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Diffstat (limited to 'website/mathematics/calculus/source')
-rw-r--r-- | website/mathematics/calculus/source/derivative.ms | 4 | ||||
-rw-r--r-- | website/mathematics/calculus/source/index.html | 39 |
2 files changed, 41 insertions, 2 deletions
diff --git a/website/mathematics/calculus/source/derivative.ms b/website/mathematics/calculus/source/derivative.ms index 6675046..9e4196f 100644 --- a/website/mathematics/calculus/source/derivative.ms +++ b/website/mathematics/calculus/source/derivative.ms @@ -205,10 +205,10 @@ d sub initial = f(t sub {initial}) d sub final = f(t sub {final}) .EN .EQ -\[*D] = f(t sub initial + \[*D]t) - d sub initial +\[*D]t = f(t sub initial + \[*D]t) - d sub initial .EN .EQ -\[*D] = f(t sub initial + \[*D]t) - f(t sub {initial}) +\[*D]t = f(t sub initial + \[*D]t) - f(t sub {initial}) .EN .EQ f'(t) = {f(t sub initial + \[*D]t) - f(t sub {initial})} over \[*D]t diff --git a/website/mathematics/calculus/source/index.html b/website/mathematics/calculus/source/index.html new file mode 100644 index 0000000..52aec9e --- /dev/null +++ b/website/mathematics/calculus/source/index.html @@ -0,0 +1,39 @@ +$$START TITLE +Calculus +$$END TITLE + +$$START CONTENT +<h1>Calculus</h1> +<p> +Calculus is the age-old study of infinetesimal rates of change. +I write articles here from the perspective of hyperreal numbers +instead of using limits because they were the original intuitive +way that calculus was invented (and how I originally reinvented +the derivative). +</p> + +<p> + You can also <a href="./source">browse the groff source files</a>, + as well as use, modify, and distribute them to your liking. +</p> + +<h2>Elementary Calculus</h2> +<ul> + <li><a href="./derivative.pdf">Derivative</a> -- a fundamental operation regarding calculus.</li> + <li><a href="./derivative_identities.pdf">Derivative Identities</a> -- Deriving identities related to derivatives of simple functions.</li> + <li><a href="./derivative_rules.pdf">Derivative Rules</a> -- Deriving common derivative rules.</li> +</ul> + +<h2>Multivariable</h2> +<ul> + <li><a href="./partial_derivative.pdf">Partial Derivative</a> -- a fundamental operation regarding mulitvariable calculus.</li> +</ul> + +<h2>Source</h2> +<p> + These are the groff source files I compile my PDF from. You're free to download, modify, and distribute them freely. +</p> +<ul> + <li><a href="./source/"></a></li> +</ul> +$$END CONTENT |