Sage can be used to study general and advanced, pure and applied mathematics. This includes a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, exact linear algebra and much more. It combines various software packages and seamlessly integrates their functionality into a common experience. It is well suited for education, studying and research.
The interface is a notebook in a web-browser or the command-line. Using the notebook, Sage connects either locally to your own Sage installation or to a Sage server on the network. Inside the Sage notebook you can create embedded graphics, beautifully typeset mathematical expressions, add and delete input, and share your work across the network.
The following showcase presents some of Sage's capabilities, screenshots and gives you an overall impression of what Sage is. The examples show the lines of code in Sage on the left side, accompanied by an explanation on the right. They only show the very basic concepts of how Sage works. Please refer to the documentation material for more detailed explanations or visit the library to see Sage in action.