給圓周率完整的一生第二講-參考文獻(xiàn)
?
吳文俊《中國(guó)數(shù)學(xué)史大系》
?https://www.maa.org/press/periodicals/convergence/the-mathematical-cultures-of-medieval-europe-introduction美國(guó)數(shù)學(xué)會(huì)中世紀(jì)歐洲史,https://www.maa.org/press/periodicals/convergence/the-mathematical-cultures-of-medieval-europe-introduction
https://www.maa.org/美國(guó)數(shù)學(xué)會(huì), https://www.maa.org/
https://mathgenealogy.org/數(shù)學(xué)家世系譜, https://mathgenealogy.org/
?微信公眾號(hào),數(shù)學(xué)教學(xué)研究,卡瓦列里原理 作者:邵勇老師
?微信公眾號(hào),數(shù)學(xué)教學(xué)研究,用積分方法計(jì)算牟和方蓋體積, 作者:邵勇老師
?微信公眾號(hào),上海初高中數(shù)學(xué),牟和方蓋,作者:譚峰
?希臘哲學(xué)史(修訂本)2010年, 人民出版社出版, 汪子嵩、范明生 等著,方國(guó)根、李之美 等責(zé)任編輯
?https://www.zhihu.com/question/24940378π是怎么計(jì)算出來的,https://www.zhihu.com/question/24940378
?https://zhuanlan.zhihu.com/p/103469384阿波羅尼烏斯圓周曲線論, https://zhuanlan.zhihu.com/p/103469384
?https://mathworld.wolfram.com/ArchimedesRecurrenceFormula.html阿基米德遞推關(guān)系式, https://mathworld.wolfram.com/ArchimedesRecurrenceFormula.html
?https://mathworld.wolfram.com/ArchimedesAlgorithm.html阿基米德算法, https://mathworld.wolfram.com/ArchimedesAlgorithm.html
? https://math.stackexchange.com/questions/1006072/updated-why-didnt-archimedes-further-approximate-pi-this-way-or-did-he阿基米德算法的外插法, https://math.stackexchange.com/questions/1006072/updated-why-didnt-archimedes-further-approximate-pi-this-way-or-did-he?
?https://demonstrations.wolfram.com/ApproximatingPiWithInscribedPolygons/wolfram演示文檔-用內(nèi)接多邊形逼近圓, https://demonstrations.wolfram.com/ApproximatingPiWithInscribedPolygons/
?https://mathworld.wolfram.com/PiFormulas.htmlPi的相關(guān)公式, https://mathworld.wolfram.com/PiFormulas.html
?https://mathshistory.st-andrews.ac.uk/Biographies/Aristaeus/Aristaeus, https://mathshistory.st-andrews.ac.uk/Biographies/Aristaeus/?
?https://mathshistory.st-andrews.ac.uk/Biographies/Theodosius/Theodosius, https://mathshistory.st-andrews.ac.uk/Biographies/Theodosius/ https://mathshistory.st-andrews.ac.uk/Biographies/Autolycus/Autolycus, https://mathshistory.st-andrews.ac.uk/Biographies/Autolycus/
?https://mathshistory.st-andrews.ac.uk/Biographies/Aristarchus/Aristarchus, https://mathshistory.st-andrews.ac.uk/Biographies/Aristarchus/
?https://www.britannica.com/science/Pappuss_theorem帕普斯定理, https://www.britannica.com/science/Pappuss_theorem
?https://music.stackexchange.com/questions/56517/五度好聽的原因, https://music.stackexchange.com/questions/56517/
?https://zhuanlan.zhihu.com/p/113997099不同位置撥弦銀色不同的原理, https://zhuanlan.zhihu.com/p/113997099
?https://www.geogebra.org/m/xqXNW5TE阿基米德對(duì)π的估計(jì), https://www.geogebra.org/m/xqXNW5TE
?Will Durant -Full 11-Volume Set The Story of Civilization (1931) Simon and Schuster
?https://www.ams.org/notices/200902/rtx090200212p.pdfBirds and Frogs Dyson, https://www.ams.org/notices/200902/rtx090200212p.pdf
?https://www.britannica.com/biography/Freeman-Dyson物理,科普與教育家 Freem-Dyson, https://www.britannica.com/biography/Freeman-Dyson
?https://www.math.tamu.edu/~dallen/masters/Greek/content4.html古希臘數(shù)學(xué), https://www.math.tamu.edu/~dallen/masters/Greek/content4.html
?https://math.fandom.com/zh/wiki中文數(shù)學(xué)Wiki, https://math.fandom.com/zh/wiki
?https://www.math.tamu.edu/~dallen/masters/德州農(nóng)工大學(xué)數(shù)學(xué)史教程, https://www.math.tamu.edu/~dallen/masters/
?https://arxiv.org/ftp/arxiv/papers/2008/2008.07995.pdf阿基米德的密率估計(jì), https://arxiv.org/ftp/arxiv/papers/2008/2008.07995.pdf
?https://www.britannica.com/science/mathematics/Number-theory大英百科介紹-數(shù)學(xué), https://www.britannica.com/science/mathematics/Number-theory
?https://www.math.uci.edu/~ndonalds/math184/加州大學(xué)爾灣分校 數(shù)學(xué)史課程, https://www.math.uci.edu/~ndonalds/math184/
?https://www.britannica.com/biography/Heron-of-Alexandria海倫公式, https://www.britannica.com/biography/Heron-of-Alexandria
?https://upcommons.upc.edu/bitstream/handle/2117/20201/vol6(2)_Parte14.pdf均輪與微分方程, https://upcommons.upc.edu/bitstream/handle/2117/20201/vol6(2)_Parte14.pdf
?https://arxiv.org/pdf/2212.03418.pdfGeneralized Lindemann-Weierstrass and
Gelfond-Schneider-Baker Theorems, ttps://arxiv.org/pdf/2212.03418.pdf?
