Book Image

NumPy Essentials

By : Leo (Liang-Huan) Chin, Tanmay Dutta, Shane Holloway
Book Image

NumPy Essentials

By: Leo (Liang-Huan) Chin, Tanmay Dutta, Shane Holloway

Overview of this book

In today’s world of science and technology, it’s all about speed and flexibility. When it comes to scientific computing, NumPy tops the list. NumPy gives you both the speed and high productivity you need. This book will walk you through NumPy using clear, step-by-step examples and just the right amount of theory. We will guide you through wider applications of NumPy in scientific computing and will then focus on the fundamentals of NumPy, including array objects, functions, and matrices, each of them explained with practical examples. You will then learn about different NumPy modules while performing mathematical operations such as calculating the Fourier Transform; solving linear systems of equations, interpolation, extrapolation, regression, and curve fitting; and evaluating integrals and derivatives. We will also introduce you to using Cython with NumPy arrays and writing extension modules for NumPy code using the C API. This book will give you exposure to the vast NumPy library and help you build efficient, high-speed programs using a wide range of mathematical features.
Table of Contents (16 chapters)
NumPy Essentials
Credits
About the Authors
About the Reviewers
www.PacktPub.com
Preface

Polynomial mathematics


NumPy also provides methods to work with polynomials, and includes a package called numpy.polynomial to create, manipulate, and fit the polynomials. A common application of this would be interpolation and extrapolation. In this section, our focus is still on using ndarray with NumPy functions instead of using polynomial instances. (Don't worry, we will still show you the usage of the polynomial class.)

As we stated in the matrix class section, using ndarray with NumPy functions is preferred since ndarray can be accepted in any functions while matrix and polynomial objects need to be converted, especially when communicating to other programs. Both of them provided handy properties, but in most cases ndarray would be good enough.

In this section, we will cover how to calculate the coefficients based on a set of roots, and how to solve a polynomial equation, and finally we will evaluate integrals and derivatives. Let's start by calculating the coefficients of a polynomial...