The Early Mathematics of Leonhard Euler 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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C. Edward Sandifer 作者

The Mathematical Association of America

译者

2007-01-01 出版日期

391 页数

USD 51.95 价格

Hardcover

Spectrum Series 丛书系列

9780883855591 图书编码

The Early Mathematics of Leonhard Euler 在线电子书图书标签: Euler Paul Leonhard

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The Early Mathematics of Leonhard Euler 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Early Mathematics of Leonhard Euler 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler s early mathematical works, the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler s greatest work, the KÃ¶nigsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) notation, and the integrating factor in differential equations. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the world s most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler s work and with the work of other mathematicians in other times and places, laced with historical context.

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