?https://websites.math.leidenuniv.nl/algebra/chebotarev.pdfchebotarev數(shù)論與密度定理, https://websites.math.leidenuniv.nl/algebra/chebotarev.pdf
?http://math.stanford.edu/~conrad/斯坦福大學(xué) 代數(shù),數(shù)論,代數(shù)幾何等課程, http://math.stanford.edu/~conrad/
?https://core.ac.uk/download/pdf/81117031.pdf月形的構(gòu)造和超越性, https://core.ac.uk/download/pdf/81117031.pdf
?https://www.famousmathematicians.net/famous-greek-mathematicians/古希臘15個(gè)最偉大的數(shù)學(xué)家
?https://www.britannica.com/biography/Hypatia希臘數(shù)學(xué)家希帕提婭, https://www.britannica.com/biography/Hypatia
?https://mathworld.wolfram.com/CissoidofDiocles.html蔓葉線,https://mathworld.wolfram.com/CissoidofDiocles.html
?https://www.worldhistory.org/article/606/greek-mathematics/希臘數(shù)學(xué)家, https://www.worldhistory.org/article/606/greek-mathematics/
?https://math.colorado.edu/~rohi1040/expository/eistranscendental.pdfe 是超越數(shù), https://math.colorado.edu/~rohi1040/expository/eistranscendental.pdf
?https://math.ucr.edu/~res/math153/加州大學(xué)河濱分校數(shù)學(xué)史課程,https://math.ucr.edu/~res/math153/
?https://math.stackexchange.com/questions/4026332/equivalence-of-minor-epicycle-and-eccentric 離心率和均輪等價(jià), https://math.stackexchange.com/questions/4026332/equivalence-of-minor-epicycle-and-eccentric
?http://brettcvz.github.io/epicycles/均輪的動(dòng)畫, http://brettcvz.github.io/epicycles/
?https://zhuanlan.zhihu.com/p/377472737本輪均輪模型, https://zhuanlan.zhihu.com/p/377472737
https://mathshistory.st-andrews.ac.uk/數(shù)學(xué)家傳記, https://mathshistory.st-andrews.ac.uk
?https://mathworld.wolfram.com/Curvature.html曲率, https://mathworld.wolfram.com/Curvature.html
?https://www.britannica.com/science/history-of-science/Science-in-Rome-and-Christianity羅馬和基督世界的科學(xué)史, https://www.britannica.com/science/history-of-science/Science-in-Rome-and-Christianity
?https://www.nationalgeographic.org/activity/technology-and-control-ancient-rome/古羅馬技術(shù)發(fā)展和思想控制, https://www.nationalgeographic.org/activity/technology-and-control-ancient-rome/
?https://mathshistory.st-andrews.ac.uk/Education/rome/羅馬的數(shù)學(xué)教育
?https://historycooperative.org/roman-republic-before-the-empire/共和政體的羅馬
?https://www.worldhistory.org/collection/49/government-in-ancient-rome/古羅馬的整體
?https://washingtoncitypaper.com/article/191885/how-did-anyone-do-math-in-roman-numerals/羅馬人怎么數(shù)數(shù)
?https://hsm.stackexchange.com/questions/5460/why-are-there-no-known-roman-mathematicans-from-the-roman-empire為什么羅馬帝國(guó)沒有羅馬本土數(shù)學(xué)家, https://hsm.stackexchange.com/questions/5460/why-are-there-no-known-roman-mathematicans-from-the-roman-empire
?http://gonnavis.com/timeline/歷史時(shí)間線, http://gonnavis.com/timeline/
?https://prezi.com/jju7zqwb358c/mathematics-in-the-roman-empire/羅馬帝國(guó)的數(shù)學(xué)-PPT, https://prezi.com/jju7zqwb358c/mathematics-in-the-roman-empire/
