<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[Numerical Solver]]></title><description><![CDATA[A blog about solving algebraic equations numerically, the math behind it, and the development of the Numerical Solver app for iOS]]></description><link>https://numerical-solver-algebraic.hashnode.dev</link><generator>RSS for Node</generator><lastBuildDate>Tue, 08 Sep 2026 04:02:41 GMT</lastBuildDate><atom:link href="https://numerical-solver-algebraic.hashnode.dev/rss.xml" rel="self" type="application/rss+xml"/><language><![CDATA[en]]></language><ttl>60</ttl><item><title><![CDATA[Why I Built a Numerical Solver for All Algebraic Equations (Even the Nonlinear Ones)]]></title><description><![CDATA[Solving algebraic equations is something we all do — whether we're in school, working in engineering, or developing software. But what happens when you're dealing with a nonlinear system or you need to find all complex solutions?
That’s exactly the p...]]></description><link>https://numerical-solver-algebraic.hashnode.dev/why-i-built-a-numerical-solver-for-all-algebraic-equations-even-the-nonlinear-ones</link><guid isPermaLink="true">https://numerical-solver-algebraic.hashnode.dev/why-i-built-a-numerical-solver-for-all-algebraic-equations-even-the-nonlinear-ones</guid><category><![CDATA[#mathapp]]></category><category><![CDATA[Swift]]></category><category><![CDATA[#numerical-methods]]></category><category><![CDATA[Algebra]]></category><category><![CDATA[Mathematics]]></category><category><![CDATA[engineering]]></category><category><![CDATA[mobile app development]]></category><category><![CDATA[education]]></category><category><![CDATA[iOS]]></category><dc:creator><![CDATA[Vasilis]]></dc:creator><pubDate>Sat, 12 Jul 2025 08:05:33 GMT</pubDate><content:encoded><![CDATA[<p>Solving algebraic equations is something we all do — whether we're in school, working in engineering, or developing software. But what happens when you're dealing with a <strong>nonlinear system</strong> or you need to find <strong>all complex solutions</strong>?</p>
<p>That’s exactly the problem I set out to solve.</p>
<p>I built <a target="_blank" href="https://apps.apple.com/gr/app/numerical-solver/id6746115479"><strong>Numerical Solver</strong></a>, an iOS app that can:</p>
<p>✅ Solve <strong>any algebraic equation</strong> — linear or nonlinear<br />✅ Handle <strong>systems of equations</strong>, even over- or under-constrained ones<br />✅ Work <strong>offline</strong> with no internet required<br />✅ Find <strong>complex solutions</strong>, not just real roots<br />✅ Plot functions and display <strong>interactive charts</strong> (added in v1.3)</p>
<hr />
<h3 id="heading-why-not-use-wolframalpha-excel-or-python">🧠 Why Not Use WolframAlpha, Excel, or Python?</h3>
<p>I’ve used all of them — and they’re great. But they often fall short when:</p>
<ul>
<li><p>You need <strong>all</strong> solutions (including complex roots)</p>
</li>
<li><p>You want to solve a system on your <strong>phone</strong>, offline</p>
</li>
<li><p>You need results without setting up symbolic solvers or guesswork</p>
</li>
<li><p>You don't want to rely on the cloud for basic math problems</p>
</li>
</ul>
<p>Numerical Solver gives you the <strong>raw computational power</strong>, fast feedback, and portability that many popular tools lack.</p>
<hr />
<h3 id="heading-version-13-plotting-amp-ui-improvements">🚀 Version 1.3: Plotting &amp; UI Improvements</h3>
<p>With the latest version, you can now <strong>plot equations or import x,y data</strong> to visualize functions. The UI has been streamlined for easier entry, editing, and interpretation of results.</p>
<p>This was a heavily requested feature — and it really brings the equations to life.</p>
<hr />
<h3 id="heading-try-it-out">📲 Try It Out</h3>
<p>You can check it out here:<br />🔗 <a target="_blank" href="https://apps.apple.com/gr/app/numerical-solver/id6746115479">App Store – Numerical Solver</a></p>
<p>I’d love feedback — especially from students, engineers, or anyone who works with algebra on a regular basis. If you've ever struggled to find <strong>all solutions</strong>, this tool is made for you.</p>
]]></content:encoded></item></channel></rss>