> For the complete documentation index, see [llms.txt](https://panav.gitbook.io/robotics-handbook/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://panav.gitbook.io/robotics-handbook/foundations/foundations.md).

# Foundations (overview)

Mathematical foundations for robotics - linear algebra, calculus, and geometric concepts essential for kinematics, control, and perception.

The mathematics every robotics engineer leans on - linear algebra for transforms, frames, and state; calculus for motion, rates, and optimization. Start here if the math under the rest of the handbook feels shaky.

<table data-view="cards"><thead><tr><th></th><th data-type="content-ref"></th><th data-hidden data-card-cover data-type="files"></th></tr></thead><tbody><tr><td>Linear Algebra for Robotics</td><td><a href="/robotics-handbook/foundations/linear-algebra-for-robotics.md">Linear Algebra for Robotics</a></td><td><a href="https://923066007-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FJR2yBCOFnSaxfostbWYx%2Fuploads%2Fgit-blob-1dcc11231c09106fc1ca2f684666d373e9d67522%2Fmath-for-robotics.gif?alt=media">math-for-robotics.gif</a></td></tr><tr><td>Calculus</td><td><a href="/robotics-handbook/foundations/calculus.md">Calculus</a></td><td><a href="https://923066007-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FJR2yBCOFnSaxfostbWYx%2Fuploads%2Fgit-blob-871947bbeafb2a85ab2fa9b89bcf902cb5477984%2Fcalculus.gif?alt=media">calculus.gif</a></td></tr></tbody></table>