{"id":6279,"date":"2012-03-11T00:51:13","date_gmt":"2012-03-11T08:51:13","guid":{"rendered":"http:\/\/www.horace.org\/blog\/?p=6279"},"modified":"2012-03-11T00:53:32","modified_gmt":"2012-03-11T08:53:32","slug":"is-math-still-relevant","status":"publish","type":"post","link":"https:\/\/www.horace.org\/blog\/2012\/03\/11\/is-math-still-relevant\/","title":{"rendered":"Is Math Still Relevant?"},"content":{"rendered":"<blockquote><p>\nIs math still relevant?  That depends on your metaphysical view of the world.  If the reality is indeed appearance of mathematics as some metaphysics theories suggest and we are living in endless possibility of equations, then maths is the only way to understand the Truth.\n<\/p><\/blockquote>\n<p>By Robert W. Lucky, IEEE Spectrum, March 2012<br \/>\nThe queen of the sciences may someday lose its royal status<\/p>\n<p>Long ago, when I was a freshman in \u00adengineering school, there was a required course in mechanical drawing. \u201cYou had better learn this skill,\u201d the instructor said, \u201cbecause all engineers start their careers at the \u00addrafting table.\u201d<\/p>\n<p>This was an ominous beginning to my education, but as it turned out, he was wrong. Neither I nor, I suspect, any of my classmates began our careers at the drafting table.<\/p>\n<p>These days, engineers aren\u2019t routinely taught drawing, but they spend a lot of time learning another skill that may be similarly unnecessary: mathematics. I confess this thought hadn\u2019t occurred to me until recently, when a friend who teaches at a leading university made an off-hand comment. \u201cIs it \u00adpossible,\u201d he suggested, \u201cthat the era of math\u00adematics in electrical \u00adengineering is coming to an end?\u201d<\/p>\n<p>When I asked him about this disturbing idea, he said that he had only been \u00adtrying to be provocative and that his graduate students were now writing theses that were more mathematical than ever. I felt reassured that the mathematical basis of engineering is strong. But still, I wonder to what extent\u2014and for how long\u2014today\u2019s under\u00adgraduate engineering students will be using classical \u00admathematics as their careers unfold.<\/p>\n<p>There are several trends that might suggest a diminishing role for mathematics in engineering work. First, there is the rise of software engineering as a separate discipline. It just doesn\u2019t take as much math to write an operating system as it does to design a printed circuit board. Programming is rigidly structured and, at the same time, an evolving art form\u2014neither of which is especially amenable to mathematical analysis.<\/p>\n<p>Another trend veering us away from classical math is the increasing dependence on programs such as Matlab and Maple. The pencil-and-paper calculations with which we evaluated the relative performance of variations in design are now more easily made by simulation software packages\u2014which, with their vast libraries of pre\u00adpackaged functions and data, are often more powerful. A purist might ask: Is using Matlab doing math? And of course, the answer is that sometimes it is, and sometimes it isn\u2019t.<\/p>\n<p>A third trend is the growing importance of a class of problems termed \u201cwicked,\u201d which involve social, political, economic, and un\u00addefined or unknown issues that make the application of mathematics very difficult. The world is seemingly full of such frus\u00adtrating but important problems.<\/p>\n<p>These trends notwithstanding, we should recognize the role of mathematics in the discovery of fundamental properties and truth. Maxwell\u2019s equations\u2014which are inscribed in marble in the foyer of the National Academy of Engineering\u2014foretold the possibility of radio. It took about half a \u00adcentury for those radios to reach Shannon\u2019s limit\u2014described by his equation for channel \u00adcapacity\u2014but at least we knew where we were headed.<\/p>\n<p>Theoretical physicists have explained through math the workings of the universe and even predicted the existence of previously unknown fundamental particles. The iconic image I carry in my mind is of Einstein at a blackboard that\u2019s covered with tensor-filled equations. It is remarkable that one person scribbling math can uncover such secrets. It is as if the universe itself understands and obeys the mathematics that we humans invented.