Ramanujan Summation of Divergent Series, Bernard Candelpergher
Автор: Bruce C. Berndt Название: Ramanujan`s Notebooks ISBN: 1461269326 ISBN-13(EAN): 9781461269328 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first of two volumes devoted to proving the results found in the unorganized portions of the second notebook and in the third notebook. The author also proves those results in the first notebook that are not found in the second or third notebooks.
Автор: Bruce C. Berndt Название: Ramanujan`s Notebooks ISBN: 1461288657 ISBN-13(EAN): 9781461288657 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan`s quarterly reports. In this volume, we examine Chapters 10-15 in Ramanujan`s second notebook.
Автор: Bruce C. Berndt Название: Ramanujan`s Notebooks ISBN: 1461272211 ISBN-13(EAN): 9781461272212 Издательство: Springer Рейтинг: Цена: 34937.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The fifth and final volume to establish the results claimed by the great Indian mathematician Srinivasa Ramanujan in his "Notebooks" first published in 1957. Although each of the five volumes contains many deep results, the average depth in this volume is possibly greater than in the first four.
Автор: Cooper Shaun Et Al Название: Development Of Elliptic Functions According To Ramanujan ISBN: 9814366455 ISBN-13(EAN): 9789814366458 Издательство: World Scientific Publishing Рейтинг: Цена: 11246.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides an efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. This book is suitable for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan`s work.
Автор: M. Ram Murty; V. Kumar Murty Название: The Mathematical Legacy of Srinivasa Ramanujan ISBN: 8132217438 ISBN-13(EAN): 9788132217435 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focusing on a subset of Ramanujan`s significant papers, this book gives an informal account of major developments that emanated from his work in the 20th and 21st centuries. The essays presented here show how Ramanujan shaped the course of modern mathematics.
Автор: Bruce C. Berndt Название: Ramanujan`s Notebooks ISBN: 1461270073 ISBN-13(EAN): 9781461270072 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Davidoff Название: Elementary Number Theory, Group Theory and Ramanujan Graphs ISBN: 0521824265 ISBN-13(EAN): 9780521824262 Издательство: Cambridge Academ Рейтинг: Цена: 24077.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.
Автор: Bruce C. Berndt Название: Ramanujan`s Notebooks ISBN: 1461269636 ISBN-13(EAN): 9781461269632 Издательство: Springer Рейтинг: Цена: 34937.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.
Автор: Loday-Richaud Название: Divergent Series, Summability and Resurgence II ISBN: 3319290746 ISBN-13(EAN): 9783319290744 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations.The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided, which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s proof of the meromorphic classification theorem that characterizes the Stokes phenomenon for linear differential equations.This volume is the second in a series of three, entitled Divergent Series, Summability and Resurgence. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes, it can be read independently.
Описание: Provides a self-contained exposition of several formulas discovered by Srinivasa Ramanujan. This book covers: the evaluation of the Rogers-Ramanujan continued fraction - a result that convinced G H Hardy that Ramanujan was a mathematician of the `highest class`, and what G H Hardy called Ramanujan`s `Most Beautiful Identity`.
Автор: Werner Balser Название: From Divergent Power Series to Analytic Functions ISBN: 3540582681 ISBN-13(EAN): 9783540582687 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents the theory of multisummability, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. This work is suitable for graduate students and researchers in mathematics and theoretical physics.
Автор: Anthony Sofo Название: Computational Techniques for the Summation of Series ISBN: 1461349044 ISBN-13(EAN): 9781461349044 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "This book collects in one volume the author`s considerable results in the area of the summation of series and their representation in closed form, and details the techniques by which they have been obtained...
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