Ramanujan’s Notebooks - Bruce C. Berndt

Ramanujan’s Notebooks

Part I

(Autor)

Buch | Softcover
357 Seiten
2012 | Softcover reprint of the original 1st ed. 1985
Springer-Verlag New York Inc.
978-1-4612-7007-2 (ISBN)
213,99 inkl. MwSt
Srinivasa Ramanujan is, arguably, the greatest mathematicianthat India has produced. He died very young, at the age of 32,leaving behind three notebooks containing almost 3000theorems, virtually all without proof. Hardy andothers strongly urged that notebooks be edited andpublished, and the result is this series of books.
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.

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.

Erscheint lt. Verlag 2.10.2012
Zusatzinfo X, 357 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 1-4612-7007-3 / 1461270073
ISBN-13 978-1-4612-7007-2 / 9781461270072
Zustand Neuware
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