Welcome to AIMS SageMath’s documentation!

• 1. Experimental Mathematics Using SageMath — AIMS-ZA-2020-21
• 2. Introduction to SageMath: A Computer Algebra System for All
  • 2.1. 1. What is SageMath?
  • 2.2. 2 Help Inside SageMath
  • 2.3. 3 Complete Access to Source Code
  • 2.4. 4 Just the Basics
• 3. Short Review on Python Programming
  • 3.1. Programming and Data Structures
  • 3.2. Algorithmics
  • 3.3. Graphics in Two Dimensions
  • 3.4. Exercises
• 4. The Frobenius number – Starting to Program
  • 4.1. Exploration Question:
  • 4.2. Lists And Loops
  • 4.3. Defining Functions (Extending Sage)
  • 4.4. Exercises
• 5. Rethinking Problems
  • 5.1. Reviewing the Problem
• 6. New Experiments: Sum of Squares and Plotting I
  • 6.1. Last Thoughts on the Conductor
  • 6.2. New Experiment — Sum of Squares
  • 6.3. More Plotting and Graphics in Two Dimensions
• 7. New Experiments: Sum of Squares and Plotting II
  • 7.1. More Plotting and Graphics in Two Dimensions
• 8. New Experiments: Sum of Squares and Plotting III
  • 8.1. Exploring Questions
  • 8.2. Congruences
• 9. Pieces of Numbers
  • 9.1. Pieces of Numbers – The Simplest Addition
• 10. More on Pieces of Numbers
• 11. Even More on Pieces of Numbers
  • 11.1. Bijective Proof
• 12. Positive Divisors
• 13. More on Positive Divisors
  • 13.1. General Formulas
• 14. Even More on Positive Divisors
  • 14.1. General Formulas
  • 14.2. Exploring Divisors