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Titlebook: Mathematics of the 19th Century; Geometry, Analytic F A. N. Kolmogorov,A. P. Yushkevich Book 1996 Birkhäuser Verlag 1996 Area.Congruence.Ge

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发表于 2025-3-21 19:06:58 | 显示全部楼层 |阅读模式
书目名称Mathematics of the 19th Century
副标题Geometry, Analytic F
编辑A. N. Kolmogorov,A. P. Yushkevich
视频video
图书封面Titlebook: Mathematics of the 19th Century; Geometry, Analytic F A. N. Kolmogorov,A. P. Yushkevich Book 1996 Birkhäuser Verlag 1996 Area.Congruence.Ge
描述The general principles by which the editors and authors of the present edition have been guided were explained in the preface to the first volume of Mathemat­ ics of the 19th Century, which contains chapters on the history of mathematical logic, algebra, number theory, and probability theory (Nauka, Moscow 1978; En­ glish translation by Birkhiiuser Verlag, Basel-Boston-Berlin 1992). Circumstances beyond the control of the editors necessitated certain changes in the sequence of historical exposition of individual disciplines. The second volume contains two chapters: history of geometry and history of analytic function theory (including elliptic and Abelian functions); the size of the two chapters naturally entailed di­ viding them into sections. The history of differential and integral calculus, as well as computational mathematics, which we had planned to include in the second volume, will form part of the third volume. We remind our readers that the appendix of each volume contains a list of the most important literature and an index of names. The names of journals are given in abbreviated form and the volume and year of publication are indicated; if the actual year of publication
出版日期Book 1996
关键词Area; Congruence; Geometrie; Hermann von Helmholtz; History of Mathematics; Hypergeometric function; Volum
版次1
doihttps://doi.org/10.1007/978-3-0348-9173-8
isbn_softcover978-3-0348-9933-8
isbn_ebook978-3-0348-9173-8
copyrightBirkhäuser Verlag 1996
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发表于 2025-3-21 20:48:18 | 显示全部楼层
Analytic Function Theory,n being supplemented by the series of Taylor and Lagrange. In the eighteenth century, mostly at the initiative of Euler. infinite products, partial fraction expansions, integral representations (gamma function, elliptic integrals), and continued fractions were applied along with power series.
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https://doi.org/10.1007/978-3-0348-9173-8Area; Congruence; Geometrie; Hermann von Helmholtz; History of Mathematics; Hypergeometric function; Volum
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978-3-0348-9933-8Birkhäuser Verlag 1996
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Geometry,ere made in the course of the century in geometry also. The development of analysis was linked in the first instance with the development of analytic geometry. Plane analytic geometry, which had appeared in the work of Descartes and Fermat, was significantly advanced in the late seventeenth century
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Geometry, the development of the concept of a function geometers made ever more extensive use of geometric transformations: Clairaut and Euler laid the foundations of the subject of affine transformations, d’Alembert and Euler founded the subject of conformal mappings, and Waring and Monge studied projective
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