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BOOKS FOR PROFESSIONALS BY PROFESSIONALS

Numerical Python

Numerical Python by Robert Johansson shows you how to leverage the numerical

and mathematical modules in Python and its Standard Library as well as popular

open source numerical Python packages like NumPy, FiPy, matplotlib and more to

numerically compute solutions and mathematically model applications in a number

of areas like big data, cloud computing, financial engineering, business management

and more.

After reading and using this book, you’ll have some case study examples of

applications that can be found in areas like business management, big data/cloud

computing, financial engineering (i.e., options trading investment alternatives), and

even games.

Up until very recently, Python was mostly regarded as just a web scripting

language. Well, computational scientists and engineers have recently discovered

the flexibility and power of Python to do more. Big data analytics and cloud

computing programmers are seeing Python’s immense use. Financial engineers are

also now employing Python in their work. Python seems to be evolving as a language

that can even rival C++, Fortran, and Pascal/Delphi for numerical and mathematical

computations.

• How to plot and graph with matplotlib

• How to construct vectors and matrices with NumPy

• How to solve linear/non-linear equations with NumPy

• How to solve equations with finite element methods using FiPy

• How to handle image processing with Pillow, matplotlib and OpenCV

• How to do numerical computations, interpolations and optimizations using SciPy

• How to handle file I/O, data encoding/compression, and text/date/time processing

9781484 205549

55999

ISBN 978-1-4842-0554-9

Numerical Python: A Practical Techniques Approach for Industry

Robert Johansson

Urayasu, Chiba, Japan

ISBN-13 (pbk): 978-1-4842-0554-9 ISBN-13 (electronic): 978-1-4842-0553-2

DOI 10.1007/978-1-4842-0553-2

Library of Congress Control Number: 2015952828

This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material

is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,

reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval,

electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter

developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly

analysis or material supplied specifically for the purpose of being entered and executed on a computer system,

for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only

under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use

must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright

Clearance Center. Violations are liable to prosecution under the respective Copyright Law.

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occurrence of a trademarked name, logo, or image we use the names, logos, and images only in an editorial fashion

and to the benefit of the trademark owner, with no intention of infringement of the trademark.

The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified

as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.

While the advice and information in this book are believed to be true and accurate at the date of publication, neither

the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may

be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.

Managing Director: Welmoed Spahr

Lead Editor: Steve Anglin

Technical Reviewer: Stefan Turalski

Editorial Board: Steve Anglin, Louise Corrigan, Jonathan Gennick, Robert Hutchinson, Michelle Lowman,

James Markham, Susan McDermott, Matthew Moodie, Jeffrey Pepper, Douglas Pundick,

Ben Renow-Clarke, Gwenan Spearing, Steve Weiss

Coordinating Editor: Mark Powers

Copy Editor: Karen Jameson

Compositor: SPi Global

Indexer: SPi Global

Artist: SPi Global

Distributed to the book trade worldwide by Springer Science+Business Media New York, 233 Spring Street, 6th Floor,

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Supplementary Material section for each chapter.

Printed on acid-free paper

Contents at a Glance

About the Author ��xvii

About the Technical Reviewer ��xix

Introduction ��xxi

■Chapter 1: Introduction to Computing with Python �� 1

■Chapter 2: Vectors, Matrices, and Multidimensional Arrays �� 25

■Chapter 3: Symbolic Computing �� 63

■Chapter 4: Plotting and Visualization �� 89

■Chapter 5: Equation Solving �� 125

■Chapter 6: Optimization �� 147

■Chapter 7: Interpolation �� 169

■Chapter 8: Integration �� 187

■Chapter 9: Ordinary Differential Equations �� 207

■Chapter 10: Sparse Matrices and Graphs �� 235

■Chapter 11: Partial Differential Equations �� 255

■Chapter 12: Data Processing and Analysis �� 285

■Chapter 13: Statistics �� 313

■Chapter 14: Statistical Modeling �� 333

■Chapter 15: Machine Learning �� 363

■Chapter 16: Bayesian Statistics�� 383

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