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Ramanujan: Essays and Surveys
 
Edited by: Bruce C. Berndt University of Illinois, Urbana-Champaign, IL
Robert A. Rankin University of Glasgow, Glasgow, Scotland
A co-publication of the AMS and London Mathematical Society
Ramanujan: Essays and Surveys
Hardcover ISBN:  978-0-8218-2624-9
Product Code:  HMATH/22
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3890-6
Product Code:  HMATH/22.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Hardcover ISBN:  978-0-8218-2624-9
eBook: ISBN:  978-1-4704-3890-6
Product Code:  HMATH/22.B
List Price: $245.00 $185.00
MAA Member Price: $220.50 $166.50
AMS Member Price: $196.00 $148.00
Ramanujan: Essays and Surveys
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Ramanujan: Essays and Surveys
Edited by: Bruce C. Berndt University of Illinois, Urbana-Champaign, IL
Robert A. Rankin University of Glasgow, Glasgow, Scotland
A co-publication of the AMS and London Mathematical Society
Hardcover ISBN:  978-0-8218-2624-9
Product Code:  HMATH/22
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3890-6
Product Code:  HMATH/22.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Hardcover ISBN:  978-0-8218-2624-9
eBook ISBN:  978-1-4704-3890-6
Product Code:  HMATH/22.B
List Price: $245.00 $185.00
MAA Member Price: $220.50 $166.50
AMS Member Price: $196.00 $148.00
  • Book Details
     
     
    History of Mathematics
    Volume: 222001; 347 pp
    MSC: Primary 01; Secondary 11; 33

    This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader.

    The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes.

    Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the Journal of the Indian Mathematical Society. The last half of the book begins with a section on “Ramanujan's Manuscripts and Notebooks”. Included is an important article by G. E. Andrews on Ramanujan's lost notebook.

    The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's “Ramanujan and pi”, and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson.

    Readership

    General mathematical audience.

  • Table of Contents
     
     
    • The life of Ramanujan [ MR MR1862732 ]
    • Bruce C. Berndt — The four photographs of Ramanujan
    • Bruce C. Berndt and Robert A. Rankin — The books studied by Ramanujan in India
    • Bruce C. Berndt — The influence of Carr’s synopsis on Ramanujan
    • Bruce C. Berndt — The notebooks of Srinivasa Ramanujan
    • A recently discovered letter giving Ramanujan’s examination scores
    • S. Chandrasekhar — On Ramanujan
    • Robert A. Rankin — The Ramanujan family record
    • Ramanujan’s illness [ MR MR1862732 ]
    • Robert A. Rankin — Ramanujan as a patient
    • D. A. B. Young — Ramanujan’s illness
    • S. Chandrasekhar — An incident in the life of S. Ramanujan, F.R.S.: Conversations with G. H. Hardy, F.R.S. and J. E. Littlewood, F.R.S. and their sequel
    • S. Janaki [ MR MR1862732 ]
    • Bruce C. Berndt — S. Janaki Ammal (Mrs. Ramanujan)
    • Conversation “I didn’t understand his work, but I knew his worth”
    • S. Narayana Iyer [ MR MR1862732 ]
    • Bruce C. Berndt — A short biography of S. Narayana Iyer
    • S. Narayana Aiyar — The distribution of primes
    • S. Narayana Aiyar — Some theorems in summation
    • E. H. Neville [ MR MR1862732 ]
    • E. H. Neville — Srinivasa Ramanujan [redacted]
    • University lectures in Madras
    • Ramanujan’s manuscripts and notebooks [ MR MR1862732 ]
    • Robert A. Rankin — Ramanujan’s manuscripts and notebooks
    • Robert A. Rankin — Ramanujan’s manuscripts and notebooks, II
    • Bruce C. Berndt — An overview of Ramanujan’s notebooks [redacted]
    • George E. Andrews — An introduction to Ramanujan’s “lost” notebook
    • Nontechnical articles on Ramanujan’s work [ MR MR1862732 ]
    • Jonathan M. Borwein and Peter B. Borwein — Ramanujan and pi [redacted]
    • Bruce C. Berndt — $\pi $ related developments since 1988
    • Atle Selberg — Reflections around the Ramanujan centenary
    • Bruce C. Berndt, Youn-Seo Choi and Soon-Yi Kang — The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society
    • Somewhat more technical articles on Ramanujan’s work [ MR MR1862732 ]
    • Freeman J. Dyson — A walk through Ramanujan’s garden
    • R. Askey — Ramanujan and hypergeometric and basic hypergeometric series
    • G. N. Watson — The final problem: An account of the mock theta functions
  • Reviews
     
     
    • A valuable source of initiation into Ramanujan's mathematics for some time to come.

