{"id":4730,"date":"2026-08-10T09:16:06","date_gmt":"2026-08-10T09:16:06","guid":{"rendered":"https:\/\/nokobox.com\/index.php\/item\/the-great-courses-fibonacci-numbers-and-the-golden-ratio-2024-4\/"},"modified":"2026-08-10T09:16:06","modified_gmt":"2026-08-10T09:16:06","slug":"the-great-courses-fibonacci-numbers-and-the-golden-ratio-2024-4","status":"publish","type":"digital_item","link":"https:\/\/nokobox.com\/index.php\/item\/the-great-courses-fibonacci-numbers-and-the-golden-ratio-2024-4\/","title":{"rendered":"The Great Courses \u2013 Fibonacci Numbers and the Golden Ratio 2024-4"},"content":{"rendered":"<div class=\"w-post-elm post_content\">\n<h2 dir=\"ltr\">Description<\/h2>\n<p dir=\"ltr\">Fibonacci Numbers and the Golden Ratio is a training course on Fibonacci Numbers and the Golden Ratio published by The Greate Courses online academy. The Fibonacci sequence and the golden ratio are two interconnected mathematical concepts that frequently appear in nature, art, architecture, and various fields of science. The Fibonacci sequence is a set of numbers where each number is the sum of the previous two numbers starting from 0 and 1. The golden ratio, denoted by the Greek letter \u03c6 (phi), is an irrational number approximately equal to 1.6180339887. It can be derived from the Fibonacci sequence and has unique properties related to proportions and aesthetics. Their presence in natural patterns, human design, and abstract mathematics highlights their fundamental importance and enduring appeal.<\/p>\n<p dir=\"ltr\">Understanding these concepts not only provides insight into mathematical beauty, but also provides practical tools for various scientific and artistic endeavors. In this comprehensive training course, you will get to know the concept and principles of Fibonacci numbers and the golden ratio, and you will be able to understand them well and understand their relationship with each other. This is a training course suitable for all people of any level, and its step-by-step training will help you gain a high understanding of the Fibonacci sequence and the golden ratio. This training course is recommended to all people who are interested in mathematics and want to understand it well.<\/p>\n<h3 dir=\"ltr\">What you will learn in Fibonacci Numbers and the Golden Ratio:<\/h3>\n<ul dir=\"ltr\">\n<li>Application of Fibonacci numbers<\/li>\n<li>The mysterious golden ratio<\/li>\n<li>Golden ratio and geometry<\/li>\n<li>Golden Ratio and Benford\u2019s Law<\/li>\n<li>And \u2026<\/li>\n<\/ul>\n<h3 dir=\"ltr\">Course specifications<\/h3>\n<p dir=\"ltr\">Publisher: <a href=\"https:\/\/href.li\/?https:\/\/www.thegreatcourses.com\/courses\/fibonacci-numbers-and-the-golden-ratio\" target=\"_blank\" rel=\"noopener\">The Greate Courses<\/a><br \/>Instructors: <a href=\"https:\/\/downloadlynet.ir\/tag\/arthur-t-benjamin-ph-d-2\/\" target=\"_blank\" rel=\"noopener tag\">Arthur T. Benjamin Ph.D<\/a><br \/>Language: English<br \/>Level: Introductory to Advanced<br \/>Number of Lessons: 12<br \/>Duration: 5 hours and 32 minutes<\/p>\n<h3 dir=\"ltr\">Course topics<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-917629\" src=\"https:\/\/downloadly.ir\/wp-content\/uploads\/2024\/08\/Fibonacci-Numbers-and-the-Golden-Ratio-Content.jpg\" alt=\"Fibonacci Numbers and the Golden Ratio Content\" width=\"780\" height=\"663\"><\/p>\n<h3 dir=\"ltr\">Fibonacci Numbers and the Golden Ratio Prerequisites<\/h3>\n<p dir=\"ltr\">None<\/p>\n<h3 