two linearly independent solutions, both of them defined as an improper integral for real values of the independent variable. The airy command computes both functions (Ai and Bi) as well as their corresponding derivatives (Aip and Bip, respectively). In the following code, we take advantage of the contourf command in matplotlib.pyplot to present an image of the real part of the output of the Bairy function Bi for an array of 801 x 801 complex values uniformly spaced in the square from -4 - 4j to 4 + 4j. We also offer this graph as a surface plot using the mplot3d module of mpl_toolkits:

>>> import numpy
>>> import scipy.special
>>> import  matplotlib.pyplot as plt
>>> import mpl_toolkits.mplot3d
>>> x=numpy.mgrid[-4:4:100j,-4:4:100j]
>>> z=x[0]+1j*x[1]
>>> (Ai, Aip, Bi, Bip) = scipy...
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Learning SciPy for Numerical and Scientific Computing Second Edition
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