Srinivasa Ramanujan is, arguably, the greatest mathematician that India has produced. His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important new results. With the support of the English number theorist G. H. Hardy, Ramanujan received a scholarship to go to England and study mathematics. He died very young, at the age of 32, leaving behind three notebooks containing almost 3000 theorems, virtually all without proof. G. H. Hardy and others strongly urged that notebooks be edited and published, and the result is this series of books. This volume dealswith Chapters 1-9 of Book II; each theorem is either proved, or a reference to a proof is given.
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1 Magic Squares.- 2 Sums Related to the Harmonic Series or the Inverse Tangent function.- 3 Combinatorial Analysis and Series Inversions.- 4 Iterates of the Exponential Function and an Ingenious Formal Technique.- 5 Eulerian Polynomials and Numbers, Bernoulli Numbers, and the Riemann Zeta-Function.- 6 Ramanujan’s Theory of Divergent Series.- 7 Sums of Powers, Bernoulli Numbers, and the Gamma function.- 8 Analogues of the Gamma function.- 9 Infinite Series Identities, Transformations, and Evaluations.- Ramanujan’s Quarterly Reports.- References.
Book by Berndt Bruce C
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Buch. Condizione: Neu. Ramanujan's Notebooks | Part I | Bruce C. Berndt | Buch | x | Englisch | 1985 | Springer New York | EAN 9780387961101 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 102393652
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Buch. Condizione: Neu. Neuware -Srinivasa Ramanujan is, arguably, the greatest mathematicianthat India has produced. His story is quite unusual:although he had no formal education inmathematics, hetaught himself, and managed to produce many important newresults. With the support of the English number theorist G.H. Hardy, Ramanujan received a scholarship to go to Englandand study mathematics. He died very young, at the age of 32leaving behind three not Elektronisches Buch containing almost 3000theorems, virtually all without proof. G. H. Hardy andothers strongly urged that not Elektronisches Buch be edited andpublished, and the result is this series of books. Thisvolume dealswith Chapters 1-9 of Book II; each theorem iseither proved, or a reference to a proof is given.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 372 pp. Englisch. Codice articolo 9780387961101
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