{"id":1394,"date":"2008-01-04T14:40:51","date_gmt":"2008-01-04T07:40:51","guid":{"rendered":"http:\/\/www.math.itb.ac.id\/?p=1394"},"modified":"2008-01-04T14:40:51","modified_gmt":"2008-01-04T07:40:51","slug":"3-jan-2008-gilbert-strangs-lectures","status":"publish","type":"post","link":"https:\/\/multisite.itb.ac.id\/math\/2008\/01\/04\/3-jan-2008-gilbert-strangs-lectures\/","title":{"rendered":"3 Jan 2008: Gilbert Strang&#8217;s lectures"},"content":{"rendered":"<p><strong>A brief bio:<\/strong><br \/>\nGilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College of the University of Oxford, United Kingdom. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled An Analysis of the Finite Element Method. Professor Strang served as SIAM\u2019s president from 1999-2000, chaired the U.S. National Committee on Mathematics from<br \/>\n2003\u20132004, and won the Neumann Medal of the U.S. Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences.<\/p>\n<p>Here are the abstracts of the lectures :<br \/>\n<strong>1. Starting with Good Matrices<\/strong><\/p>\n<p>This talk will select challenge problems and pieces of lectures to illustrate ideas for our teaching \u2014 all of them open for discussion and improvement.\u00a0 I start the course with examples. I believe that linear algebra is *the* most important subject in college mathematics.\u00a0 And it has changed more than any other basic course. Calculus and differential equations are wonderful: quite right. But the scope of science and engineering and management (and life) is now so much wider, and linear algebra has moved into a central place. I will comment on the spirit of the course, and the content. The web page web.mit.edu\/18.06 reflects the continuing development of this approach to teaching \u201capplied\u201d linear algebra.<\/p>\n<p><strong>2. Minimum Cuts and Maximum Area<\/strong><\/p>\n<p>The oldest competition for an optimal shape (area-maximizing) was won by the circle.\u00a0 We want to give the thousandth proof ! Then we measure the perimeter in different ways, which changes the problem\u00a0 (and has applications in medical imaging).\u00a0 If we use the line integral of |dx| + |dy|, a square would win.\u00a0 Or if the<br \/>\nboundary integral of max(|dx|,|dy|) is given, a diamond has maximum area. When the perimeter = integral of ||(dx,dy)|| around the boundary is given, the area inside is maximized by a ball in the dual norm.<\/p>\n<p>The second part describes the **max flow-min cut theorem** for continuous flows.\u00a0 Usually it is for discrete flows on edges of graphs. The maximum\u00a0 flow out of a region equals the capacity of the minimum cut. This duality connects to the isoperimetric problems that produce minimum cuts.\u00a0\u00a0 But the flows are hard to find and a prize is unclaimed.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A brief bio: Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College of the University of Oxford, United Kingdom. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and [&hellip;]<\/p>\n","protected":false},"author":1479,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,29],"tags":[],"class_list":["post-1394","post","type-post","status-publish","format-standard","hentry","category-algebra","category-events"],"_links":{"self":[{"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/posts\/1394","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/users\/1479"}],"replies":[{"embeddable":true,"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/comments?post=1394"}],"version-history":[{"count":0,"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/posts\/1394\/revisions"}],"wp:attachment":[{"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/media?parent=1394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/categories?post=1394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/multisite.itb.ac.id\/math\/wp-json\/wp\/v2\/tags?post=1394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}