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

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: 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: 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: George E. Andrews; Bruce C. Berndt
Название: Ramanujan`s Lost Notebook
ISBN: 1441926666 ISBN-13(EAN): 9781441926661
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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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Цена: 18167.00 р.
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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: 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: 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: 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: Bruce C. Berndt
Название: Ramanujan`s Notebooks
ISBN: 1461288657 ISBN-13(EAN): 9781461288657
Издательство: Springer
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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: 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.