Ramanujan's Lost Notebook

Part I

George E. Andrews, Bruce C. Berndt

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English

Springer Verlag
01 June 2005

Mathematics & Sciences; Complex analysis, complex variables

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, ""Ramanujan's lost notebook."" Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony.

The ""lost notebook"" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work. Mathematicians are probably several decades away from a complete understanding of those functions. More than half of the material in the book is on q-series, including mock theta functions; the remaining part deals with theta function identities, modular equations, incomplete elliptic integrals of the first kind and other integrals of theta functions, Eisenstein series, particular values of theta functions, the Rogers-Ramanujan continued fraction, other q-continued fractions, other integrals, and parts of Hecke's theory of modular forms.

By: George E. Andrews, Bruce C. Berndt
Imprint: Springer Verlag
Country of Publication: United States
Dimensions: Height: 235mm, Width: 155mm, Spine: 25mm
Weight: 1.780kg
ISBN: 9780387255293
ISBN 10: 038725529X
Pages: 452
Publication Date: 01 June 2005
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active