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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老巫婆

Conscientious

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.

有偏見

prodrome

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.

CUMB

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.

惡名聲

BLUSH

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.

衰弱的心

Barrister

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.