{"id":25729,"date":"2022-06-08T11:34:38","date_gmt":"2022-06-08T09:34:38","guid":{"rendered":"https:\/\/mahifi-se.preview-domain.com\/?page_id=25729"},"modified":"2024-10-08T08:45:20","modified_gmt":"2024-10-08T06:45:20","slug":"elementor-25729","status":"publish","type":"page","link":"https:\/\/mahifi.se\/?page_id=25729","title":{"rendered":"Matematik"},"content":{"rendered":"\t\t
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Matematik <\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Kurssidor i matematik\u00a0<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Matematik 1<\/strong><\/p>\n

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Matematik 1b<\/a><\/p>

Matematik 1c<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Matematik 2<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Matematik 2b<\/a><\/p>

Matematik 2c<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Matematik 3<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Matematik 3b<\/p>

Matematik 3c<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Matematik 4<\/a><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Matematik 5<\/a><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tAlla Mahifis \u00f6vningsprov i matematik <\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tAlla offentliga prov i matematik <\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tFlexfredagsuppgifter f\u00f6r kurserna <\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Historiska problem<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tVad \u00e4r egentligen \\pi <\/span>?<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tFermats sats - Det enkla problemet med sv\u00e5r l\u00f6sning<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tHitta primtal p\u00e5 formen \\space 2^n-1 <\/span><\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tKomplexa tal - Historia och nuvarande anv\u00e4ndning<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Srinivasa Ramanujan<\/b> (1887-1920) – Han var en autodidaktisk (sj\u00e4lvl\u00e4rd) matematiker som levde st\u00f6rre delen av sitt liv i Indien under det brittiska styret. Under den senare delen av hans liv b\u00f6rjade han brevv\u00e4xla med den brittiska professorn G.A Hardy. Ramanujan reste senare till Storbritannien och fick spendera tid p\u00e5 det prestigefyllda universitetet Cambridge. Tillsammans med Hardy kom Ramanujan fram till viktiga matematiska resultat.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Euklides<\/b> (ca.\u00a0325 f.kr- ca. 265 f.kr)\u00a0– Euklides var en\u00a0grekisk matematiker som var verksam i Alexandria (nuvarande Egypten). Han skrev en av matematikens viktigaste b\u00f6cker: Euklides Elementa. Den l\u00e4gger ut de grundl\u00e4ggande talteoretiska och geometriska axiomen som matematiken sedan byggts upp p\u00e5. Den inneh\u00e5ller flera viktiga bevis och matematiska samband som vi fortfarande anv\u00e4nder idag n\u00e4r vi r\u00e4knar.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Roliga problem <\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tRoliga problem med probleml\u00f6sning - blandade niv\u00e5er<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tRoliga aritmetiska problem - blandade niv\u00e5er <\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Maryam Mirzakhani <\/b>(1977-2017) – Mirzakhani var den f\u00f6rsta kvinnan som vunnit den prestigefyllda Fieldsmedaljen<\/a> 2014. Hon arbetade inom det matematiska f\u00e4ltet topologi som behandlar egenskaper hos geometriska kroppar och hur man kan forma olika geometriska kroppar.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Kurt G\u00f6del <\/b>(1906-1978) – Han var en matematiker och logiker som revolutionerade matematiken n\u00e4r han formulerade sina ofullst\u00e4ndighetssatser 1931. Vad de s\u00e4ger \u00e4r att inom varje logiskt system som bygger p\u00e5 axiom (antaganden) som till exempel v\u00e5r matematik kommer det finnas satser som \u00e4r sanna men inte bevisbara. Det finnas allts\u00e5 matematiska sanningar som vi inte kan bevisa inom v\u00e5r struktur f\u00f6r matematiken. Det h\u00e4r skapade stor debatt inom matematiken men idag accepterar man G\u00f6dels uppt\u00e4ckt.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Carl Friedrich Gauss<\/b> (1777-1855) – K\u00e4nd som en av de fr\u00e4msta matematikerna genom tiderna. Han var likt Euler oerh\u00f6rt produktiv och arbetade inom flera matematiska f\u00e4lt. Flera matematiska samband och principer \u00e4r uppkallade efter Gauss. Bland annat Gausskurva som ocks\u00e5 \u00e4r en normalf\u00f6rdelningskurva och\u00a0Gausseliminering som \u00e4r en metod f\u00f6r att l\u00f6sa linj\u00e4ra ekvationssystem som man anv\u00e4nder i det matematiska f\u00e4ltet linj\u00e4r algebra.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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K\u00e4nda matematiker<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Grigori Perelman<\/span>\u00a0(f\u00f6dd 1966) – En rysk matematiker som l\u00f6ste ett av millennieproblemen<\/a>, Poingar\u00e9s\u00a0 f\u00f6rmodan. Efter han l\u00f6st problemet blev han tilldelad Fieldsmedaljen<\/a> och en prissumma p\u00e5 1 miljon dollar. Han tackade nej till b\u00e5de priset och prissumman. Efter det vet man inte vad Grigori Perelman g\u00f6r. Man vet att han bor i St. Petersburg och att han antagligen inte arbetar som matematiker l\u00e4ngre. Enligt vissa rykten plockar han mest svamp i de n\u00e4rliggande skogarna till St. Petersburg. Han liv finns beskrivet i boken The perfect rigor av Masha Gessen.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Leonhard Euler <\/span>(1707-1783) – Han \u00e4r en av v\u00e4rldshistoriens mest produktiva matematiker. Han utvecklade och bidrog till skapandet av flera matematiska f\u00e4lt. Han skrev runt 900 b\u00f6cker och artiklar i matematik samt fysik. Han \u00e4r k\u00e4nd f\u00f6r bland annat den fantastiska matematiska konstanten e som approximeras till 2.7182. Han \u00e4r ocks\u00e5 k\u00e4nd f\u00f6r Eulers identitet:<\/p>

