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"Algebra" And "on Behalf Of Calculus Ten" Research

Posted on:2014-11-18Degree:DoctorType:Dissertation
Country:ChinaCandidate:B S ZhangFull Text:PDF
GTID:1260330398476722Subject:History of science and technology
Abstract/Summary:PDF Full Text Request
In1859, Li Shanlan and Alexander Wylie translated "Daishu Xue" and "Daiweiji Shiji"(N ext referred to as"Shiji")are published in The London Missionary Society Press in Shanghai, So that, The western symbolic mathematics and variable mathematics are introduced to chi na. Quickly generate enormous repercussions, affect its translation and publication of the thou ghts and change is not just on the mathematical community, is a profound impact on the other natural sciences and social sciences.Research purposes:1. Trying to know Li Shanlan and Alexander Wylie’s "Daishu Xue" a nd "Shiji" spread in China and what kinds of symbolic mathematics and calculus, which exper ience what is the historical process;2. Clear mathematical development level as well as the tra nslation of what the emergence of what influence on mathematics in China;3. To clear "Dais hu Xue" and "Shiji" what is the situation about translation and in dibon selection;4."Daishu X ue" and "Shiji" in historical position in the development of Chinese mathematics and how to e valuate.Research methods:To research "Daishu Xue jichu" and "Shiji,which are published by Th e London Missionary Society Press in Shanghai In1859, which Li Shanlan and Alexander W ylie’s edition of "Daishu Xue jichu",Then, there will be comparing that with De Morgan’s "E lements of Algebra" edition in1837, at the same time, To know the edition of" Elements of analytical geometry and differential and integral calculus dissuade " in1851. as the research basis; The existing literature about its general or discuss analysis; Will be focus on "Daishu X ue" and "Shiji", instead of comparing English writings, comprehensive study of the contents o f the "Daishu Xue" and "Shiji", and compares with original research; This article also use the1aw of literature review, the original work analysis, reduction process, the history of science an alysis and textual research method, literature analysis method, comparative research, case anal ysis research method, etc. Mathematics has carried on the comprehensive historical inspection at that time, from the standpoint of the development of mathematics, science, fair look at wes tern symbolic math and variable mathematics in China in late qing dynasty history of commu nication and transmissionResearch results show that:1. Li Shanlan and Alexander Wylie’s "Daishu Xue" and "Shiji " is the western symbolic algebra and calculus is spread in our country for the first time.detai led examination for "Daishu Xue" and "Shiji" of translation and publication of two works; De tailed research of its content, you can clarify with equation theory, the algebraic representatio n theory, binomial theorem, limit theory, series theory, conic, curve classification, beyond app lication curve, differential calculus, differential calculus, integral calculus and the integral cal culus application such as symbolic algebra and calculus spreading in China;2series of books of calculus, and algebra book version and the emergence of some mathematics journals publis hed paper illustrates its influence on mathematics study in the late qing dynasty, the translatio n of "DaishuXue" and "Shiji" published in algebra, analytic geometry, and to the mathematic s research in China had an unprecedented impact analysis, to Chinese mathematics education i n the field of specialization, professionalization, modernization and westernization influence;3Based on the detailed research "Daishu Xue" and "Shiji", on the surface of the laid in the ere ation of Chinese mathematical terms, which is affected by the traditional mathematics, throug h comparing with its traditional mathematics achievement, prove its calculus in independent t hinking. And its translation "Daishu Xue" and "Shiji" mathematical theory basis;4."Daishu X ue" and "Shiji", there are some mistakes, such as the formula mistake, sometimes after the con cept wrong, for some important problem no problem such as a detailed proof;5. From the lev el of translation have laid on the surface and wei Alexander mathematical level is high, has a deep mathematical theory basis, although it is a translation of "interpreting-record" mode an d "character" and "symbolic" recording mode, but the answer to some problem can illustrate t his point, and the translation in the translation on the logic of the system and theory system, y ou can see that it has higher level mathematics.6. For "Daishu Xue" and "Shiji" itself, to its th eoretical basis is not very seriously, the whole translation of math very seriously, did not go fu rther discusses some basic concepts and principles.Research concluded that:1.The translation of "Daishu Xue" and "Shiji" publication marks the modern western advanced mathematics study and mathematics education in The late qing dynasty, Which is a math enlightenment movement;2. The "Daishu Xue " and "Shiji" is the foundation of western symbolic algebra and calculus teaching materials, m athematical theory is not very strong, is an elementary introduction to theory, and for beginner s, for2people to select "Daishu Xue" and "Shiji","is the objective requirement of the mathe matical level at that time;3. Li Shanlan and Alexander Wylie are the pioneer of the spread of The western modern symbolic algebra and calculus in China, in the entire history of the chine se-western mathematics exchanges with immeasurable historical contributions.
Keywords/Search Tags:Li Shanlan, Alexander Wylie, "Daishu Xue", "Shiji", Translated
PDF Full Text Request
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