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Morley, Sam. Applying math with Python: practical recipes for solving computational math problems using Python programming and its libraries / Sam Morley. — 1 online resource (1 volume) : illustrations — <URL:http://elib.fa.ru/ebsco/2557661.pdf>.Record create date: 10/30/2020 Subject: Mathematics — Data processing.; Python (Computer program language); Mathematics — Data processing.; Python (Computer program language) Collections: EBSCO Allowed Actions: –
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Table of Contents
- Cover
- Title Page
- Copyright and Credits
- Dedication
- About Packt
- Contributors
- Table of Contents
- Preface
- Chapter 1: Basic Packages, Functions, and Concepts
- Technical requirements
- Python numerical types
- Decimal type
- Fraction type
- Complex type
- Basic mathematical functions
- NumPy arrays
- Element access
- Array arithmetic and functions
- Useful array creation routines
- Higher dimensional arrays
- Matrices
- Basic methods and properties
- Matrix multiplication
- Determinants and inverses
- Systems of equations
- Eigenvalues and eigenvectors
- Sparse matrices
- Summary
- Further reading
- Chapter 2: Mathematical Plotting with Matplotlib
- Technical requirements
- Basic plotting with Matplotlib
- Getting ready
- How to do it...
- How it works...
- There's more...
- Changing the plotting style
- Getting ready
- How to do it...
- How it works...
- There's more...
- Adding labels and legends to plots
- How to do it...
- How it works...
- Adding subplots
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Saving Matplotlib figures
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Surface and contour plots
- Getting ready
- How to do it...
- How it works...
- There's more...
- Customizing three-dimensional plots
- Getting ready
- How to do it...
- How it works...
- There's more...
- Further reading
- Chapter 3: Calculus and Differential Equations
- Technical requirements
- Working with polynomials and calculus
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Differentiating and integrating symbolically using SymPy
- Getting ready
- How to do it...
- How it works...
- There's more...
- Solving equations
- Getting ready
- How to do it...
- How it works...
- There's more...
- Integrating functions numerically using SciPy
- Getting ready
- How to do it...
- How it works...
- There's more...
- Solving simple differential equations numerically
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Solving systems of differential equations
- Getting ready
- How to do it...
- How it works...
- There's more...
- Solving partial differential equations numerically
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Using discrete Fourier transforms for signal processing
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Further reading
- Chapter 4: Working with Randomness and Probability
- Technical requirements
- Selecting items at random
- Getting ready
- How to do it...
- How it works...
- There's more...
- Generating random data
- Getting ready
- How to do it...
- How it works...
- There's more...
- Changing the random number generator
- Getting ready
- How to do it...
- How it works...
- There's more...
- Generating normally distributed random numbers
- Getting ready
- How to do it...
- How it works...
- There's more...
- Working with random processes
- Getting ready
- How to do it...
- How it works...
- There's more...
- Analyzing conversion rates with Bayesian techniques
- Getting ready
- How to do it...
- How it works...
- There's more...
- Estimating parameters with Monte Carlo simulations
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Further reading
- Chapter 5: Working with Trees and Networks
- Technical requirements
- Creating networks in Python
- Getting ready
- How to do it...
- How it works...
- There's more...
- Visualizing networks
- Getting ready
- How to do it...
- How it works...
- There's more...
- Getting the basic characteristics of networks
- Getting ready
- How to do it...
- How it works...
- There's more...
- Generating the adjacency matrix for a network
- Getting ready
- How to do it...
- How it works...
- There's more...
- Creating directed and weighted networks
- Getting ready
- How to do it...
- How it works...
- There's more...
- Finding the shortest paths in a network
- Getting ready
- How to do it...
- How it works...
- There's more...
- Quantifying clustering in a network
- Getting ready
- How to do it...
- How it works...
- There's more...
- Coloring a network
- Getting ready
- How to do it...
- How it works...
- There's more...
- Finding minimal spanning trees and dominating sets
- Getting ready
- How to do it...
