Cover
Title Page
Copyright and Credits
Contributors
Acknowledgement
Preface
Table of Contents
Chapter 1: Getting Started
1.1 Installation and configuration instructions
1.1.1 Installation
1.1.2 Anaconda
1.1.3 Spyder
1.1.4 Configuration
1.1.5 Python shell
1.1.6 Executing scripts
1.1.7 Getting help
1.1.8 Jupyter – Python notebook
1.2 Program and program flow
1.2.1 Comments
1.2.2 Line joining
1.3 Basic data types in Python
1.3.1 Numbers
1.3.2 Strings
1.3.3 Variables
1.3.4 Lists
Operations on lists
1.3.6 Boolean expressions
1.4 Repeating statements with loops
1.4.1 Repeating a task
1.4.2 break and else
1.5 Conditional statements
1.6 Encapsulating code with functions
1.7 Understanding scripts and modules
1.7.1 Simple modules – collecting functions
1.7.2 Using modules and namespaces
1.8 Python interpreter
Summary
Chapter 2: Variables and Basic Types
2.1 Variables
2.2 Numeric types
2.2.1 Integers
Plain integers
2.2.2 Floating-point numbers
Floating-point representation
Infinite and not a number
Underflow – Machine epsilon
Other float types in NumPy
2.2.3 Complex numbers
Complex numbers in mathematics
The j notation
Real and imaginary parts
2.3 Booleans
2.3.1 Boolean operators
2.3.2 Boolean casting
Automatic Boolean casting
2.3.3 Return values of and and or
2.3.4 Booleans and integers
2.4 Strings
2.4.1 Escape sequences and raw strings
2.4.2 Operations on strings and string methods
2.4.3 String formatting
2.5 Summary
2.6 Exercises
Chapter 3: Container Types
3.1 Lists
3.1.1 Slicing
Strides
3.1.2 Altering lists
3.1.3 Belonging to a list
3.1.4 List methods
In-place operations
3.1.5 Merging lists – zip
3.1.6 List comprehension
3.2 A quick glance at the concept of arrays
3.3 Tuples
3.3.1 Packing and unpacking variables
3.4 Dictionaries
3.4.1 Creating and altering dictionaries
3.4.2 Looping over dictionaries
3.5 Sets
3.6 Container conversions
3.7 Checking the type of a variable
3.8 Summary
3.9 Exercises
Chapter 4: Linear Algebra - Arrays
4.1 Overview of the array type
4.1.1 Vectors and matrices
4.1.2 Indexing and slices
4.1.3 Linear algebra operations
Solving a linear system
4.2 Mathematical preliminaries
4.2.1 Arrays as functions
4.2.2 Operations are elementwise
4.2.3 Shape and number of dimensions
4.2.4 The dot operations
4.3 The array type
4.3.1 Array properties
4.3.2 Creating arrays from lists
Array and Python parentheses
4.4 Accessing array entries
4.4.1 Basic array slicing
4.4.2 Altering an array using slices
4.5 Functions to construct arrays
4.6 Accessing and changing the shape
4.6.1 The function shape
4.6.2 Number of dimensions
4.6.3 Reshape
Transpose
4.7 Stacking
4.7.1 Stacking vectors
4.8 Functions acting on arrays
4.8.1 Universal functions
Built-in universal functions
Creation of universal functions
4.8.2 Array functions
4.9 Linear algebra methods in SciPy
4.9.1 Solving several linear equation systems with LU
4.9.2 Solving a least square problem with SVD
4.9.3 More methods
4.10 Summary
4.11 Exercises
Chapter 5: Advanced Array Concepts
5.1 Array views and copies
5.1.1 Array views
5.1.2 Slices as views
5.1.3 Generating views by transposing and reshaping
5.1.4 Array copies
5.2 Comparing arrays
5.2.1 Boolean arrays
5.2.2 Checking for array equality
5.2.3 Boolean operations on arrays
5.3 Array indexing
5.3.1 Indexing with Boolean arrays
5.3.2 Using the command where
5.4 Performance and vectorization
5.4.1 Vectorization
5.5 Broadcasting
5.5.1 Mathematical views
Constant functions
Functions of several variables
General mechanism
Conventions
5.5.2 Broadcasting arrays
The broadcasting problem
Shape mismatch
5.5.3 Typical examples
Rescale rows
Rescale columns
Functions of two variables
5.6. Sparse matrices
5.6.1 Sparse matrix formats
Compressed sparse row format (CSR)
Compressed sparse column format (CSC)
Row-based linked list format (LIL)
