Автор: George E. Andrews; Bruce C. Berndt Название: Ramanujan`s Lost Notebook ISBN: 1489991751 ISBN-13(EAN): 9781489991751 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven`s tenth symphony.This volume is the fourth of five volumes that the authors plan to write on Ramanujan`s lost notebook.ГЇВїВЅ In contrast to the first three books on Ramanujan`s Lost Notebook, the fourth book does not focus on q-series.
Автор: Shaun Cooper Название: Ramanujan`s Theta Functions ISBN: 3319561715 ISBN-13(EAN): 9783319561714 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Preface.- 0. Sum to Product Identities.- 1. Elliptic Functions.- 2. Transformations.- 3. Theta Functions.- 4. Levels 1, 2, 3, and 4: Jacobi's Inversion Theorem and Ramanujan's Alternative Theories.- 5. Level 5: The Rogers-Ramanujan Continued Fraction.- 6. Level 6: Ramanujan's Cubic Continued Fraction.- 7. Level 7.- 8. Level 8: The Ramanujan-Gollnitz-Gordon Continued Fraction.- 9. Level 9.- 10. Level 10: Ramanujan's Function k.- 11. Levels 11 and 23.- 12. Level 12.- 13. Hypergeometric Modular Transformations.- 14. Ramanujan's Series for 1/pi.- References.
Автор: George E. Andrews; Bruce C. Berndt Название: Ramanujan`s Lost Notebook ISBN: 1441926666 ISBN-13(EAN): 9781441926661 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "Ramanujan`s 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.
Автор: George E. Andrews; Bruce C. Berndt Название: Ramanujan`s Lost Notebook ISBN: 3030085503 ISBN-13(EAN): 9783030085506 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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
Автор: George E. Andrews; Bruce C. Berndt Название: Ramanujan`s Lost Notebook ISBN: 1461440807 ISBN-13(EAN): 9781461440802 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven`s tenth symphony.This volume is the fourth of five volumes that the authors plan to write on Ramanujan`s lost notebook.ГЇВїВЅ In contrast to the first three books on Ramanujan`s Lost Notebook, the fourth book does not focus on q-series.
Автор: George E. Andrews; Bruce C. Berndt Название: Ramanujan`s Lost Notebook ISBN: 1441920625 ISBN-13(EAN): 9781441920621 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan`s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan`s life.
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: 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: 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: 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: 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: 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.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
