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<a class="assistive" href="#content">Skip to main content</a><div xmlns:svg="http://www.w3.org/2000/svg" id="latex-macros" class="hidden-content" style="display:none">\(\newcommand{\doubler}[1]{2#1}
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<h1 class="heading"><a href="vector_calculus.html"><span class="title">Vector Calculus with Python</span></a></h1>
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<p class="byline">Calculus with Python</p>
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</div>
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</div></div>
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<a href="velocities.html" data-scroll="velocities"><span class="codenumber">2</span> <span class="title">Derivatives and integrals of vector functions.</span></a><ul>
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<li><a href="velocities.html#subsection-1" data-scroll="subsection-1">Derivatives of vector functions.</a></li>
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<li><a href="velocities.html#subsection-2" data-scroll="subsection-2">Integrals of vector functions.</a></li>
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<li class="link"><a href="ArcLength.html" data-scroll="ArcLength"><span class="codenumber">3</span> <span class="title">Arc lenght: Curve properties.</span></a></li>
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</ul></nav><div class="extras"><nav><a class="pretext-link" href="https://pretextbook.org">Authored in PreTeXt</a><a href="https://www.mathjax.org"><img title="Powered by MathJax" src="https://www.mathjax.org/badge/badge.gif" alt="Powered by MathJax"></a></nav></div>
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<main class="main"><div id="content" class="pretext-content"><section xmlns:svg="http://www.w3.org/2000/svg" class="frontmatter" id="frontmatter-1"><h2 class="heading"><span class="title">Vector Calculus with Python</span></h2>
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<div class="author">
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<div class="author-name">Calculus with Python</div>
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<div class="author-info">@ youtube</div>
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</div>
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<div class="date">March 12, 2022</div>
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<section class="introduction" id="introduction-1"><p id="p-1">This interactive book aims to give a modern and straightforward presentation of several classical topics in vector calculus. The interactive book features code that runs on the pages, associated videos on YouTube, and content made to work on many different devices.</p>
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<p id="p-2">The material is developed using an XML vocabulary for research articles, textbooks, and monographs called PreTeXt (https://pretextbook.org/) and it's code cells are running a Python based mathematics software system called Sagemath (https://www.sagemath.org/).</p>
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<p id="p-3">If you have any suggestion, comment correction or would like to contact Calculus with Python, please write to calculuswithpython[at]gmail.com</p></section><div class="displaymath">
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\begin{equation*}
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©\,\,2021\,\, Marcio \,\, Rostirolla \,\, Adames\,\, -\,\, All\,\, Rights\,\, Reserved
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\end{equation*}
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</div></section></div></main>
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‎index.html‎

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‎vector_calculus.html‎

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<h1 class="heading"><a href="vector_calculus.html"><span class="title">Vector Calculus with Python</span></a></h1>
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<p class="byline">Calculus with Python</p>
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<li class="link"><a href="VectorFunctions.html" data-scroll="VectorFunctions"><span class="codenumber">1</span> <span class="title">Vector Functions: Curves and Trajectories</span></a></li>
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<a href="velocities.html" data-scroll="velocities"><span class="codenumber">2</span> <span class="title">Derivatives and integrals of vector functions.</span></a><ul>
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<li><a href="velocities.html#subsection-1" data-scroll="subsection-1">Derivatives of vector functions.</a></li>
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<li><a href="velocities.html#subsection-2" data-scroll="subsection-2">Integrals of vector functions.</a></li>
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<li><a href="frontmatter-1.html"><span class="title">Front Matter</span></a></li>
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<li><a href="VectorFunctions.html"><span class="codenumber">1</span> <span class="title">Vector Functions: Curves and Trajectories</span></a></li>
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<li><a href="velocities.html"><span class="codenumber">2</span> <span class="title">Derivatives and integrals of vector functions.</span></a></li>
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<li><a href="ArcLength.html"><span class="codenumber">3</span> <span class="title">Arc lenght: Curve properties.</span></a></li>
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