<story><title>Calculus For The People</title><url>https://www.geogebra.org/m/x39ys4d7#material/phuyhqtw</url></story><parent_chain></parent_chain><comment><author>newprint</author><text>Can I give a very practical advise to people who are reading this and trying to learn math ? As someone, who received a very strong mathematical training in a former Soviet Union, here is my practical advise:&lt;p&gt;1. Calculus books, just like this one, are absolutely impractical in real life situation, especially, if your goal is &amp;quot;Industrial Mathematics&amp;quot;. All you will learn, are basic calculus notations. You will, at best be able to solve very basic toy problems. 
2. Instead, learn basic algebra and combinatorics on extremely proficient level. This is what often is missing in US education.&lt;p&gt;In order to get to 2. 
3. Learn how to do a. complex algebraic manipulations, b. solve complex algebraic inequalities, c. basics of number theory, d. combinatorics. Notice, nothing going beyond Real Numbers and I&amp;#x27;m not even including Euclidean geometry.&lt;p&gt;4. Best sources for that are Math Olympiad problems and technique to solve them. You will learn how to crack extremely complicated algebraic expression, how to factor them and represent them in different forms, how to do tricky substitutions. Same technique is applicable in working with complicated integrals&amp;#x2F;diff. There is an entire layer of mathematics that devoted to inequalities and they are very applicable in solving calculus problems. Most of the technique and materials to solve those problems aren&amp;#x27;t taught in high schools and even college course.&lt;p&gt;Being able to solve moderately complex algebraic problems is must before learning calculus and analysis. Crush your ego, google&amp;#x2F;amazon for books and materials on how to solve (basic) Olympic problems that are intended for HS 9-12 graders and see what you can do.</text></comment>
<story><title>Calculus For The People</title><url>https://www.geogebra.org/m/x39ys4d7#material/phuyhqtw</url></story><parent_chain></parent_chain><comment><author>pugio</author><text>For a truly &amp;quot;from scratch&amp;quot; and deeply empowering introduction to the basic notions in calculus (and all mathematics), I&amp;#x27;ve found nothing better than Burn Math Class[1] by Jason Wilkes. It assumes nothing but basic arithmetic, and proceeds to guide you through how to invent maths for yourself.&lt;p&gt;[1] &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;www.amazon.com&amp;#x2F;Burn-Math-Class-Reinvent-Mathematics&amp;#x2F;dp&amp;#x2F;0465053734&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;www.amazon.com&amp;#x2F;Burn-Math-Class-Reinvent-Mathematics&amp;#x2F;...&lt;/a&gt;</text></comment>