Ramanujan’s Notebooks: Part III
Author:   Bruce C. Berndt
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1991
ISBN:  

9781461269632


Pages:   510
Publication Date:   30 September 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Ramanujan’s Notebooks: Part III


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Overview

During the time period between 1903 and 1914, Ramanujan worked in almost complete isolation in India. Throughout these years, he recorded his mathematical results without proofs in notebooks. Upon Ramanujan's death in 1920, G.H. Hardy strongly urged that Ramanujan's notebooks be published and edited. The English mathematicians G.N. Watson and B.M. Wilson began this task in 1929, but although they devoted nearly ten years to the project, the work was never completed. In 1957, the Tata Institute of Fundamental Research in Bombay published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the tasks of editing Ramanujan's notebooks. Proofs are provided to theorems not yet proven in previous literature, and many results are so startling and different that there are no results akin to them in the literature.

Full Product Details

Author:   Bruce C. Berndt
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1991
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 23.50cm
Weight:   0.801kg
ISBN:  

9781461269632


ISBN 10:   1461269636
Pages:   510
Publication Date:   30 September 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

16 q-Series and Theta-Functions.- 17 Fundamental Properties of Elliptic Functions.- 18 The Jacobian Elliptic Functions.- 19 Modular Equations of Degrees 3, 5, and 7 and Associated Theta-Function Identities.- 20 Modular Equations of Higher and Composite Degrees.- 21 Eisenstein Series.- References.

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