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Titlebook: Mathematics of the 19th Century; Mathematical Logic A A. N. Kolmogorov,A. P. Yushkevich Book 19921st edition Springer Basel AG 1992 Evoluti

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发表于 2025-3-21 16:39:49 | 显示全部楼层 |阅读模式
书目名称Mathematics of the 19th Century
副标题Mathematical Logic A
编辑A. N. Kolmogorov,A. P. Yushkevich
视频video
图书封面Titlebook: Mathematics of the 19th Century; Mathematical Logic A A. N. Kolmogorov,A. P. Yushkevich Book 19921st edition Springer Basel AG 1992 Evoluti
描述This multi-authored effort, Mathematics of the nineteenth century (to be fol­ lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathe­ matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and phi
出版日期Book 19921st edition
关键词Evolution; Natural Sciences; history of mathematics; science
版次1
doihttps://doi.org/10.1007/978-3-0348-5112-1
isbn_ebook978-3-0348-5112-1
copyrightSpringer Basel AG 1992
The information of publication is updating

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发表于 2025-3-21 22:43:21 | 显示全部楼层
Algebra and Algebraic Number Theory,ebra. The transformation of algebra was fundamental in nature. Between the beginning and the end of the last century, or rather between the beginning of the last century and the twenties of this century, the subject matter and methods of algebra and its place in mathematics changed beyond recognitio
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Problems of Number Theory,... ≡ .., in Part V of his . entitled “Digression containing an investigation of ternary forms”. He introduced the notion of a discriminant (he called it a determinant) for such forms and showed that the number of classes of ternary forms with given discriminant is finite. Gauss sketched a program f
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The Theory of Probability,ives for further progress. These stimuli, highly differing one from another in their essence, were connected with the development of the natural sciences, with practical requirements of society and, also, with the formulation of purely mathematical problems.
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Algebra and Algebraic Number Theory,ebra. The transformation of algebra was fundamental in nature. Between the beginning and the end of the last century, or rather between the beginning of the last century and the twenties of this century, the subject matter and methods of algebra and its place in mathematics changed beyond recognition.
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发表于 2025-3-23 05:21:18 | 显示全部楼层
Mathematical Logic,Mathematical logic was not treated in the three-volume .. We shall, therefore, briefly survey its perhistory before analyzing its development in the nineteenth century.
发表于 2025-3-23 06:58:01 | 显示全部楼层
https://doi.org/10.1007/978-3-0348-5112-1Evolution; Natural Sciences; history of mathematics; science
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