e^{\\pi i}+1=0 <\/span><\/p>

Euler levde de sista \u00e5ren av sitt liv som blind men lyckades \u00e4nd\u00e5 vara produktiv inom flera matematiska f\u00e4lt.\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Andrew Wiles<\/span> (f\u00f6dd 1953) – Han bevisade Fermats sats som hade formulerades p\u00e5 1600-talet. <\/p>\n

  a^ {n}+b^{n}\\neq c^{n}, n>2 <\/span><\/span><\/p>\n

Wiles s\u00e5g problemet f\u00f6rst som barn och best\u00e4mde sig f\u00f6r att han en dag skulle bevisa satsen. Det visade sig l\u00e4ttare sagt \u00e4n gjort. Han tillbringade 8 \u00e5r f\u00f6r att kunna bevisa satsen och gjorde det i hemlighet. 1993 presenterades hans bevis och 1995 accepterades beviset. Fermat hade s\u00e5ledes r\u00e4tt i sin sats som han formulerade slarvigt i marginalen i en bok. L\u00e4s mer om Fermats sats h\u00e4r<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

Matematik Kurssidor i matematik\u00a0 Matematik 1 Matematik 1b Matematik 1c Matematik 2 Matematik 2b Matematik 2c Matematik 3 Matematik 3b Matematik 3c Matematik 4 Matematik 5 Alla Mahifis \u00f6vningsprov i matematik Alla offentliga prov i matematik Flexfredagsuppgifter f\u00f6r kurserna Historiska problem Vad \u00e4r egentligen ? Fermats sats – Det enkla problemet med sv\u00e5r l\u00f6sning Hitta […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-25729","page","type-page","status-publish","hentry"],"aioseo_notices":[],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false},"uagb_author_info":{"display_name":"joji9555@hotmail.com","author_link":"https:\/\/mahifi.se\/?author=1"},"uagb_comment_info":0,"uagb_excerpt":"Matematik Kurssidor i matematik\u00a0 Matematik 1 Matematik 1b Matematik 1c Matematik 2 Matematik 2b Matematik 2c Matematik 3 Matematik 3b Matematik 3c Matematik 4 Matematik 5 Alla Mahifis \u00f6vningsprov i matematik Alla offentliga prov i matematik Flexfredagsuppgifter f\u00f6r kurserna Historiska problem Vad \u00e4r egentligen ? Fermats sats – Det enkla problemet med sv\u00e5r l\u00f6sning Hitta…","_links":{"self":[{"href":"https:\/\/mahifi.se\/index.php?rest_route=\/wp\/v2\/pages\/25729","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mahifi.se\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mahifi.se\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mahifi.se\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mahifi.se\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25729"}],"version-history":[{"count":134,"href":"https:\/\/mahifi.se\/index.php?rest_route=\/wp\/v2\/pages\/25729\/revisions"}],"predecessor-version":[{"id":33483,"href":"https:\/\/mahifi.se\/index.php?rest_route=\/wp\/v2\/pages\/25729\/revisions\/33483"}],"wp:attachment":[{"href":"https:\/\/mahifi.se\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}