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Ramanujan's Notebooks Bruce C. Berndt

Ramanujan's Notebooks By Bruce C. Berndt

Ramanujan's Notebooks by Bruce C. Berndt


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Summary

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.

Ramanujan's Notebooks Summary

Ramanujan's Notebooks: Part I by Bruce C. Berndt

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.

Table of Contents

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.

Additional information

CIN0387961100G
9780387961101
0387961100
Ramanujan's Notebooks: Part I by Bruce C. Berndt
Used - Good
Hardback
Springer-Verlag New York Inc.
1985-03-12
357
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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