- How it works...
- Further reading
- Chapter 6: Working with Data and Statistics
- Technical requirements
- Creating Series and DataFrame objects
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Loading and storing data from a DataFrame
- Getting ready
- How to do it...
- How it works...
- See also
- Manipulating data in DataFrames
- Getting ready
- How to do it...
- How it works...
- There's more...
- Plotting data from a DataFrame
- Getting ready
- How to do it...
- How it works...
- There's more...
- Getting descriptive statistics from a DataFrame
- Getting ready
- How to do it...
- How it works...
- There's more...
- Understanding a population using sampling
- Getting ready
- How to do it...
- How it works...
- See also
- Testing hypotheses using t-tests
- Getting ready
- How to do it...
- How it works...
- There's more...
- Testing hypotheses using ANOVA
- Getting ready
- How to do it...
- How it works...
- There's more...
- Testing hypotheses for non-parametric data
- Getting ready
- How to do it...
- How it works...
- Creating interactive plots with Bokeh
- Getting ready
- How to do it...
- How it works...
- There's more...
- Further reading
- Chapter 7: Regression and Forecasting
- Technical requirements
- Using basic linear regression
- Getting ready
- How to do it...
- How it works...
- There's more...
- Using multilinear regression
- Getting ready
- How to do it...
- How it works...
- Classifying using logarithmic regression
- Getting ready
- How to do it...
- How it works...
- There's more...
- Modeling time series data with ARMA
- Getting ready
- How to do it...
- How it works...
- There's more...
- Forecasting from time series data using ARIMA
- Getting ready
- How to do it...
- How it works...
- Forecasting seasonal data using ARIMA
- Getting ready
- How to do it...
- How it works...
- There's more...
- Using Prophet to model time series data
- Getting ready
- How to do it...
- How it works...
- There's more...
- Further reading
- Chapter 8: Geometric Problems
- Technical requirements
- Visualizing two-dimensional geometric shapes
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Finding interior points
- Getting ready
- How to do it...
- How it works...
- Finding edges in an image
- Getting ready
- How to do it...
- How it works...
- Triangulating planar figures
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Computing convex hulls
- Getting ready
- How to do it...
- How it works...
- Constructing Bezier curves
- Getting ready
- How to do it...
- How it works...
- There's more...
- Further reading
- Chapter 9: Finding Optimal Solutions
- Technical requirements
- Minimizing a simple linear function
- Getting ready
- How to do it...
- How it works...
- There's more...
- Minimizing a non-linear function
- Getting ready
- How to do it...
- How it works...
- There's more...
- Using gradient descent methods in optimization
- Getting ready
- How to do it...
- How it works...
- There's more...
- Using least squares to fit a curve to data
- Getting ready
- How to do it...
- How it works...
- There's more...
- Analyzing simple two-player games
- Getting ready
- How to do it...
- How it works...
- There's more...
- Computing Nash equilibria
- Getting ready
- How to do it...
- How it works...
- There's more...
- See also
- Further reading
- Chapter 10: Miscellaneous Topics
- Technical requirements
- Keeping track of units with Pint
- Getting ready
- How to do it...
- How it works...
- There's more...
- Accounting for uncertainty in calculations
- Getting ready
- How to do it...
- How it works...
- There's more...
- Loading and storing data from NetCDF files
- Getting ready
- How to do it...
- How it works...
- There's more...
- Working with geographical data
- Getting ready
- How to do it...
- How it works...
- Executing a Jupyter notebook as a script
- Getting ready
- How to do it...
- How it works...
- There's more...
- Validating data
- Getting ready
- How to do it...
- How it works...
- Working with data streams
- Getting ready
- How to do it...
- How it works...
- See also
- Accelerating code with Cython
- Getting ready
- How to do it...
- How it works...
- There's more...
- Distributing computing with Dask
- Getting ready
- How to do it...
- How it works...
- There's more...
- Other Books You May Enjoy
- Index
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