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Titlebook: Ramanujan‘s Place in the World of Mathematics; Essays Providing a C Krishnaswami Alladi Book 20131st edition Springer India 2013 Great Math

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发表于 2025-3-21 17:05:17 | 显示全部楼层 |阅读模式
书目名称Ramanujan‘s Place in the World of Mathematics
副标题Essays Providing a C
编辑Krishnaswami Alladi
视频videohttp://file.papertrans.cn/822/821010/821010.mp4
概述Encourages bright students to pursue mathematics and exposes them to the enchanting world of Ramanujan.Introduces many aspects of Ramanujan’s mathematics and compares his work with other great mathema
图书封面Titlebook: Ramanujan‘s Place in the World of Mathematics; Essays Providing a C Krishnaswami Alladi Book 20131st edition Springer India 2013 Great Math
描述This book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians throughout the history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s spectacular discoveries and remarkable life and of the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. In the book, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, his pathbreaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future. Thus the book is an enlightening study of Ramanujan as a mathematician and a human being.
出版日期Book 20131st edition
关键词Great Mathematicians; History of Mathematics; Ramanujan; Ramanujan and Number Theory; Ramanujan and pi
版次1
doihttps://doi.org/10.1007/978-81-322-0767-2
isbn_ebook978-81-322-0767-2
copyrightSpringer India 2013
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G.H. Hardy: Ramanujan’s MentorThe British mathematician G.H. Hardy was the consummate Cambridge professor. Upon seeing Ramanujan’s letter, he concluded that Ramanujan was a true genius and invited him to Cambridge. Here we describe Hardy’s life story, his views about mathematical research and education, his encouragement of Ramanujan and their great collaboration.
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Ramanujan: An Estimationty and hardships. Ramanujan’s accomplishments are compared with those of certain mathematical luminaries who in their own way faced tremendous difficulties in life, yet made revolutionary contributions.
发表于 2025-3-22 15:41:43 | 显示全部楼层
L.J. Rogers: A Contemporary of Ramanujanrs–Ramanujan identities about two decades before Ramanujan discovered them. In this article the life and mathematical contributions of Rogers are described and the story told of how Ramanujan in England accidentally came across certain papers of Rogers, and the recognition Rogers received after Ramanujan’s rediscovery of his work.
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Niels Henrik Abel: Norwegian Mathematical Geniusuffered from poverty and ill health but did not let this impede his great creativity. We describe Abel’s life making comparisons with Ramanujan’s and discuss certain aspects of Abel’s work, such as his treatment of divergent series and his work on elliptic functions that have relationship with some of Ramanujan’s discoveries.
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P.A. MacMahon: Ramanujan’s Distinguished Contemporary just due to the Rogers–Ramanujan identities, but also due the table of partitions he compiled in order to verify the famous Hardy–Ramanujan asymptotic formula for the partition function. The story of how Ramanujan discovered his famous partition congruences upon seeing this table is also described.
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