Ramanujan's place in the world of mathematics: essays providing a comparative study
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Delhi [u.a.]
Springer
2013
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVIII, 177 S.) Ill., graph. Darst. |
| ISBN: | 9788132207665 9788132207672 |
| DOI: | 10.1007/978-81-322-0767-2 |
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| adam_text | RAMANUJAN S PLACE IN THE WORLD OF MATHEMATICS
/ ALLADI, KRISHNASWAMI
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD (BY GEORGE ANDREWS)
PREFACE
PART I: RAMANUJAN AND OTHER MATHEMATICAL LUMINARIES
CHAPTER 1: RAMANUJAN - AN ESTIMATION
CHAPTER 2: RAMANUJAN - THE SECOND CENTURY
CHAPTER 3: L. J. ROGERS - A CONTEMPORARY OF RAMANUJAN
CHAPTER 4: P. A. MACMAHON - RAMANUJAN S DISTINGUISHED CONTEMPORARY
CHAPTER 5: FERMAT AND RAMANUJAN - A COMPARISON
CHAPTER 6: J. J. SYLVESTER - RAMANUJAN S ILLUSTRIOUS PREDECESSOR
CHAPTER 7: ERDOS AND RAMANUJAN - LEGENDS OF TWENTIETH CENTURY
MATHEMATICS
CHAPTER 8: C. G. J. JACOBI - ALGORIST PAR-EXCELLENCE
CHAPTER 9: EVARISTE GALOIS - FOUNDER OF GROUP THEORY
CHAPTER 10: LEONHARD EULER - MOST PROLIFIC MATHEMATICIAN IN HISTORY
CHAPTER 11: G. H. HARDY - RAMANUJAN S MENTOR
CHAPTER 12: J. E. LITTLEWOOD - RAMANUJAN S CONTEMPORARY AND HARDY S
COLLABORATOR
CHAPTER 13: NEILS HENRIK ABEL - NORWEGIAN MATHEMATICAL GENIUS
CHAPTER 14: ISSAI SCHUR - RAMANUJAN S GERMAN CONTEMPORARY
CHAPTER 15: ROBERT RANKIN - SCOTTISH LINK WITH RAMANUJAN
PART II: ON SOME ASPECTS OF RAMANUJAN S MATHEMATICS
CHAPTER 16: RAMANUJAN AND PI
CHAPTER 17: RAMANUJAN AND PARTITIONS
CHAPTER 18: MAJOR PROGRESS ON A PROBLEM OF RAMANUJAN
PART III: REVIEWS
CHAPTER 19: REVIEW OF “SRINIVASA RAMANUJAN: THE LOST NOTEBOOK AND
OTHER UNPUBLISHED PAPERS”
CHAPTER 20: REVIEW OF “THE MAN WHO KNEW INFINITY - BOOK BY ROBERT
KANIGEL”
CHAPTER 21: REVIEW OF “RAMANUJAN: LETTERS AND COMMENTARY - BOOK BY
BRUCE BERNDT AND ROBERT RANKIN”
CHAPTER 22: REVIEW OF “RAMANUJAN: ESSAYS AND SURVEYS - BOOK BY BRUCE
BERNDT AND ROBERT RANKIN”
CHAPTER 23: REVIEW OF “PARTITIONS - A PLAY ON RAMANUJAN”
PART IV: PRESERVING RAMANUJAN S LEGACY
CHAPTER 24: THE RAMANUJAN JOURNAL - ITS CONCEPTION, NEED AND PLACE
CHAPTER 25: A PILGRIMAGE TO RAMANUJAN S HOMETOWN
CHAPTER 26: THE FIRST SASTRA RAMANUJAN PRIZES
CHAPTER 27: RAMANUJAN S GROWING INFLUENCE
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
RAMANUJAN S PLACE IN THE WORLD OF MATHEMATICS
/ ALLADI, KRISHNASWAMI
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK IS A COLLECTION OF ARTICLES, ALL BY THE AUTHOR, ON THE INDIAN
MATHEMATICAL GENIUS SRINIVASA RAMANUJAN AS WELL AS ON SOME OF THE
GREATEST MATHEMATICIANS IN HISTORY WHOSE LIVES AND WORKS HAVE THINGS IN
COMMON WITH RAMANUJAN. IT PRESENTS A UNIQUE COMPARATIVE STUDY OF
RAMANUJAN’S SPECTACULAR DISCOVERIES AND REMARKABLE LIFE WITH THE
MONUMENTAL CONTRIBUTIONS OF VARIOUS MATHEMATICAL LUMINARIES, SOME OF
