Learning SciPy for Numerical and Scientific Computing - Second Edition

Sergio J. Rojas G., Erik A Christensen, Francisco J. Blanco-Silva

• Publisher: Packt Publishing
• Year: 2015
• ISBN:
  9781783987719
• Topic: Informatik
• Subtopic: Programmierung in Python

About This Book

• Use different modules and routines from the SciPy library quickly and efficiently
• Create vectors and matrices and learn how to perform standard mathematical operations between them or on the respective array in a functional form
• A step-by-step tutorial that will help users solve research-based problems from various areas of science using Scipy

Who This Book Is For

This book targets programmers and scientists who have basic Python knowledge and who are keen to perform scientific and numerical computations with SciPy.

Learning SciPy for Numerical and Scientific Computing Second Edition

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Table of Contents

Learning SciPy for Numerical and Scientific Computing Second Edition

Credits

About the Authors

About the Reviewers

www.PacktPub.com

Support files, eBooks, discount offers, and more

Why subscribe?

Free access for Packt account holders

Preface

What this book covers

What you need for this book

Who this book is for

Conventions

Reader feedback

Customer support

Downloading the example code

Downloading the color images of this book

Errata

Piracy

Questions

1. Introduction to SciPy

What is SciPy?

Installing SciPy

Installing SciPy on Mac OS X

Installing SciPy on Unix/Linux

Installing SciPy on Windows

Testing the SciPy installation

SciPy organization

How to find documentation

Scientific visualization

How to open IPython Notebooks

Summary

2. Working with the NumPy Array As a First Step to SciPy

Object essentials

Using datatypes

Indexing and slicing arrays

The array object

Array conversions

Shape selection/manipulations

Object calculations

Array routines

Routines to create arrays

Routines for the combination of two or more arrays

Routines for array manipulation

Routines to extract information from arrays

Summary

3. SciPy for Linear Algebra

Vector creation

Vector operations

Addition/subtraction

Scalar/Dot product

Cross/Vector product – on three-dimensional space vectors

Creating a matrix

Matrix methods

Operations between matrices

Functions on matrices

Eigenvalue problems and matrix decompositions

Image compression via the singular value decomposition

Solvers

Summary

4. SciPy for Numerical Analysis

The evaluation of special functions

Convenience and test functions

Univariate polynomials

The gamma function

The Riemann zeta function

Airy and Bairy functions

The Bessel and Struve functions

Other special functions

Interpolation

Regression

Optimization

Minimization

Roots

Integration

Exponential/logarithm integrals

Trigonometric and hyperbolic trigonometric integrals

Elliptic integrals

Gamma and beta integrals

Numerical integration

Ordinary differential equations

Lorenz attractors

Summary

5. SciPy for Signal Processing

Discrete Fourier Transforms

Signal construction

Filters

The LTI system theory

Filter design

Window functions

Image interpolation

Morphology

Summary

6. SciPy for Data Mining

Descriptive statistics

Distributions

Interval estimation, correlation measures, and statistical tests

Distribution fitting

Distances

Clustering

Vector quantization and k-means

Hierarchical clustering

Clustering mammals by their dentition

Summary

7. SciPy for Computational Geometry

The structural model of oxides

A finite element solver for Laplace's equation

Summary

8. Interaction with Other Languages

Interaction with Fortran

Interaction with C/C++

Interaction with MATLAB/Octave

Summary

Index

Learning SciPy for Numerical and Scientific Computing Second Edition

Copyright © 2015 Packt Publishing

All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, without the prior written permission of the publisher, except in the case of brief quotations embedded in critical articles or reviews.

Every effort has been made in the preparation of this book to ensure the accuracy of the information presented. However, the information contained in this book is sold without warranty, either express or implied. Neither the authors, nor Packt Publishing, and its dealers and distributors will be held liable for any damages caused or alleged to be caused directly or indirectly by this book.

Packt Publishing has endeavored to provide trademark information about all of the companies and products mentioned in this book by the appropriate use of capitals. However, Packt Publishing cannot guarantee the accuracy of this information.

First published: February 2013

Second edition: February 2015

Production reference: 1200215

Published by Packt Publishing Ltd.

Livery Place

35 Livery Street

Birmingham B3 2PB, UK.

ISBN 978-1-78398-770-2

www.packtpub.com

Credits

Authors

Sergio J. Rojas G.

Erik A Christensen

Francisco J. Blanco-Silva

Reviewers

Dr. Robert Clewley

Nicolas Fauchereau

Valentin Haenel

Andy Ray Terrel

Commissioning Editor

Kartikey Pandey

Acquisition Editors

Kartikey Pandey

Meeta Rajani

Content Development Editor

Shweta Pant

Technical Editor

Rahul C. Shah

Copy Editors

Roshni Banerjee

Puja Lalwani

Merilyn Pereira

Project Coordinator

Shipra Chawhan

Proofreaders

Paul Hindle

Clyde Jenkins

Indexers

Monica Ajmera Mehta

Priya Sane

Graphics

Sheetal Aute

Valentina D'silva

Abhinash Sahu

Production Coordinator

Nitesh Thakur

Cover Work

Nitesh Thakur

About the Authors

Sergio J. Rojas G. is currently a full professor of physics at Universidad Simón Bolívar, V...