<\/p>\n<p>There have been many philosophical discussions through the years about this wonderful power of math. In a famous 1960 paper en\u00adtitled \u201cThe Unreasonable Effectiveness of Mathematics in the Natural Sciences,\u201d the physicist Eugene Wigner wrote, \u201cThe miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift [that] we neither understand nor deserve.\u201d In a 1980 paper with a similar title, the computer science pioneer Richard Hamming tried to answer the question, \u201cHow can it be that simple mathematics suffices to predict so much?\u201d<\/p>\n<p>This \u201cunreasonable effectiveness\u201d of mathematics will continue to be at the heart of engineering, but perhaps the way we use math will change. Still, it\u2019s hard to imagine Einstein running simulations on his laptop.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Is math still relevant? That depends on your metaphysical view of the world. If the reality is indeed appearance of mathematics as some metaphysics theories suggest and we are living in endless possibility of equations, then maths is the only way to understand the Truth. By Robert W. Lucky, IEEE Spectrum, March 2012 The queen &hellip; <a href=\"https:\/\/www.horace.org\/blog\/2012\/03\/11\/is-math-still-relevant\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Is Math Still Relevant?<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"lc_iscn_info":[],"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[15],"tags":[42,326,798],"class_list":["post-6279","post","type-post","status-publish","format-standard","hentry","category-_newsclips","tag-science","tag-ieee-spectrum","tag-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Is Math Still Relevant? - \u54f2\u5b50\u6232 Philosophist\u2019s Camp<\/title>\n<meta name=\"description\" content=\"Is math still relevant? 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They should do a follow up research and survey a large sample of engineering girls, see how many of them had a boyfriend in high school.\u2026","rel":"","context":"In &quot;News Clips&quot;","block_context":{"text":"News Clips","link":"https:\/\/www.horace.org\/blog\/category\/_reference\/_newsclips\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":3299,"url":"https:\/\/www.horace.org\/blog\/2009\/07\/31\/the-rise-and-fall-of-the-quants\/","url_meta":{"origin":6279,"position":1},"title":"The Rise and Fall of the Quants","author":"hevangel","date":"July 31, 2009","format":false,"excerpt":"The best career for Engineering, Math and Physics Ph.D. are in the wall street. Maybe studying hard science would become back in fashion again with the potential reward. It is just odd that those who want to earn quick money in finance have the will to earn a hard science\u2026","rel":"","context":"In &quot;News Clips&quot;","block_context":{"text":"News Clips","link":"https:\/\/www.horace.org\/blog\/category\/_reference\/_newsclips\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":5498,"url":"https:\/\/www.horace.org\/blog\/2011\/06\/24\/when-the-problem-is-the-problem\/","url_meta":{"origin":6279,"position":2},"title":"When the Problem Is the Problem","author":"hevangel","date":"June 24, 2011","format":false,"excerpt":"This is the only thing I learned from my master degree. Asking the right question is half way done to get the right answer. In fact asking the right question probably more important than getting the right answer. Once you stated the question correctly, things magically fall into place and\u2026","rel":"","context":"In &quot;Daily Scribble&quot;","block_context":{"text":"Daily Scribble","link":"https:\/\/www.horace.org\/blog\/category\/_scribble\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":3311,"url":"https:\/\/www.horace.org\/blog\/2009\/08\/06\/robots-the-expensive-way-to-prepare-cheap-food\/","url_meta":{"origin":6279,"position":3},"title":"Robots: The Expensive Way to Prepare Cheap Food","author":"hevangel","date":"August 6, 2009","format":false,"excerpt":"Watch out! Minimum wage unskilled workers, there robots out there to get your low paid jobs! I wonder what will the supporters of the minimum wage say; Be a Luddite and ban robots from fast food to protect the livelihood of unskilled workers? 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