https://wiki.unissula.ac.id/index.php?action=history&feed=atom&title=Georg_Friedrich_Bernhard_Riemann 2026-09-16T18:05:04Z Riwayat revisi halaman ini di wiki MediaWiki 1.46.0 https://wiki.unissula.ac.id/index.php?title=Georg_Friedrich_Bernhard_Riemann&diff=14792&oldid=prev 2026-08-26T14:14:49Z

<p>Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi</p> <table style="background-color: #fff; color: #202122;" data-mw-interface=""> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="id"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisi sebelumnya</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisi per 26 Agustus 2026 14.14</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Baris 1:</td> <td colspan="2" class="diff-lineno">Baris 1:</td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[File:Georg_Friedrich_Bernhard_Riemann.jpeg|thumb|right|280px|Georg Friedrich Bernhard Riemann]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Georg Friedrich Bernhard Riemann&#039;&#039;&#039; () (diucapkan &#039;&#039;REE mahn&#039;&#039;) ialah [[matematika]]wan Jerman yang membuat sumbangan penting pada [[analisis matematika|analisis]] dan [[geometri diferensial]], beberapa darinya meratakan jalan untuk pengembangan lebih lanjut pada [[relativitas umum]]. Namanya dihubungkan dengan [[fungsi zeta Riemann]], [[integral Riemann]], [[lema Riemann]], [[manipol Riemann]], [[teorema pemetaan Riemann]], [[problem Riemann-Hilbert]], [[teorema Riemann-Roch]], [[persamaan Cauchy-Riemann]] dll.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&#039;&#039;&#039;Georg Friedrich Bernhard Riemann&#039;&#039;&#039; () (diucapkan &#039;&#039;REE mahn&#039;&#039;) ialah [[matematika]]wan Jerman yang membuat sumbangan penting pada [[analisis matematika|analisis]] dan [[geometri diferensial]], beberapa darinya meratakan jalan untuk pengembangan lebih lanjut pada [[relativitas umum]]. Namanya dihubungkan dengan [[fungsi zeta Riemann]], [[integral Riemann]], [[lema Riemann]], [[manipol Riemann]], [[teorema pemetaan Riemann]], [[problem Riemann-Hilbert]], [[teorema Riemann-Roch]], [[persamaan Cauchy-Riemann]] dll.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l8">Baris 8:</td> <td colspan="2" class="diff-lineno">Baris 10:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Lihat pula ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Lihat pula ==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Pada Bilangan Prima Kurang dari Magnitud yang Diberikan|Naskah 1859 Riemann yang memperkenalkan fungsi zeta kompleks]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Pada Bilangan Prima Kurang dari Magnitud yang Diberikan|Naskah 1859 Riemann yang memperkenalkan fungsi zeta kompleks]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Hipotesis Riemann]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Hipotesis Riemann]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Bulatan Riemann]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Bulatan Riemann]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Papers.html Naskah Matematika Georg Friedrich Bernhard Riemann]  </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Papers.html Naskah Matematika Georg Friedrich Bernhard Riemann]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* Seluruh publikasi Riemann dapat ditemukan di: http://www.emis.de/classics/Riemann/  </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* Seluruh publikasi Riemann dapat ditemukan di: http://www.emis.de/classics/Riemann/</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Riemann.html Biografi]  di [[Arsip MacTutor]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Riemann.html Biografi]  di [[Arsip MacTutor]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.fh-lueneburg.de/u1/gym03/englpage/chronik/riemann/riemann.htm Bernhard Riemann - Satu dari Matematikawan Terpenting]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.fh-lueneburg.de/u1/gym03/englpage/chronik/riemann/riemann.htm Bernhard Riemann - Satu dari Matematikawan Terpenting]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Sumber dan atribusi ==</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Georg+Friedrich+Bernhard+Riemann&amp;oldid=28418876 Wikipedia bahasa Indonesia], revisi 28418876 (2025-11-12T05:28:09Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Gambar pada artikel ini bersumber dari Wikimedia Commons dan mengikuti ketentuan lisensi masing-masing berkas. Mohon gunakan konten dan media secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">== Sumber dan atribusi ==</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;!</ins>-- <ins style="font-weight: bold; text-decoration: none;">WIKI_UNISSULA_PRESENTATION_V4 </ins>--<ins style="font-weight: bold; text-decoration: none;">&gt;</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Georg+Friedrich+Bernhard+Riemann&amp;oldid=28418876 Wikipedia bahasa Indonesia], revisi 28418876 (2025</del>-<del style="font-weight: bold; text-decoration: none;">11</del>-<del style="font-weight: bold; text-decoration: none;">12T05:28:09Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi</del>-<del style="font-weight: bold; text-decoration: none;">BerbagiSerupa (CC BY</del>-<del style="font-weight: bold; text-decoration: none;">SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</del></div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

