#4457: tutorial: add find_root() to "2.4.1 Solving Equations"
---------------------------+------------------------------------------------
Reporter: dhbradshaw | Owner: tba
Type: enhancement | Status: new
Priority: major | Milestone:
Component: documentation | Keywords:
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Currently, the section in the tutorial on solving equations refers only to
analytical solutions, which are found using "solve()." When solve fails,
it may be worth using a numerical solution.
For equations with a single variable, this can be done using find_root().
It will save new users time to find "find_root()" mentioned with "solve()"
in the section on solving equations.
Examples:
{{{id=1|
var('theta')
///
<html><span class="math">\theta</span></html>
}}}
{{{id=2|
solve(theta^2 + 1==4)
///
<html><span class="math">\left[\theta = -\sqrt{ 3 },
\theta = \sqrt{ 3 }\right]</span></html>
}}}
{{{id=3|
solve(cos(theta)==sin(theta))
///
<html><span class="math">\left[\sin \left( \theta \right) = \cos \left(
\theta \right)\right]</span></html>
}}}
{{{id=4|
find_root(cos(theta)==sin(theta),0,pi/2)
///
<html><span class="math">0.785398163397</span></html>
}}}
{{{id=5|
pi.n()/4
///
<html><span class="math">0.785398163397448</span></html>
}}}
{{{id=6|
///
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4457>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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