Ramanujan`s Notebooks, Bruce C. Berndt

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: Davidoff
Название: Elementary Number Theory, Group Theory and Ramanujan Graphs
ISBN: 0521824265 ISBN-13(EAN): 9780521824262
Издательство: Cambridge Academ
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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: Bernard Candelpergher
Название: Ramanujan Summation of Divergent Series
ISBN: 3319636294 ISBN-13(EAN): 9783319636290
Издательство: Springer
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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: 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.

Автор: Bruce C. Berndt
Название: Ramanujan`s Notebooks
ISBN: 1461269326 ISBN-13(EAN): 9781461269328
Издательство: Springer
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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: 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: M. Ram Murty; V. Kumar Murty
Название: The Mathematical Legacy of Srinivasa Ramanujan
ISBN: 8132217438 ISBN-13(EAN): 9788132217435
Издательство: Springer
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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: George E. Andrews; Bruce C. Berndt
Название: Ramanujan`s Lost Notebook
ISBN: 1461440807 ISBN-13(EAN): 9781461440802
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: 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: 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.