Altering and slicing matrices in LIL format
5.6.2 Generating sparse matrices
5.6.3 Sparse matrix methods
5.7 Summary
Chapter 6: Plotting
6.1 Making plots with basic plotting commands
6.1.1 Using the plot command and some of its variants
6.1.2 Formatting
6.1.3 Working with meshgrid and contours
6.1.4 Generating images and contours
6.2 Working with Matplotlib objects directly
6.2.1 Creating axes objects
6.2.2 Modifying line properties
6.2.3 Making annotations
6.2.4 Filling areas between curves
6.2.5 Defining ticks and tick labels
6.2.6 Setting spines makes your plot more instructive – a comprehensive example
6.3 Making 3D plots
6.4 Making movies from plots
6.5 Summary
6.6 Exercises
Chapter 7: Functions
7.1 Functions in mathematics and functions in Python
7.2 Parameters and arguments
7.2.1 Passing arguments – by position and by keyword
7.2.2 Changing arguments
7.2.3 Access to variables defined outside the local namespace
7.2.4 Default arguments
Beware of mutable default arguments
7.2.5 Variable number of arguments
7.3 Return values
7.4 Recursive functions
7.5 Function documentation
7.6 Functions are objects
7.6.1 Partial application
7.6.2 Using closures
7.7 Anonymous functions – the keyword lambda
7.7.1 The lambda construction is always replaceable
7.8 Functions as decorators
7.9 Summary
7.10 Exercises
Chapter 8: Classes
8.1 Introduction to classes
8.1.1 A guiding example: Rational numbers
8.1.2 Defining a class and making an instance
8.1.3 The init method
8.1.4 Attributes and methods
8.1.5 Special methods
Reverse operations
Methods mimicking function calls and iterables
8.2 Attributes that depend on each other
8.2.1 The function property
8.3 Bound and unbound methods
8.4 Class attributes and class methods
8.4.1 Class attributes
8.4.2 Class methods
8.5 Subclasses and inheritance
8.6 Encapsulation
8.7 Classes as decorators
8.8 Summary
8.9 Exercises
Chapter 9: Iterating
9.1 The for statement
9.2 Controlling the flow inside the loop
9.3 Iterable objects
9.3.1 Generators
9.3.2 Iterators are disposable
9.3.3 Iterator tools
9.3.4 Generators of recursive sequences
9.3.5 Examples for iterators in mathematics
Arithmetic geometric mean
Convergence acceleration
9.4 List-filling patterns
9.4.1 List filling with the append method
9.4.2 List from iterators
9.4.3 Storing generated values
9.5 When iterators behave as lists
9.5.1 Generator expressions
9.5.2 Zipping iterators
9.6 Iterator objects
9.7 Infinite iterations
9.7.1 The while loop
9.7.2 Recursion
9.8 Summary
9.9 Exercises
Chapter 10: Series and Dataframes - Working with Pandas
10. 1 A guiding example: Solar cells
10.2 NumPy arrays and pandas dataframes
10.2.1 Indexing rules
10.3 Creating and modifying dataframes
10.3.1 Creating a dataframe from imported data
10.3.2 Setting the index
10.3.3 Deleting entries
10.3.4 Merging dataframes
10.3.5 Missing data in a dataframe
10.4 Working with dataframes
10.4.1 Plotting from dataframes
10.4.2 Calculations within dataframes
10.4.3 Grouping data
10.5 Summary
Chapter 11: Communication by a Graphical User Interface
11.1 A guiding example to widgets
11.1.1 Changing a value with a slider bar
An example with two sliders
11.2 The button widget and mouse events
11.2.1 Updating curve parameters with a button
11.2.2 Mouse events and textboxes
11.3 Summary
Chapter 12: Error and Exception Handling
12.1 What are exceptions?
12.1.1 Basic principles
