Galois' Theory of Algebraic Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Tignol, Jean-Pierre 作者

World Scientific Pub Co Inc

译者

2001-12 出版日期

331 页数

265.00元价格

Pap

丛书系列

9789810245412 图书编码

Galois' Theory of Algebraic Equations 在线电子书图书标签: 数学

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Galois' Theory of Algebraic Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Galois' Theory of Algebraic Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Galois' Theory of Algebraic Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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"Galois' Theory of Algebraic Equations" gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the 19th century. The main emphasis is placed on equations of at least the third degree, ie. on the developments during the period from the 16th to the 19th century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as "group" and "field". A brief discussion on the fundamental theorems of modern Galois theory is included. Complete proofs of the quoted results are provided, but the material has been organized in such a way that the most technical details can be skipped by readers how are interested primarily in a broad survey of the theory. This book should appeal to both undergraduate and graduate students in mathematics and the history of science, and also to teachers and mathematicians who wish to obtain an historical perspective of the field. The text has been designed to be self-contained, but some familiarity with basic mathematical structures and with some elementary notions of linear algebra is desirable for a good understanding of the technical discussions in the later chapters.

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In spite of the title, the main subject of these lectures is not algebra, even less history, as one could conclude from a glance over the table of contents, but methodology. Their aim is to convey to the audience, which originally consisted of undergraduate...

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