      B. Sury, Resonance
    • The book under review assembles a fine collection of essays by several distinguished authors on a variety of topics that range over Ramanujan's remarkable life and contributions ... This book is a worthy sequel to Ramanujan: Letters and Commentary. It also nicely complements Hardy's classic Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work and Ramanujan's Collected Papers ... Selberg's ... article provides many insights and is a magnificent tribute to Ramanujan ... This book, with its delightful collection of essays and surveys relating to Ramanujan's life and mathematics, is accessible to, and an inspiration for, laymen, students, and professional mathematicians alike.

      MAA Monthly
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 222001; 347 pp
MSC: Primary 01; Secondary 11; 33

This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader.

The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes.

Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the Journal of the Indian Mathematical Society. The last half of the book begins with a section on “Ramanujan's Manuscripts and Notebooks”. Included is an important article by G. E. Andrews on Ramanujan's lost notebook.

The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's “Ramanujan and pi”, and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson.

Readership

General mathematical audience.

  • The life of Ramanujan [ MR MR1862732 ]
  • Bruce C. Berndt — The four photographs of Ramanujan
  • Bruce C. Berndt and Robert A. Rankin — The books studied by Ramanujan in India
  • Bruce C. Berndt — The influence of Carr’s synopsis on Ramanujan
  • Bruce C. Berndt — The notebooks of Srinivasa Ramanujan
  • A recently discovered letter giving Ramanujan’s examination scores
  • S. Chandrasekhar — On Ramanujan
  • Robert A. Rankin — The Ramanujan family record
  • Ramanujan’s illness [ MR MR1862732 ]
  • Robert A. Rankin — Ramanujan as a patient
  • D. A. B. Young — Ramanujan’s illness
  • S. Chandrasekhar — An incident in the life of S. Ramanujan, F.R.S.: Conversations with G. H. Hardy, F.R.S. and J. E. Littlewood, F.R.S. and their sequel
  • S. Janaki [ MR MR1862732 ]
  • Bruce C. Berndt — S. Janaki Ammal (Mrs. Ramanujan)
  • Conversation “I didn’t understand his work, but I knew his worth”
  • S. Narayana Iyer [ MR MR1862732 ]
  • Bruce C. Berndt — A short biography of S. Narayana Iyer
  • S. Narayana Aiyar — The distribution of primes
  • S. Narayana Aiyar — Some theorems in summation
  • E. H. Neville [ MR MR1862732 ]
  • E. H. Neville — Srinivasa Ramanujan [redacted]
  • University lectures in Madras
  • Ramanujan’s manuscripts and notebooks [ MR MR1862732 ]
  • Robert A. Rankin — Ramanujan’s manuscripts and notebooks
  • Robert A. Rankin — Ramanujan’s manuscripts and notebooks, II
  • Bruce C. Berndt — An overview of Ramanujan’s notebooks [redacted]
  • George E. Andrews — An introduction to Ramanujan’s “lost” notebook
  • Nontechnical articles on Ramanujan’s work [ MR MR1862732 ]
  • Jonathan M. Borwein and Peter B. Borwein — Ramanujan and pi [redacted]
  • Bruce C. Berndt — $\pi $ related developments since 1988
  • Atle Selberg — Reflections around the Ramanujan centenary
  • Bruce C. Berndt, Youn-Seo Choi and Soon-Yi Kang — The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society
  • Somewhat more technical articles on Ramanujan’s work [ MR MR1862732 ]
  • Freeman J. Dyson — A walk through Ramanujan’s garden
  • R. Askey — Ramanujan and hypergeometric and basic hypergeometric series
  • G. N. Watson — The final problem: An account of the mock theta functions
  • A valuable source of initiation into Ramanujan's mathematics for some time to come.

    B. Sury, Resonance
  • The book under review assembles a fine collection of essays by several distinguished authors on a variety of topics that range over Ramanujan's remarkable life and contributions ... This book is a worthy sequel to Ramanujan: Letters and Commentary. It also nicely complements Hardy's classic Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work and Ramanujan's Collected Papers ... Selberg's ... article provides many insights and is a magnificent tribute to Ramanujan ... This book, with its delightful collection of essays and surveys relating to Ramanujan's life and mathematics, is accessible to, and an inspiration for, laymen, students, and professional mathematicians alike.

    MAA Monthly
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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