The Early Mathematics of Leonhard Euler 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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C. Edward Sandifer 作者

The Mathematical Association of America

譯者

2007-01-01 出版日期

391 頁數

USD 51.95 價格

Hardcover

Spectrum Series 叢書系列

9780883855591 圖書編碼

The Early Mathematics of Leonhard Euler 在線電子書圖書標籤: Euler Paul Leonhard

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發表於2024-11-25

The Early Mathematics of Leonhard Euler 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Early Mathematics of Leonhard Euler 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Early Mathematics of Leonhard Euler 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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The Early Mathematics of Leonhard Euler 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

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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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