Ramanujan`s Lost Notebook, George E. Andrews; Bruce C. Berndt

Автор: George E. Andrews; Bruce C. Berndt
Название: Ramanujan`s Lost Notebook
ISBN: 1489991751 ISBN-13(EAN): 9781489991751
Издательство: Springer
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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: 1441926666 ISBN-13(EAN): 9781441926661
Издательство: Springer
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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: 1441920625 ISBN-13(EAN): 9781441920621
Издательство: Springer
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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.

Автор: Shaun Cooper
Название: Ramanujan`s Theta Functions
ISBN: 3319561715 ISBN-13(EAN): 9783319561714
Издательство: Springer
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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: Chan Hei-Chi
Название: Invitation To Q-Series, An: From Jacobi`S Triple Product Identity To Ramanujan`S "Most Beautiful Identity "
ISBN: 9814343846 ISBN-13(EAN): 9789814343848
Издательство: World Scientific Publishing
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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: Bernard Candelpergher
Название: Ramanujan Summation of Divergent Series
ISBN: 3319636294 ISBN-13(EAN): 9783319636290
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Цена: 6288.00 р.
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Описание: The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This provides simple proofs of theorems on the summation of some divergent series. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes.

Автор: Cooper Shaun Et Al
Название: Development Of Elliptic Functions According To Ramanujan
ISBN: 9814366455 ISBN-13(EAN): 9789814366458
Издательство: World Scientific Publishing
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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: Bruce C. Berndt
Название: Ramanujan`s Notebooks
ISBN: 1461272211 ISBN-13(EAN): 9781461272212
Издательство: Springer
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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: Bruce C. Berndt
Название: Ramanujan`s Notebooks
ISBN: 1461270073 ISBN-13(EAN): 9781461270072
Издательство: Springer
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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: Bruce C. Berndt
Название: Ramanujan`s Notebooks
ISBN: 1461269636 ISBN-13(EAN): 9781461269632
Издательство: Springer
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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.