Raising exceptions
Catching exceptions
12.1.2 User-defined exceptions
12.1.3 Context managers – the with statement
12.2 Finding errors: debugging
12.2.1 Bugs
12.2.2 The stack
12.2.3 The Python debugger
12.2.4 Overview – debug commands
12.2.5 Debugging in IPython
12.3 Summary
Chapter 13: Namespaces, Scopes, and Modules
13.1 Namespaces
13.2 The scope of a variable
13.3 Modules
13.3.1 Introduction
13.3.2 Modules in IPython
The IPython magic command – run
13.3.3 The variable name
13.3.4 Some useful modules
13.4 Summary
Chapter 14: Input and Output
14.1 File handling
14.1.1 Interacting with files
14.1.2 Files are iterables
14.1.3 File modes
14.2 NumPy methods
14.2.1 savetxt
14.2.3 loadtxt
14.3 Pickling
14.4 Shelves
14.5 Reading and writing Matlab data files
14.6 Reading and writing images
14.7 Summary
Chapter 15: Testing
15.1 Manual testing
15.2 Automatic testing
15.2.1 Testing the bisection algorithm
15.2.2 Using the unittest module
15.2.3 Test setUp and tearDown methods
Setting up testdata when a test case is created
15.2.4 Parameterizing tests
15.2.5 Assertion tools
15.2.6 Float comparisons
15.2.7 Unit and functional tests
15.2.8 Debugging
15.2.9 Test discovery
15.3 Measuring execution time
15.3.1 Timing with a magic function
15.3.2 Timing with the Python module timeit
15.3.3 Timing with a context manager
15.4 Summary
15.5 Exercises
Chapter 16: Symbolic Computations - SymPy
16.1 What are symbolic computations?
16.1.1 Elaborating an example in SymPy
16.2 Basic elements of SymPy
16.2.1 Symbols – the basis of all formulas
16.2.2 Numbers
16.2.3 Functions
Undefined functions
16.2.4 Elementary functions
16.2.5 Lambda functions
16.3 Symbolic linear algebra
16.3.1 Symbolic matrices
16.3.2 Examples for linear algebra methods in SymPy
16.4 Substitutions
16. 5 Evaluating symbolic expressions
16.5.1 Example: A study on the convergence order of Newton's method
16.5.2 Converting a symbolic expression into a numeric function
A study on the parameter dependency of polynomial coefficients
16.6 Summary
Chapter 17: Interacting with the Operating System
17.1 Running a Python program in a Linux shell
17.2 The module sys
17.2.1 Command-line arguments
17.2.2 Input and output streams
Redirecting streams
Building a pipe between a Linux command and a Python script
17.3 How to execute Linux commands from Python
17.3.1 The modules subprocess and shlex
A complete process: subprocess.run
Creating processes: subprocess.Popen
17.4 Summary
Chapter 18: Python for Parallel Computing
18.1 Multicore computers and computer clusters
18.2 Message passing interface (MPI)
18.2.1 Prerequisites
18.3 Distributing tasks to different cores
18.3.1 Information exchange between processes
18.3.2 Point-to-point communication
18.3.3 Sending NumPy arrays
18.3.4 Blocking and non-blocking communication
18.3.5 One-to-all and all-to-one communication
Preparing the data for communication
The commands – scatter and gather
A final data reduction operation – the command reduce
Sending the same message to all
Buffered data
18.4 Summary
Chapter 19: Comprehensive Examples
19.1 Polynomials
19.1.1 Theoretical background
19.1.2 Tasks
19.1.3 The polynomial class
19.1.4 Usage examples of the polynomial class
19.1.5 Newton polynomial
19.2 Spectral clustering
19.3 Solving initial value problems
19.4 Summary
19.5 Exercises
About Packt
Other Books You May Enjoy
References
Index