Mathematica

Mathematica is a scientific computation and presentation software that is utilized across almost all scientific fields as well as industry. Here I have aggregated a few tools to hopefully help me in helping you to learn more about Mathematica, math, and how to keep moving forward in science.

I have written a few guides along the glorious journey that is Mathematica. The first of which, Mathematica for the Constantly Busy, is meant as an introductory course covering basic syntax, important mathematical functions, data manipulation operations, and useful functions. The second installment of the series, Mathematica for the Mostly Busy, looks at some of the same concepts in a deeper, more advanced light, while still introducing new functions and operations.

Mathematica for Constantly Busy (Short Version)

For when you're really constantly busy, I have also made a short version of Mathematica for Constantly Busy.

For when you're constantly busy, but also want a more guided introduction into Mathematica, I have created just that. This version is meant to be read like a book, since it has commentary on sections and builds on what has come before, also with exercises at the end of each chapter.

In this second installment of the Mathematica for the Busy series, we learn about more advanced topics both in math and Mathematica. A more in-depth look into the syntax is done to help further customize the code and make it do exactly what you want. On the math side, subjects including more derivatives, region integrals, Fourier Series/Transform, and Laplace Transform. For Linear Algebra, we very brief introduction to tensors is done and how to manipulate them in Mathematica. For Differential Equations, we will delve into the theory and application of partial differential equations and how they relate to topics already covered.

Note: This is is a work in progress, but I thought I could share what I have so far. I've created a skeleton outline of the overall piece, as can be seen by the numerous blank pages with only section headings. This work is subject to changes at any time. Also, as you can see by the date on the cover, I haven't update this document in some time, so there may be (as always) a few errors that of which I am not aware.

Note 2: So far this book covers only the syntax and calculus sections.

If these guides don't mesh with your learning style, that is perfectly okay. All I ask is that you don't give up and strive to keep going and learning. That being said, here are some other resources that can be found online.

• The Mathematica StackExchange forum has an extensive user base that is always active and willing to help. The users Mr. Wizard, and March are exceptionally helpful.
• Stephen Wolframs An Elementary Introduction to the Wolfram Language which not only is free to read online, but also free to download in Mathematica notebook format.
• If you already have programming experience, I suggest The Wolfram Language: Fast Introduction for Programmers.
• The Wolfram Youtube channel has a bunch of helpful videos not only for learning the Wolfram Language, but also other stuff relating to Wolfram.
• If you're using newer version of Mathematica, the beautifully-curated, online documentation is kept up to date with all the newest features and functions.

Here I have uploaded some of my own work that I think is interesting (or it just looks pretty cool). Enjoy!

Note: In order to view the notebooks in an interactive way you either need Mathematica on the computer you are viewing, or the CDF player from Wolfram which is available here.

Note: The gravity wave notebook and gif is not my own creation, and came from here.