WHOM, LIKE RAMANUJAN, OVERCAME GREAT DIFFICULTIES IN LIFE. ALSO, AMONG
THE ARTICLES ARE REVIEWS OF THREE IMPORTANT BOOKS ON RAMANUJAN’S
MATHEMATICS AND LIFE. IN ADDITION, SOME ASPECTS OF RAMANUJAN’S
CONTRIBUTIONS, SUCH AS HIS REMARKABLE FORMULAE FOR THE NUMBER Π, HIS
PATHBREAKING WORK IN THE THEORY OF PARTITIONS, AND HIS FUNDAMENTAL
OBSERVATIONS ON QUADRATIC FORMS, ARE DISCUSSED. FINALLY, THE BOOK
DESCRIBES VARIOUS CURRENT EFFORTS TO ENSURE THAT THE LEGACY OF RAMANUJAN
WILL BE PRESERVED AND CONTINUE TO THRIVE IN THE FUTURE.THUS THE BOOK IS
AN ENLIGHTENING STUDY OF RAMANUJAN AS A MATHEMATICIAN AND A HUMAN BEING.
FROM THE FOREWORD BY GEORGE ANDREWS—ONE OF THE GREATEST EXPERTS ON
RAMANUJAN S WORK: “ALLADI, WHO HAS WORKED IN SEVERAL AREAS OF NUMBER
THEORY AND ANALYSIS, AND WHO, AS EDITOR OF THE RAMANUJAN JOURNAL, IS
UNIQUELY QUALIFIED TO WRITE THESE HISTORICAL SKETCHES WHICH PROVIDE AN
UNUSUAL AND COMPELLING VIEW OF RAMANUJAN.” ABOUT THE AUTHOR
KRISHNASWAMI ALLADI IS PROFESSOR OF MATHEMATICS AT THE UNIVERSITY OF
FLORIDA, WHERE HE WAS THE DEPARTMENT CHAIRMAN DURING 1998–2008. HE
RECEIVED HIS PHD FROM THE UNIVERSITY OF CALIFORNIA, LOS ANGELES,IN
1978. HIS RESEARCH AREA IS NUMBER THEORY, WHERE HE HAS MADE NOTABLE
CONTRIBUTIONS. IN 1987, DURING THE RAMANUJAN CENTENNIAL IN INDIA, HE GOT
THE INSPIRATION TO LAUNCH THE RAMANUJAN JOURNAL (NOW PUBLISHED BY
SPRINGER), DEVOTED TO ALL AREAS OFMATHEMATICS INFLUENCED BY
RAMANUJAN.HE ANNUALLY WRITES ARTICLESABOUT RAMANUJAN AND HIS PLACE IN
THE WORLD OF MATHEMATICS, FOR JOURNALS AND NEWSPAPERS. HE IS PRESENTLY
EDITOR-IN-CHIEF OF THE RAMANUJAN JOURNAL, EDITOR OF THE BOOK SERIES
DEVELOPMENTS IN MATHEMATICS (SPRINGER), AND ASSOCIATE EDITOR OF NOTICES
OF THE AMERICAN MATHEMATICAL SOCIETY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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| subject_GND | (DE-588)118748955 |
| title | Ramanujan's place in the world of mathematics essays providing a comparative study |
| title_auth | Ramanujan's place in the world of mathematics essays providing a comparative study |
| title_exact_search | Ramanujan's place in the world of mathematics essays providing a comparative study |
| title_full | Ramanujan's place in the world of mathematics essays providing a comparative study Krishnaswami Alladi |
| title_fullStr | Ramanujan's place in the world of mathematics essays providing a comparative study Krishnaswami Alladi |
| title_full_unstemmed | Ramanujan's place in the world of mathematics essays providing a comparative study Krishnaswami Alladi |
| title_short | Ramanujan's place in the world of mathematics |
| title_sort | ramanujan s place in the world of mathematics essays providing a comparative study |
| title_sub | essays providing a comparative study |
| topic | Ramanujan Aiyangar, Srinivasa 1887-1920 (DE-588)118748955 gnd |
| topic_facet | Ramanujan Aiyangar, Srinivasa 1887-1920 |
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