?https://www.worldhistory.org/article/897/the-phoenicians---master-mariners/海上的主人腓尼基人, https://www.worldhistory.org/article/897/the-phoenicians---master-mariners/
?https://omniglot.com/writing/phoenician.html腓尼基人, https://omniglot.com/writing/phoenician.html
?https://phoenicia.org/腓尼基信息匯總, https://phoenicia.org/
?https://zhuanlan.zhihu.com/p/193726723米底人及米底王國(guó), https://zhuanlan.zhihu.com/p/193726723
?https://www.thepaper.cn/newsDetail_forward_19028939漢代以前的絲綢之路, https://www.thepaper.cn/newsDetail_forward_19028939
?https://zhuanlan.zhihu.com/p/339180341嚈噠人, https://zhuanlan.zhihu.com/p/339180341
?https://www.britannica.com/topic/Western-philosophy/Ancient-Greek-and-Roman-philosophy希臘羅馬哲學(xué), https://www.britannica.com/topic/Western-philosophy/Ancient-Greek-and-Roman-philosophy
?https://zhuanlan.zhihu.com/p/353200010古希臘的黑暗時(shí)代, https://zhuanlan.zhihu.com/p/353200010
?https://www.nasa.gov/image-feature/goddard/2021/hubble-sees-cosmic-quintuple/愛因斯坦環(huán)與阿波羅尼烏斯圓, https://www.nasa.gov/image-feature/goddard/2021/hubble-sees-cosmic-quintuple/
?https://forumgeom.fau.edu/FG2017volume17/FG201735.pdf阿波羅尼烏斯問題, https://forumgeom.fau.edu/FG2017volume17/FG201735.pdf
?https://www.britannica.com/science/history-of-science/The-rise-of-modern-science現(xiàn)代科學(xué)之起源, https://www.britannica.com/science/history-of-science/The-rise-of-modern-science
?文明的故事 威爾杜蘭特 天地出版社 2018年
?中國(guó)通史. 作者: 呂思勉. 出版社: 中華書局. 出版年: 2020-7.
?百度百科:波斯帝國(guó);塞琉古;唁噠人;薩珊帝國(guó);高昌;亞述人;埃及歷史;埃及第二十一王朝;多利安人;赫梯人;安納托利亞半島;米底人;赫梯;中王國(guó)時(shí)期;新王國(guó)時(shí)期;第三中間期時(shí)期;馬其頓;多利安人;丟番圖;卡拉卡拉敕令;呂底亞;斯基泰人;匈人;安得諾沃羅文明;伽色林王朝;奧古斯丁;第一次尼西亞會(huì)議;以佛所大公會(huì)議;三角形的“五心”;拉科尼亞;安提柯王朝;貴霜帝國(guó);南北朝;蒙古;突厥;唐朝;漢朝;阿拉伯帝國(guó);阿尤布王朝;哈里發(fā);倭馬亞;新巴比倫;高車;鮮卑;東胡;馬其頓;澶淵之盟;亞歷山大圖書館之焚毀;猶太人起源;巴列維語;突騎施汗國(guó)
?知乎專欄:世界民族文明史;伊朗歷史;亞述,烏魯克,巴比倫,蘇美爾的關(guān)系
?必應(yīng):Partian; Persian Empire; Alexander Empire;Scyatha;Sassanid Empire;印度各王朝;eastern and western empire
Politics in Roman Empire;arab empire;difference between greek and roman empire;Persian Second;Plebis in Roman;Theodocious;Latus Rectum
?https://www.britannica.com/topic/Christianity大英百科全書之基督教, https://www.britannica.com/topic/Christianity
?https://zhuanlan.zhihu.com/p/499217933五度相生律、純律和十二平均律的原理及計(jì)算方法, https://zhuanlan.zhihu.com/p/499217933
?https://arxiv.org/pdf/2305.06065.pdf阿波羅尼烏斯問題與橢圓接觸, https://arxiv.org/pdf/2305.06065.pdf
?https://www.thepaper.cn/newsDetail_forward_14221574怛邏斯城與絲綢之路, https://www.thepaper.cn/newsDetail_forward_14221574?
?https://www.sohu.com/a/587027128_121119243張萍 | 唐王朝對(duì)楚河、塔拉斯谷地經(jīng)營(yíng)與中亞文化遺產(chǎn), https://www.sohu.com/a/587027128_121119243?
?Music and Mathematics from Euclid to Fractals; Raymond Flood;2003.2.;Oxford Press.
ra https://www.thepaper.cn/newsDetail_forward_6585079焚毀亞歷山大的原因, https://www.thepaper.cn/newsDetail_forward_6585079
?Chatgpt