Ramanujan's Lost Notebook

Name: Ramanujan's Lost Notebook
Brand: Springer
SKU: 9783030085506
Price: 747.58 RON
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Part V

Autor: George E. Andrews, Bruce C. Berndt

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In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinit...

Informații despre carte

Autor

George E. Andrews, Bruce C. Berndt

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2018

Pagini

430

EAN

9783030085506

ISBN

3030085503

Enbook ID

21349341

Editura

Springer

Greutate

676

Dimensiuni

155 x 235 x 23

Descriere completă

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. This fifth and final installment of the authors' examination of Ramanujan's lost notebook focuses on the mock theta functions first introduced in Ramanujan's famous Last Letter. This volume proves all of the assertions about mock theta functions in the lost notebook and in the Last Letter, particularly the celebrated mock theta conjectures. Other topics feature Ramanujan's many elegant Euler products and the remaining entries on continued fractions not discussed in the preceding volumes. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited." - MathSciNet Review from the first volume: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." - Gazette of the Australian Mathematical Society

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Ramanujan's Lost Notebook

Part V

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