{"id":1788,"date":"2010-05-10T20:44:19","date_gmt":"2010-05-10T18:44:19","guid":{"rendered":"https:\/\/wpethzprd.ethz.ch\/kowalski\/?p=1788"},"modified":"2024-02-20T13:40:53","modified_gmt":"2024-02-20T11:40:53","slug":"on-the-usefulness-of-teaching-calculus-especially-in-zurich","status":"publish","type":"post","link":"https:\/\/blogs.ethz.ch\/kowalski\/2010\/05\/10\/on-the-usefulness-of-teaching-calculus-especially-in-zurich\/","title":{"rendered":"On the usefulness of teaching calculus (especially in Z\u00fcrich)"},"content":{"rendered":"<p>Richard Dedekind, 1858:<\/p>\n<blockquote><p>\nDie Betrachtungen, welche den Gegenstand dieser kleinen Schrift bilden, stammen aus dem Herbst des Jahres 1858. Ich befand mich damals als Professor am eidgen\u00f6ssischen Polytechnicum zu Z\u00fcrich zum ersten Male in der Lage, die Elemente der Differentialrechnung vortragen zu m\u00fcssen, und f\u00fchlte dabei empfindlicher als jemals fr\u00fchrer den Mangel einer wirklich wissenschaftlichen Begr\u00fcndung der Arithmetik\n<\/p><\/blockquote>\n<p>(in <a href=\"http:\/\/www.math.ru.nl\/werkgroepen\/gmfw\/bronnen\/dedekind2.html\">Stetigkeit und irrationale Zahlen<\/a>, where <a href=\"http:\/\/en.wikipedia.org\/wiki\/Dedekind_cut\">Dedekind cuts<\/a> are introduced); translation by <a href=\"http:\/\/www.gutenberg.org\/etext\/21016\">W.W. Beman<\/a>:<\/p>\n<blockquote><p>\nMy attention was first directed toward the considerations which form the subject of this pamphlet in the autumn of 1858. As professor in the Polytechnic School in Z\u00fcrich I found myself for the first time obliged to lecture upon the elements of the differential calculus and felt more keenly than ever before the lack of a really scientific foundation for arithmetic.\n<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Richard Dedekind, 1858: Die Betrachtungen, welche den Gegenstand dieser kleinen Schrift bilden, stammen aus dem Herbst des Jahres 1858. Ich befand mich damals als Professor am eidgen\u00f6ssischen Polytechnicum zu Z\u00fcrich zum ersten Male in der Lage, die Elemente der Differentialrechnung vortragen zu m\u00fcssen, und f\u00fchlte dabei empfindlicher als jemals fr\u00fchrer den Mangel einer wirklich wissenschaftlichen &hellip; <a href=\"https:\/\/blogs.ethz.ch\/kowalski\/2010\/05\/10\/on-the-usefulness-of-teaching-calculus-especially-in-zurich\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">On the usefulness of teaching calculus (especially in Z\u00fcrich)<\/span><\/a><\/p>\n","protected":false},"author":625,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-1788","post","type-post","status-publish","format-standard","hentry","category-blogroll"],"_links":{"self":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts\/1788","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/users\/625"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/comments?post=1788"}],"version-history":[{"count":0,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts\/1788\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/media?parent=1788"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/categories?post=1788"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/tags?post=1788"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}