Websites
 The Master List of Help
Resources is a website where you will find a registry of all the
items which could go on this list. That includes tutorials, quickstart
guides, reference materials, books, web tours, videos, and even
discussion groups. There is a small but growing number of resources that
are written in languages other than English.

The Standard SageMath Documentation
is the most complete and uptodate collection of Sage documentation,
covering topics from very elementary to very advanced. If you are just a
beginner, or you are a software developer eager to contribute your own code
to Sage, or anything in the middle, these are the resources you need. Here
is a list of some of the most important ones:

The
Thematic Tutorials: This is the housing for a very large number
of Sage tutorials. They are geared at common areas of mathematics,
like "Calculus", "Group Theory", "Linear
Programming", or "Algebraic Combinatorics."

The
Web Tour: Aimed at mathematics faculty, this tour can be quite informative
about some of Sage's advanced features, as well as its basic ones.

The official
Sage Reference Manual: This is a very useful resource, but it is not for
beginners! Be warned, it is literally thousands of pages. This is like
an encyclopedia—you don't read it cover to cover; instead you
look up what you need.

The official
Web Tutorial: This is geared more toward graduate
students, senior math juniors, and faculty.

The
Faculty Tutorials: As the website describes itself, "this
is a set of tutorials developed for the MAA PREP workshops 'Sage:
Using OpenSource Mathematics Software with Undergraduates'
(funding provided by the National Science Foundation under grant DUE
0817071) in the summers of 2010–2012."

The
Quickstart Tutorials: These are part of the Faculty
Tutorials just mentioned above. They are geared toward specific
undergraduate math courses, and are meant to be comprehensive to a
student who has just completed that particular course. Furthermore,
they are all very short. Many are a single page.

The Feature Tour: If
you would like to show your friends, parents, nonmathematicians, or
even some of your professors or colleagues, what Sage is about and
what is capable of, this is the place to go. In particular, there is
a Quickstart
Tour, which is a bit mathheavy, but quite interesting, and a
Graphics Tour
about the beautiful graphics that Sage can create.

If you would like to know more about Sage interactive capabilities, there
is a list Sage Interacts
that you can visit. These examples cover many areas of study such as
mathematics, bioinformatics, physics, statistics, etc. This is a resource
instructors will find particularly useful.

Mike O'Sullivan and David Monarres'
Online Tutorial has some topics that we did not reach in Sage
for Undergraduates. Those include abstract algebra, coding theory,
and writing larger programming projects. It is also available as a
PDF document.

Paul Lutus, Exploring
Mathematics with Sage does a good job explaining the opensource
culture of Sage development. It also has some very interesting application
problems. Be sure to look at the top of your screen for the pulldown menu
that shows all of the sections. Otherwise, you won't be able to navigate
beyond the introduction.
Free Books

Paul Zimmermann, et.al,
Computational Mathematics with SageMath
is an excellent resource to learn more about Sage. In many ways, it can
serve as a sequel to Sage for Undergraduates. Whether you are a
highschool student, an undergraduate student, a graduate student, a
teacher, or a researcher, this book has something to offer to you. If you
would like to have a printed version, it is also available as a
SIAM Book. Also, there are translations available in
German and French,
although they may not be as uptodate as the English version.
(This book has been endorsed by the
American Institute of Mathematics
Open Textbook Initiative.)

Robert Beezer, A First Course in
Linear Algebra is a highly recommended "introductory textbook
designed for university sophomores and juniors." The online version
of this book uses Sage code embedded directly in the text and powered by
the SageCell Server, so you will
be able to run Sage programs from within the book. You will not
only learn linear algebra, but also how to use Sage to solve problems in
that context. You can also buy a printed
version or download a PDF
version.
(This book has been endorsed by the
American Institute of Mathematics
Open Textbook Initiative.)

Thomas W. Judson,
Abstract Algebra:
Theory and Applications is a "textbook designed to teach
the principles and theory of abstract algebra to college juniors and
seniors in a rigorous manner." The online version of this book is
powered by the SageCell Server,
so it will not only teach you how to use Sage in a context applied to abstract
algebra, but also will allow you to actually use Sage from within the book.
Besides the usual exercises that you would expect in a book like this,
there are many Sage exercises contributed by Prof. Robert Beezer. You
can buy a printed version
or download a PDF version.
(This book has been endorsed by the
American Institute of Mathematics
Open Textbook Initiative.)