dir=\"ltr\">Pictures<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-917630\" src=\"https:\/\/downloadly.ir\/wp-content\/uploads\/2024\/08\/Fibonacci-Numbers-and-the-Golden-Ratio.jpg\" alt=\"Fibonacci Numbers and the Golden Ratio\" width=\"780\" height=\"262\"><\/p>\n<h3 dir=\"ltr\">Fibonacci Numbers and the Golden Ratio introduction video<\/h3>\n<div style=\"width: 640px;\" class=\"wp-video\"><span class=\"mejs-offscreen\">Video Player<\/span><\/p>\n<div id=\"mep_0\" class=\"mejs-container mejs-container-keyboard-inactive wp-video-shortcode mejs-video\" tabindex=\"0\" role=\"application\" aria-label=\"Video Player\" style=\"width: 640px; height: 360px; min-width: 217px;\">\n<div class=\"mejs-inner\">\n<div class=\"mejs-mediaelement\"><mediaelementwrapper id=\"video-133797-1\"><video class=\"wp-video-shortcode\" id=\"video-133797-1_html5\" width=\"640\" height=\"360\" preload=\"metadata\" src=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Fibonacci_Numbers_and_the_Golden_Ratio_Downloadly.ir.mp4?_=1\" style=\"width: 640px; height: 360px;\"><source type=\"video\/mp4\" src=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Fibonacci_Numbers_and_the_Golden_Ratio_Downloadly.ir.mp4?_=1\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Fibonacci_Numbers_and_the_Golden_Ratio_Downloadly.ir.mp4?nocache=1786102116258\">https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Fibonacci_Numbers_and_the_Golden_Ratio_Downloadly.ir.mp4<\/a><\/video><\/mediaelementwrapper><\/div>\n<div class=\"mejs-layers\">\n<div class=\"mejs-poster mejs-layer\" style=\"display: none; width: 100%; height: 100%;\"><\/div>\n<div class=\"mejs-overlay mejs-layer\" style=\"display: none; width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-loading\"><span class=\"mejs-overlay-loading-bg-img\"><\/span><\/div>\n<\/div>\n<div class=\"mejs-overlay mejs-layer\" style=\"display: none; width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-error\"><\/div>\n<\/div>\n<div class=\"mejs-overlay mejs-layer mejs-overlay-play\" style=\"width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-button\" role=\"button\" tabindex=\"0\" aria-label=\"Play\" aria-pressed=\"false\"><\/div>\n<\/div>\n<\/div>\n<div class=\"mejs-controls\">\n<div class=\"mejs-button mejs-playpause-button mejs-play\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Play\" aria-label=\"Play\" tabindex=\"0\"><\/button><\/div>\n<div class=\"mejs-time mejs-currenttime-container\" role=\"timer\" aria-live=\"off\"><span class=\"mejs-currenttime\">00:00<\/span><\/div>\n<div class=\"mejs-time-rail\"><span class=\"mejs-time-total mejs-time-slider\" role=\"slider\" tabindex=\"0\" aria-label=\"Time Slider\" aria-valuemin=\"0\" aria-valuemax=\"0\" aria-valuenow=\"0\" aria-valuetext=\"00:00\"><span class=\"mejs-time-buffering\" style=\"display: none;\"><\/span><span class=\"mejs-time-loaded\"><\/span><span class=\"mejs-time-current\"><\/span><span class=\"mejs-time-hovered no-hover\"><\/span><span class=\"mejs-time-handle\"><span class=\"mejs-time-handle-content\"><\/span><\/span><span class=\"mejs-time-float\"><span class=\"mejs-time-float-current\">00:00<\/span><span class=\"mejs-time-float-corner\"><\/span><\/span><\/span><\/div>\n<div class=\"mejs-time mejs-duration-container\"><span class=\"mejs-duration\">00:00<\/span><\/div>\n<div class=\"mejs-button mejs-volume-button mejs-mute\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Mute\" aria-label=\"Mute\" tabindex=\"0\"><\/button><a href=\"javascript:void(0);\" class=\"mejs-volume-slider\" aria-label=\"Volume Slider\" aria-valuemin=\"0\" aria-valuemax=\"100\" role=\"slider\" aria-orientation=\"vertical\"><span class=\"mejs-offscreen\">Use Up\/Down Arrow keys to increase or decrease volume.