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Titlebook: Geometry and Algebra in Ancient Civilizations; B. L. Waerden Book 1983 Springer-Verlag Berlin Heidelberg 1983 Altertum /Mathematik.Galois

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发表于 2025-3-21 18:49:52 | 显示全部楼层 |阅读模式
书目名称Geometry and Algebra in Ancient Civilizations
编辑B. L. Waerden
视频video
图书封面Titlebook: Geometry and Algebra in Ancient Civilizations;  B. L. Waerden Book 1983 Springer-Verlag Berlin Heidelberg 1983 Altertum /Mathematik.Galois
描述Originally, my intention was to write a "History of Algebra", in two or three volumes. In preparing the first volume I saw that in ancient civiliza­ tions geometry and algebra cannot well be separated: more and more sec­ tions on ancient geometry were added. Hence the new title of the book: "Geometry and Algebra in Ancient Civilizations". A subsequent volume on the history of modem algebra is in preparation. It will deal mainly with field theory, Galois theory and theory of groups. I want to express my deeply felt gratitude to all those who helped me in shaping this volume. In particular, I want to thank Donald Blackmore Wagner (Berkeley) who put at my disposal his English translation of the most interesting parts of the Chinese "Nine Chapters of the Art of Arith­ metic" and of Liu Hui‘s commentary to this classic, and also Jacques Se­ siano (Geneva), who kindly allowed me to use his translation of the re­ cently discovered Arabic text of four books of Diophantos not extant in Greek. Warm thanks are also due to Wyllis Bandler (Colchester, England) who read my English text very carefully and suggested several improve­ ments, and to Annemarie Fellmann (Frankfurt) and Erwin Neuenschwa
出版日期Book 1983
关键词Altertum /Mathematik; Galois theory; Geometrie; Geometry; History; Volume; algebra; cooperation; field; histo
版次1
doihttps://doi.org/10.1007/978-3-642-61779-9
isbn_softcover978-3-642-61781-2
isbn_ebook978-3-642-61779-9
copyrightSpringer-Verlag Berlin Heidelberg 1983
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发表于 2025-3-21 21:24:21 | 显示全部楼层
Diophantos and his Predecessors,itten by Diophantos of Alexandria. Originally, it contained 13 books, but in Greek only 6 books are preserved. See the publication of Tannery (Teubner, Leipzig I 1893, II 1895), and the translation and commentary of Th. Heath (second edition, Cambridge 1910, reprinted by Dover, New York 1964).
发表于 2025-3-22 01:09:39 | 显示全部楼层
https://doi.org/10.1007/978-3-642-96398-8A . is a right-angled triangle in which the three sides are proportional to integers ., ., and .. According to the “Theorem of Pythagoras”, the integers must satisfy the equation ..
发表于 2025-3-22 04:51:10 | 显示全部楼层
vieweg studium; Grundkurs ChemieDiophantine equations in the modern sense are equations to be solved by integers, such as the linear Diophantine equation . or “Pell’s Equation” . or the equation of “Pythagorean triples” ..
发表于 2025-3-22 10:01:09 | 显示全部楼层
Die vererbungsbiologischen GrundbegriffeSide by side with the tradition of classical Greek geometry, which is known from the works of Euclid, Archimedes. Apollonios, and Pappos, a more popular tradition existed: a tradition of arithmetical and geometrical problems with numerical solutions, similar to the problems we find in Egyptian, Babylonian, and Chinese collections.
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发表于 2025-3-22 23:03:36 | 显示全部楼层
Diophantine Equations,Diophantine equations in the modern sense are equations to be solved by integers, such as the linear Diophantine equation . or “Pell’s Equation” . or the equation of “Pythagorean triples” ..
发表于 2025-3-23 04:07:11 | 显示全部楼层
Popular Mathematics,Side by side with the tradition of classical Greek geometry, which is known from the works of Euclid, Archimedes. Apollonios, and Pappos, a more popular tradition existed: a tradition of arithmetical and geometrical problems with numerical solutions, similar to the problems we find in Egyptian, Babylonian, and Chinese collections.
发表于 2025-3-23 05:32:20 | 显示全部楼层
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