William Stein, Elementary
Number Theory: Primes, Congruences, and Sequences is a
"textbook about classical elementary number theory and elliptic
curves," written by the creator of Sage himself. The book makes
extensive use of Sage in examples, so it is an excellent resource for a
course in elementary number theory, with a computational approach. The
book was published
by SpringerVerlag and is also available on
Amazon. Additionally, you can download the
PDF version, generously
authorized by the publisher.
(This book has been endorsed by the
American Institute of Mathematics
Open Textbook Initiative.)

Thomas W. Judson,
The
Ordinary Differential Equations Project is an ongoing effort by
Prof. Judson to write a book dealing with ordinary differential
equations using Sage. Currently, the book is not yet completed, but it is
an excellent reference material on the subject.
NonFree Books

Razvan A. Mezei,
An Introduction to SAGE Programming, with Applications to SAGE Interacts
for Numerical Methods is an introductory book to Sage and to the
creation of interactive applets with Sage. Most topics it covers overlap
with what I deal with in Sage for Undergraduates. However, this
book puts an emphasis on the creation of Sage interacts, which will be
useful for the instructor wishing to create demonstrations of mathematical
concepts for her/his students. This book is not intended for a comprehensive
course on numerical methods. If that is what you are looking for, see the
next item of this list.

George A. Anastassiou and Razvan A. Mezei,
Numerical
Analysis Using Sage is a fantastic introduction to numerical
methods. Although this book does use Sage, it is primarily meant for a
course on numerical methods, so its focus is on the mathematical algorithms.
However, you will be able to improve your programming skills by learning
how to implementing those algorithms as Sage/Python subroutines.

Craig Finch,
Sage Beginner's guide is an introductory book to Sage. Some topics
it covers overlap with the topics treated by Sage for Undergraduates,
but both books complement each other. If you have access to this book, you
can use it as an additional help resource for Sage for Undergraduates,
and vice versa. However, if you don't have access to this book, there is no
need to buy it—unless it is a mandatory lecture for your course.
Other Sage Resources

A friend of mine, Travis Scrimshaw, has made a series of four videos that
cover a great deal about Sage. The videos were made in July of 2013, so
they could be a little outdated. However, they still are an excellent
learning resource.

Several Sage users have made
Quick Reference Cards,
to help them learn the commands and have them handy while using Sage.

The Ask SageMath forum
is a place where anybody can ask a question about Sage, and an expert on
Sage will answer it soon. There is a vibrant activity there, since the
community is very large.

The Sage Community has created a series of mailing lists and chat rooms that
you can always consult. Here is a list of some of them:

sagesupport:
This is a forum similar to Ask SageMath. You can ask your
questions here.

sageedu: This forum
is for discussing the use of Sage for educational purposes.

sagefinance:
This is for discussions about the use of Sage in Financial Mathematics.

sagewindows:
Do you use Sage on Microsoft Windows™? Here you can post your
questions specific to that operating system.

Note: Other Sage forums and mailing lists can be found
here
and here.

There is a list of
Books that Use Sage. Of course, some of these are about exotic
researchoriented topics meant for PhDstudents in mathematics. However,
several of them are entirely suitable for undergraduates. On the same
web page, you will find a bigger list that also contains articles and
theses citing Sage.
Python Programming Resources

If you know how to program, but not in Python, then Mark Pilgrim's
Dive into Python 3 is an
excellent and uptodate book to start. You can read it for free as a
web page, or buy a copy from
Amazon.

If you always wanted to know how the computer works when executing some
Python code, then you will love
Python Tutor, an online visualizer
of code execution. Just click on "Start visualizing your code"
on that page. You will be presented with an empty text field where you
can write a Python program. When you are finished, press the "Visualize
Execution" button, and watch this website do its magic. On the left,
you will see your code and some buttons to control the execution; on the
right, you will see the instructions executing and the output of your program.
As with the SageCell Server,
you can create permaliks to share your code visualizations.

The Scipy Lecture Notes are for
the scientist, engineer or mathematician wishing to use Python in her/his
daily work. This is a series of tutorials, but be warned, they are very
advanced!
Report a Broken Link or an Outdated Resource
Last updated on September 29th, 2021.