<\/span><\/p>\n<div class=\"mejs-volume-total\">\n<div class=\"mejs-volume-current\" style=\"bottom: 0px; height: 100%;\"><\/div>\n<div class=\"mejs-volume-handle\" style=\"bottom: 100%; margin-bottom: -3px;\"><\/div>\n<\/div>\n<p><\/a><\/div>\n<div class=\"mejs-button mejs-fullscreen-button\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Fullscreen\" aria-label=\"Fullscreen\" tabindex=\"0\"><\/button><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3 dir=\"ltr\"><span class=\"notranslate\">Installation guide<\/span><\/h3>\n<p dir=\"ltr\">After Extract, watch with your favorite Player.<\/p>\n<p dir=\"ltr\">Subtitle: None<\/p>\n<p dir=\"ltr\">Quality: 720p<\/p>\n<h3 dir=\"ltr\">Download link<\/h3>\n<p dir=\"ltr\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/The_Greate_Courses_Fibonacci_Numbers_and_the_Golden_Ratio_2024-4.part1_Downloadly.ir.rar?nocache=1786102115\">Download Part 1 \u2013 1 GB<\/a><\/p>\n<p dir=\"ltr\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/The_Greate_Courses_Fibonacci_Numbers_and_the_Golden_Ratio_2024-4.part2_Downloadly.ir.rar?nocache=1786102115\">Download Part 2 \u2013 1 GB<\/a><\/p>\n<p dir=\"ltr\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/The_Greate_Courses_Fibonacci_Numbers_and_the_Golden_Ratio_2024-4.part3_Downloadly.ir.rar?nocache=1786102115\">Download Part 3 \u2013 1 GB<\/a><\/p>\n<p dir=\"ltr\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/The_Greate_Courses_Fibonacci_Numbers_and_the_Golden_Ratio_2024-4.part4_Downloadly.ir.rar?nocache=1786102115\">Download Part 4 \u2013 48 MB<\/a><\/p>\n<h5 dir=\"ltr\">File password (s):&nbsp;<a>www.downloadly.ir<\/a><\/h5>\n<h3 dir=\"ltr\">Size<\/h3>\n<p dir=\"ltr\">3 GB<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Description Fibonacci Numbers and the Golden Ratio is a training course on Fibonacci Numbers and the Golden Ratio published by The Greate Courses online academy<\/p>\n","protected":false},"author":1,"template":"","dgi_category":[10458],"dgi_tag":[49261,49262,49263,49264,49265,49266,49267,49268,49269],"class_list":["post-4730","digital_item","type-digital_item","status-publish","has-post-thumbnail","hentry","dgi_category-video-tutorials","dgi_tag-arthur-t-benjamin-ph-d","dgi_tag-fibonacci-numbers-and-the-golden-ratio","dgi_tag-fibonacci-numbers-and-the-golden-ratio-download","dgi_tag-fibonacci-numbers-and-the-golden-ratio-free","dgi_tag-fibonacci-numbers-and-the-golden-ratio-free-download","dgi_tag-the-greate-courses-fibonacci-numbers-and-the-golden-ratio","dgi_tag-the-greate-courses-fibonacci-numbers-and-the-golden-ratio-download","dgi_tag-the-greate-courses-fibonacci-numbers-and-the-golden-ratio-free","dgi_tag-the-greate-courses-fibonacci-numbers-and-the-golden-ratio-free-download"],"_links":{"self":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item\/4730","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item"}],"about":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/types\/digital_item"}],"author":[{"embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":0,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item\/4730\/revisions"}],"wp:attachment":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/media?parent=4730"}],"wp:term":[{"taxonomy":"dgi_category","embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/dgi_category?post=4730"},{"taxonomy":"dgi_tag","embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/dgi_tag?post=4730"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}