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Francisco J. Blanco-Silva - Mastering SciPy

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Francisco J. Blanco-Silva Mastering SciPy

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About This Book Master the theory and algorithms behind numerical recipes and how they can be applied to real-world problems Learn to combine the most appropriate built-in functions from the SciPy stack by understanding the connection between the sources of your problem, volume of data, or computer architecture A comprehensive coverage of all the mathematical techniques needed to solve the presented topics, with a discussion of the relevant algorithms built in the SciPy stack Who This Book Is For If you are a professional with a proficiency in Python and familiarity with IPython, this book is for you. Some basic knowledge of numerical methods in scientific computing would be helpful. What You Will Learn Master relevant algorithms used in symbolic or numerical mathematics to address the approximation, interpolation, and optimization of scalar or multi-variate functions Develop different algorithms and strategies to effectively store and manipulate large matrices of data, with a view to solving various problems in numerical linear algebra Understand how to model physical problems with systems of differential equations and distinguish the factors that dictate the strategies to solve them numerically Perform statistical analysis, inference, data mining, and machine learning at higher level, and apply these to real-world problems Adapt valuable ideas in computational geometry like Delaunay triangulations, Voronoi diagrams, geometric query problems, or Bezier curves, and apply them to various engineering problems Familiarize yourself with different methods to represent and compress images, as well as techniques used in image processing, including edition, restoration, in painting, segmentation, or feature recognition In Detail The SciPy stack is a collection of open source libraries of the powerful scripting language Python, together with its interactive shells. This environment offers a cutting-edge platform for

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Mastering SciPy

Table of Contents
Mastering SciPy

Mastering SciPy

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 author, 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: November 2015

Production reference: 1301015

Published by Packt Publishing Ltd.

Livery Place

35 Livery Street

Birmingham B3 2PB, UK.

ISBN 978-1-78398-474-9

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Credits

Author

Francisco J. Blanco-Silva

Reviewers

Raiyan Kamal

Kristen Thyng

Patrick Varilly

Jonathan Whitmore

Commissioning Editor

Kartikey Pandey

Acquisition Editor

Shaon Basu

Content Development Editor

Nikhil Potdukhe

Technical Editor

Bharat Patil

Copy Editors

Tani Kothari

Merilyn Pereira

Project Coordinator

Judie Jose

Proofreader

Safis Editing

Indexer

Tejal Soni

Production Coordinator

Aparna Bhagat

Cover Work

Aparna Bhagat

About the Author

Francisco J. Blanco-Silva is the owner of a scientific consulting company called Tizona Scientific Solutions, a faculty member of the Department of Mathematics, and an associate member of the Interdisciplinary Mathematics Institute at the University of South Carolina. He obtained his formal training as an applied mathematician from Purdue University. He enjoys problem solving, learning, and teaching alike. Being an avid programmer and blogger, when it comes to writing, he relishes finding the common denominator among his passions and skills and making it available to everyone.

He wrote the prequel to this book, Learning SciPy for Numerical and Scientific Computing , Packt Publishing , and coauthored Chapter 5 of the book, Modeling Nanoscale Imaging in Electron Microscopy , Springer .

I will always be indebted to Bradley J. Lucier and Rodrigo Bauelos for being constant sources of inspiration and for their guidance and teachings. Special thanks to my editors, Sriram Neelakantam, Bharat Patil, Nikhil Potdukhe, Mohammad Rizvi, and the many colleagues who have contributed by giving me encouragement and participating in helpful discussions. In particular, I would like to mention Parsa Bakhtary, Aaron Dutle, Edsel Pea, Pablo Sprechmann, Adam Taylor, and Holly Watson.

The most special thanks, without a doubt, goes to my wife and daughter. Grace's love and smiles alone provided all the motivation, enthusiasm, and skills to overcome the difficulties encountered during the writing of this book and everything that life threw at me ever since she was born.

About the Reviewers

Raiyan Kamal is a strong proponent of the open source movement and everything related to Python. He holds a bachelor's degree in computer science from BUET, Dhaka, Bangladesh, and a master's degree from the University of Windsor, Ontario, Canada. He has been working in the software industry for several years, developing software for mobile, web, and desktop platforms. Although he is in his early thirties, Raiyan feels that his boyhood has not ended yet. He often looks for hidden treasures in science, engineering, programming, art, and nature. He is currently working at IOU Concepts, exploring different ways of saying thank you. When he isn't on a computer, he plants trees and composts kitchen scraps.

Kristen Thyng has worked on scientific computing for most of her career. She has a bachelor's degree in physics from Whitman College, master's degree in applied mathematics from the University of Washington, and PhD in mechanical engineering from the University of Washington. She uses Python on a daily basis for analysis and visualization in physical oceanography at Texas A&M University, where she works as an assistant research scientist.

Jonathan Whitmore is a data scientist at Silicon Valley Data Science. He has a diverse range of interests and is excited by the challenges in data science and data engineering. Before moving into the tech industry, he worked as an astrophysicist in Melbourne, Australia, researching whether the fundamental physical constants have changed over the lifespan of the universe. He has a long-standing commitment to the public's understanding of science and technology, and has contributed to FOSS projects. He co-starred in the 3D IMAX film Hidden Universe , which was playing in theaters around the world at the time of writing this book. Jonathan is a sought-after conference speaker on science and technical topics. He received his PhD in physics from the University of California, San Diego, and graduated magna cum laude from Vanderbilt University with a bachelor's degree in science. He is also a triple major in physics (with honors), philosophy, and mathematics.

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Preface

The idea of writing Mastering SciPy arose but 2 months after publishing Learning SciPy for Numerical and Scientific Computing . During a presentation of that book at the University of South Carolina, I had the privilege of speaking about its contents to a heterogeneous audience of engineers, scientists, and students, each of them with very different research problems and their own set of preferred computational resources. In the weeks following that presentation, I helped a few professionals transition to a SciPy-based environment. During those sessions, we discussed how SciPy is, under the hood, the same set of algorithms (and often the same code) that they were already using. We experimented with some of their examples and systematically obtained comparable performance. We immediately saw the obvious benefit of a common environment based upon a robust scripting language. Through the SciPy stack, we discovered an easier way to communicate and share our results with colleagues, students, or employers. In all cases, the switch to the SciPy stack provided a faster setup for our groups, where newcomers could get up to speed quickly.

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