<div class="product-page-section table-of-contents standard-contents" style="box-sizing: border-box; margin-bottom: 36px; color: rgb(51, 51, 51); font-family: Lato, -apple-system, BlinkMacSystemFont, "avenir next", avenir, "helvetica neue", helvetica, Ubuntu, roboto, noto, "segoe ui", arial, sans-serif; font-size: 17.25px; background-color: rgb(255, 255, 255);"> <h2 class="header" style="box-sizing: border-box; line-height: 1.1; color: inherit; margin: 0px 0px 10px; font-size: 27px; text-transform: lowercase;"><span style="box-sizing: border-box;">table of contents</span></h2> <div class="toc" style="box-sizing: border-box; padding-top: 0px; user-select: none; margin-bottom: 0px; padding-bottom: 0px;"> <div class="sect1 available free" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-1?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_1" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-1?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">1</span>LEARNING MATH WITH CODE</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <h1 id="part_id_1" class="sect0 available" style="box-sizing: border-box; font-size: 18px; margin: 19px 0px 0px; line-height: 22px; color: inherit; text-transform: uppercase; border-bottom: thin solid rgb(119, 119, 119); padding-bottom: 0.25em;">PART 1: VECTORS AND GRAPHICS</h1> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 19px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-2?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_2" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-2?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">2</span>DRAWING WITH 2D VECTORS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-3?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_3" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-3?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">3</span>ASCENDING TO THE 3D WORLD</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-4?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_4" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-4?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">4</span>TRANSFORMING VECTORS AND GRAPHICS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-5?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_5" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-5?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">5</span>COMPUTING TRANSFORMATIONS WITH MATRICES</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-6?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_6" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-6?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">6</span>GENERALIZING TO HIGHER DIMENSIONS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-7?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_7" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-7?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">7</span>SOLVING SYSTEMS OF LINEAR EQUATIONS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <h1 id="part_id_2" class="sect0 available" style="box-sizing: border-box; font-size: 18px; margin: 19px 0px 0px; line-height: 22px; color: inherit; text-transform: uppercase; border-bottom: thin solid rgb(119, 119, 119); padding-bottom: 0.25em;">PART 2: CALCULUS AND PHYSICAL SIMULATION</h1> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 19px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-8?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_8" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-8?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">8</span>UNDERSTANDING RATES OF CHANGE</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-9?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_9" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-9?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">9</span>SIMULATING MOVING OBJECTS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-10?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_10" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-10?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">10</span>WORKING WITH SYMBOLIC EXPRESSIONS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-11?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_11" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-11?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">11</span>SIMULATING FORCE FIELDS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-12?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_12" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-12?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">12</span>OPTIMIZING A PHYSICAL SYSTEM</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-13?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_13" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-13?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">13</span>ANALYZING SOUND WAVES WITH A FOURIER SERIES</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <h1 id="part_id_3" class="sect0 available" style="box-sizing: border-box; font-size: 18px; margin: 19px 0px 0px; line-height: 22px; color: inherit; text-transform: uppercase; border-bottom: thin solid rgb(119, 119, 119); padding-bottom: 0.25em;">PART 3: MACHINE LEARNING APPLICATIONS</h1> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 19px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-14?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_14" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-14?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">14</span>FITTING FUNCTIONS TO DATA</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-15?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_15" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-15?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">15</span>CLASSIFYING DATA WITH LOGISTIC REGRESSION</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/chapter-16?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="chapter_id_16" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/chapter-16?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;"><span class="leading-number" style="box-sizing: border-box; margin-right: 0.5em; display: inline-block; white-space: nowrap;">16</span>TRAINING NEURAL NETWORKS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <h1 id="part" class="sect0" style="box-sizing: border-box; font-size: 18px; margin: 19px 0px 0px; line-height: 22px; color: inherit; text-transform: uppercase; border-bottom: thin solid rgb(119, 119, 119); padding-bottom: 0.25em;">APPENDIXES</h1> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 19px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/appendix-a?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="_getting_set_up_with_python" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/appendix-a?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;">APPENDIX A: GETTING SET UP WITH PYTHON</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/appendix-b?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="_python_tips_and_tricks" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/appendix-b?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;">APPENDIX B: PYTHON TIPS AND TRICKS</a><a class="toc-controllo toc-expando" style="box-sizing: border-box; background-color: transparent; margin: -0.5em -0.5em -0.5em 0px; padding: 0.5em; cursor: pointer;"><span class="fa fa-caret-right expando" title="Expand" style="box-sizing: border-box; -webkit-font-smoothing: antialiased; display: inline-block; font-variant-numeric: normal; font-variant-east-asian: normal; text-rendering: auto; line-height: 1; font-family: "Font Awesome 5 Free";"></span></a></h2> </div> <div class="sect1 available" style="box-sizing: border-box; font-weight: bold; text-transform: uppercase; margin-top: 6px;"> <span class="book_actions" style="box-sizing: border-box;"><a class="view-in-livebook" href="https://livebook.manning.com/book/math-for-programmers/appendix-c?origin=product-toc" title="Read in liveBook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 51, 51); text-decoration-line: none; display: block; float: right;"><span class="sr-only" style="box-sizing: border-box; border: 0px; clip: rect(0px, 0px, 0px, 0px); height: 1px; margin: -1px; overflow: hidden; padding: 0px; position: absolute; width: 1px;">READ IN LIVEBOOK</span></a></span> <h2 id="_loading_and_rendering_3d_models_with_opengl_and_pygame" style="box-sizing: border-box; line-height: 22px; color: inherit; margin: 0px; font-size: 15px; cursor: pointer;"><a href="https://livebook.manning.com/book/math-for-programmers/appendix-c?origin=product-toc" title="Read in liveBook" class="read-in-livebook" target="_blank" style="box-sizing: border-box; background-color: transparent; color: rgb(64, 127, 191); text-decoration-line: none;">APPENDIX C: LOADING AND RENDERING 3D MODELS WITH OPENGL AND PYGAME</a></h2> </div> </div> </div>