Book Image

Mastering SciPy

By : Francisco Javier Blanco-Silva, Francisco Javier B Silva
Book Image

Mastering SciPy

By: Francisco Javier Blanco-Silva, Francisco Javier B Silva

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Mastering SciPy
Francisco Javier Blanco-Silva | Francisco Javier B Silva
Nov, 2015 | 404 pages
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Table of Contents (16 chapters)
Mastering SciPy
Mastering SciPy
Credits
Credits
About the Author
About the Author
About the Reviewers
About the Reviewers
www.PacktPub.com
www.PacktPub.com
Preface
Preface
Free Chapter
1
Numerical Linear Algebra
Numerical Linear Algebra
Motivation
Creation of matrices and linear operators
Basic matrix manipulation
Matrix functions
Matrix factorizations related to solving matrix equations
Matrix factorizations based on eigenvalues
Summary
2
Interpolation and Approximation
Interpolation and Approximation
Motivation
Interpolation
Least squares approximation
Summary
3
Differentiation and Integration
Differentiation and Integration
Motivation
Differentiation
Integration
Summary
4
Nonlinear Equations and Optimization
Nonlinear Equations and Optimization
Motivation
Non-linear equations and systems
Optimization
Summary
5
Initial Value Problems for Ordinary Differential Equations
Initial Value Problems for Ordinary Differential Equations
Symbolic solution of differential equations
Analytic approximation methods
Discrete-variable methods
Summary
6
Computational Geometry
Computational Geometry
Plane geometry
Combinatorial computational geometry
Summary
7
Descriptive Statistics
Descriptive Statistics
Motivation
Probability
Data exploration
Summary
8
Inference and Data Analysis
Inference and Data Analysis
Statistical inference
Data mining and machine learning
Summary
9
Mathematical Imaging
Mathematical Imaging
Digital images
Color
High-level operations on digital images
Image compression
Image editing
Image analysis
Summary
Index
Index

Chapter 4. Nonlinear Equations and Optimization

In this chapter, we will review two basic operations that are fundamental to the development of Numerical Mathematics: the search of zeros and extrema of real-valued functions.

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