Srinivasa Ramanujan: Life and Work of a Natural Mathematical Genius, Swayambhu, Srinivasa Rao K.
Автор: Srinivasa Rao Название: Srinivasa Ramanujan ISBN: 9811604495 ISBN-13(EAN): 9789811604492 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Sharing valuable insights into the many stages of Ramanujan`s life, this book provides glimpses into his prolific research on highly composite numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new summation theorem.
Автор: M. Ram Murty; V. Kumar Murty Название: The Mathematical Legacy of Srinivasa Ramanujan ISBN: 8132217438 ISBN-13(EAN): 9788132217435 Издательство: Springer Рейтинг: Цена: 107130.00 T 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: Ramanujan Название: Collected Papers of Srinivasa Ramanujan ISBN: 1107536510 ISBN-13(EAN): 9781107536517 Издательство: Cambridge Academ Рейтинг: Цена: 46470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included.
Автор: Davidoff Название: Elementary Number Theory, Group Theory and Ramanujan Graphs ISBN: 0521824265 ISBN-13(EAN): 9780521824262 Издательство: Cambridge Academ Рейтинг: Цена: 160510.00 T 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: Sills, Andrew V. Название: Invitation to the rogers-ramanujan identities ISBN: 0367657619 ISBN-13(EAN): 9780367657611 Издательство: Taylor&Francis Рейтинг: Цена: 51030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers-Ramanujan identities and will include related historical material that is unavailable elsewhere.
Автор: Campbell, Geoffrey B Название: Vector Partitions, Visible Points and Ramanujan Functions ISBN: 1032003669 ISBN-13(EAN): 9781032003665 Издательство: Taylor&Francis Рейтинг: Цена: 168430.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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: 74970.00 T 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: Ono, Ken Aczel, Amir D. Название: My search for ramanujan ISBN: 3319255665 ISBN-13(EAN): 9783319255668 Издательство: Springer Рейтинг: Цена: 25150.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Covering the life and enduring impact of the late mathematical prodigy Srinivasa Ramanujan and the influence he had on the life and career of Ken Ono, this book presents a powerful biographical diptych of two great mathematicians. Ono was inspired to become a mathematician from the life and scientific quests of Ramanujan; Ramanujan's story guided Ono throughout his life, giving him hope when he needed it most. Although they never met, Ono believes a letter sent from Ramanujan's widow to his father, then a prominent Japanese mathematician, was a sign. This was the beginning of Ono's mission to carry on Ramanujan's legacy, and to develop Ramanujan's ideas within the context of modern mathematics. Since then, Ono has spent his academic life trying to solve the mysteries that G.H. Hardy, one of the greatest English mathematicians of the 20th century, and others could not unravel: to find how Ramanujan came to his mathematical truths (which he claimed the Indian goddess Namagiri would tell him in dreams). In this way, Ono retraces the steps of Ramanujan's life throughout his career, drawing inspiration and strength for his own life from the travails and ultimate triumphs of his predecessor's brilliant, but tragically short, career.
Название: An Invitation to the Rogers-Ramanujan Identities ISBN: 1498745253 ISBN-13(EAN): 9781498745253 Издательство: Taylor&Francis Рейтинг: Цена: 112290.00 T Наличие на складе: Нет в наличии.
Автор: Bruce C. Berndt Название: Ramanujan`s Notebooks ISBN: 1461269326 ISBN-13(EAN): 9781461269328 Издательство: Springer Рейтинг: Цена: 167700.00 T 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: 153720.00 T 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.
In this monograph, we study recent results on some categories of trigonometric/exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through the two chapters of this monograph, we wish to highlight the applicability and breadth of techniques of trigonometric/exponential sums in various problems focusing on the interplay of Mathematical Analysis and Analytic Number Theory. We wish to stress the point that the goal is not only to prove the desired results, but also to present a plethora of intermediate Propositions and Corollaries investigating the behaviour of such sums, which can also be applied in completely different problems and settings than the ones treated within this monograph.
In the present work we mainly focus on the applications of trigonometric/exponential sums in the study of Ramanujan sums - which constitute a very classical domain of research in Number Theory - as well as the study of certain cotangent sums with a wide range of applications, especially in the study of Dedekind sums and a facet of the research conducted on the Riemann Hypothesis. For example, in our study of the cotangent sums treated within the second chapter, the methods and techniques employed reveal unexpected connections with independent and very interesting problems investigated in the past by R de la Bretиche and G Tenenbaum on trigonometric series, as well as by S Marmi, P Moussa and J-C Yoccoz on Dynamical Systems.
Overall, a reader who has mastered fundamentals of Mathematical Analysis, as well as having a working knowledge of Classical and Analytic Number Theory, will be able to gradually follow all the parts of the monograph. Therefore, the present monograph will be of interest to advanced undergraduate and graduate students as well as researchers who wish to be informed on the latest developments on the topics treated.
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