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Using Sage as a powerful calculator
A practical example: analysing experimental data
Time for action - fitting the standard curve
Time for action - plotting experimental data
Time for action - fitting a growth model
Installing a binary version of Sage on Windows
Installing a binary version of Sage on OS X
Installing a binary version of Sage on GNU/Linux
Starting Sage from the command line
Time for action - doing calculations on the command line
Time for action - doing calculations with the notebook interface
Displaying results of calculations
Time for action - using strings
Time for action - defining callable symbolic expressions
Time for action - calling functions
Time for action - defining and using your own functions
Time for action - defining a function with keyword arguments
Time for action - working with objects
Sequence types: lists, tuples, and strings
Time for action - creating lists
Time for action - accessing items in a list
Time for action - returning multiple values from a function
Time for action - working with strings
Time for action - iterating over lists
Time for action - computing a solution to the diffusion equation
Time for action - using a list comprehension
Time for action - saving data in a text file
Time for action - reading data from a text file
If statements and conditional expressions
Time for action - defining and accessing dictionaries
Time for action - using lambda to create an anonymous function
Vectors, Matrices, and Linear Algebra
Time for action - working with vectors
Time for action - manipulating elements of vectors
Time for action - solving a system of linear equations
Time for action - accessing elements and parts of a matrix
Time for action - manipulating matrices
Time for action - matrix algebra
Time for action - trying other matrix methods
Time for action - computing eigenvalues and eigenvectors
Time for action - computing the QR factorization
Time for action - computing the singular value decomposition
Time for action - creating NumPy arrays
Time for action - working with NumPy arrays
Time for action - creating matrices in NumPy
Confusion alert: Sage plots and matplotlib
Time for action - plotting symbolic expressions
Time for action - plotting a function with a pole
Time for action - plotting a parametric function
Time for action - making a polar plot
Time for action - plotting a vector field
Time for action - making a scatter plot
Time for action - plotting a list
Time for action - plotting with graphics primitives
Time for action - plotting functions with matplotlib
Time for action - getting the matplotlib figure object
Time for action - improving polar plots
Time for action - making a bar chart
Time for action - making a pie chart
Time for action - plotting a histogram
Time for action - make an interactive 3D plot
Time for action - parametric plots in 3D
Time for action - making some contour plots
Making Symbolic Mathematics Easy
Time for action - defining callable symbolic expressions
Time for action - defining relational expressions
Time for action - relational expressions with assumptions
Time for action - manipulating expressions
Time for action - working with rational functions
Time for action - substituting symbols in expressions
Time for action - expanding and factoring polynomials
Time for action - manipulating trigonometric expressions
Time for action - simplifying expressions
Solving equations and finding roots
Time for action - solving equations
Time for action - finding roots
Differential and integral calculus
Time for action - calculating limits
Time for action - calculating derivatives
Time for action - calculating integrals
Time for action - computing sums of series
Time for action - finding Taylor series
Time for action - computing Laplace transforms
Solving ordinary differential equations
Time for action - solving an ordinary differential equation
Solving equations and finding roots numerically
Time for action - finding roots of a polynomial
Finding minima and maxima of functions
Time for action - minimizing a function of one variable
Time for action - minimizing a function of several variables
Numerical approximation of derivatives
Time for action - approximating derivatives with differences
Time for action - computing gradients
Time for action - numerical integration
Time for action - numerical integration with NumPy
Time for action - computing discrete Fourier transforms
Time for action - plotting window functions
Solving ordinary differential equations
Time for action - solving a first-order ODE
Time for action - solving a higher-order ODE
Time for action - alternative method of solving a system of ODEs
Time for action - linear programming
Time for action - least squares fitting
Time for action - a constrained optimization problem
Time for action - accessing probability distribution functions
Learning Advanced Python Programming
Time for action - defining a class that represents a tank
Time for action - making the tanks move
Time for action - creating your first module
Time for action - creating a vehicle base class
Time for action - creating a combat simulation package
Potential pitfalls when working with classes and instances
Time for action - using class and instance attributes
Time for action - more about class and instance attributes
Time for action - creating empty classes and functions
Time for action - raising and handling exceptions
Time for action - creating custom exception types
Time for action - creating unit tests for the Tank class
Typesetting equations with LaTeX
Time for action - PDF output from the notebook interface
Time for action - working with LaTeX markup in the notebook interface
Time for action - putting it all together
Time for action - detecting collisions between spheres
Time for action - detecting collisions: command-line version
Time for action - faster collision detection
Time for action - optimizing collision detection with Cython
Time for action - calling Sage from a Python script
Time for action - introducing the Python decorator
Time for action - making interactive controls