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<p>Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 28418876; atribusi sumber disertakan.</p> <p><b>Halaman baru</b></p><div>&#039;&#039;&#039;Georg Friedrich Bernhard Riemann&#039;&#039;&#039; () (diucapkan &#039;&#039;REE mahn&#039;&#039;) ialah [[matematika]]wan Jerman yang membuat sumbangan penting pada [[analisis matematika|analisis]] dan [[geometri diferensial]], beberapa darinya meratakan jalan untuk pengembangan lebih lanjut pada [[relativitas umum]]. Namanya dihubungkan dengan [[fungsi zeta Riemann]], [[integral Riemann]], [[lema Riemann]], [[manipol Riemann]], [[teorema pemetaan Riemann]], [[problem Riemann-Hilbert]], [[teorema Riemann-Roch]], [[persamaan Cauchy-Riemann]] dll.<br /> <br /> Ia lahir di [[Breselenz]], sebuah desa dekat [[Dannenberg]] di [[Hanover (negara)|Kerajaan Hanover]] di [[Jerman]] sekarang. Ayahnya &#039;&#039;Friedrich Bernhard Riemann&#039;&#039; ialah pastor [[Lutheranisme|Lutheran]] di Breselenz. Bernhard merupakan anak kedua dari 6 bersaudara. Pada 1840 Bernhard pergi ke [[Hanover]] untuk tinggal dengan neneknya dan mengunjungi Lyceum. Setelah kematian neneknya pada 1842 ia pindah ke Johanneum di [[Lüneburg]].<br /> <br /> Pada 1846, pada usia 19, ia mulai belajar [[filologi]] dan [[teologi]] di [[Universitas Göttingen]]. Ia mengikuti ceramah [[Carl Friedrich Gauss|Gauss]]. Pada 1847 ayahnya mengizinkannya berhenti belajar Teologi dan mulai belajar [[matematika]]. Pada 1847 ia pindah ke [[Berlin]] di mana [[Carl Gustav Jakob Jacobi|Jacobi]], [[Johann Peter Gustav Lejeune Dirichlet|Dirichlet]] dan [[Jakob Steiner|Steiner]] mengajar. Ia tinggal di Berlin selama 2 tahun dan kembali ke Göttingen pada 1849.<br /> <br /> Riemann menyelenggarakan ceramah pertamanya pada 1854, yang tak hanya menemukan bidang [[geometri Riemann]] namun menentukan tahapan untuk [[relativitas umum]] [[Albert Einstein|Einstein]]. Ia dipromosikan sebagai guru besar istimewa di [[Universitas Göttingen]] pada 1857 dan menjadi guru besar luar biasa pada 1859 menyusul kematian [[Peter Gustav Lejeune Dirichlet|Dirichlet]]. Pada 1862 ia menikahi &#039;&#039;Elise Koch&#039;&#039;. Ia meninggal akibat [[tuberkulosis]] pada perjalanan ketiganya ke [[Italia]] di [[Selasca]].<br /> <br /> == Lihat pula ==<br /> <br /> * [[Pada Bilangan Prima Kurang dari Magnitud yang Diberikan|Naskah 1859 Riemann yang memperkenalkan fungsi zeta kompleks]]<br /> * [[Hipotesis Riemann]]<br /> * [[Bulatan Riemann]]<br /> == Pranala luar ==<br /> <br /> * [http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Papers.html Naskah Matematika Georg Friedrich Bernhard Riemann]<br /> * Seluruh publikasi Riemann dapat ditemukan di: http://www.emis.de/classics/Riemann/<br /> * [http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Riemann.html Biografi] di [[Arsip MacTutor]]<br /> * [http://www.fh-lueneburg.de/u1/gym03/englpage/chronik/riemann/riemann.htm Bernhard Riemann - Satu dari Matematikawan Terpenting]<br /> <br /> <br /> <br /> == Sumber dan atribusi ==<br /> <br /> Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Georg+Friedrich+Bernhard+Riemann&amp;oldid=28418876 Wikipedia bahasa Indonesia], revisi 28418876 (2025-11-12T05:28:09Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div>

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