S Ramanujan

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The Man Who Knew Infinity

Author : Robert Kanigel
Publisher : Simon and Schuster
Page : 464 pages
File Size : 43,6 Mb
Release : 2016-04-26
Category : Biography & Autobiography
ISBN : 9781476763491

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The Man Who Knew Infinity by Robert Kanigel Pdf

A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.

Srinivasa Ramanjuan: Friend of Numbers

Author : Priya Narayanan
Publisher : Unknown
Page : 28 pages
File Size : 40,6 Mb
Release : 2021-11
Category : Mathematicians
ISBN : 9389203805

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Srinivasa Ramanjuan: Friend of Numbers by Priya Narayanan Pdf

Age range 6+ A toddler captivated by patterns...A little boy filling his slate with numbers, rubbing them out with his elbow and starting again...A teenager solving complex maths problems...A young man matching the best minds in Cambridge. Bringing the story of brilliant mathematician Srinivasa Ramanujan to children, this book follows his singular fascination with numbers!

Srinivasa Ramanujan

Author : K. Srinivasa Rao
Publisher : Springer Nature
Page : 299 pages
File Size : 43,6 Mb
Release : 2021-05-30
Category : Mathematics
ISBN : 9789811604478

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Srinivasa Ramanujan by K. Srinivasa Rao Pdf

This book offers a unique account on the life and works of Srinivasa Ramanujan—often hailed as the greatest “natural” mathematical genius. Sharing valuable insights into the many stages of Ramanujan’s life, this book provides glimpses into his prolific research on highly composite numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new summation theorem. It also includes the list of Ramanujan’s collected papers, letters and other material present at the Wren Library, Trinity College in Cambridge, UK. This book is a valuable resource for all readers interested in Ramanujan’s life, work and indelible contributions to mathematics.

Ramanujan

Author : Srinivasa Ramanujan Aiyangar
Publisher : American Mathematical Soc.
Page : 366 pages
File Size : 50,5 Mb
Release : 1995-09-07
Category : Mathematics
ISBN : 0821891251

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Ramanujan by Srinivasa Ramanujan Aiyangar Pdf

The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.

The Mathematical Legacy of Srinivasa Ramanujan

Author : M. Ram Murty,V. Kumar Murty
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 42,9 Mb
Release : 2012-10-05
Category : Mathematics
ISBN : 9788132207702

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The Mathematical Legacy of Srinivasa Ramanujan by M. Ram Murty,V. Kumar Murty Pdf

Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.

Collected Papers of Srinivasa Ramanujan

Author : Srinivasa Ramanujan
Publisher : Cambridge University Press
Page : 393 pages
File Size : 44,7 Mb
Release : 2015-12-03
Category : Mathematics
ISBN : 9781107536517

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Collected Papers of Srinivasa Ramanujan by Srinivasa Ramanujan Pdf

Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.

Mathematics Wizard Srinivasa Ramanujan

Author : Narendra Govil And Bhu Dev Sharma
Publisher : Prabhat Prakashan
Page : 232 pages
File Size : 48,7 Mb
Release : 2021-03-10
Category : Biography & Autobiography
ISBN : 9789390366736

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Mathematics Wizard Srinivasa Ramanujan by Narendra Govil And Bhu Dev Sharma Pdf

Mathematics Wizard Srinivasa Ramanujan is a biographical work that explores the life and achievements of the extraordinary mathematician, Srinivasa Ramanujan. Written by Narendra Govil and Bhu Dev Sharma, the book delves into the remarkable journey of Ramanujan, who made groundbreaking contributions to the field of mathematics despite facing numerous challenges. Key Aspects of The Book “Mathematics Wizard Srinivasa Ramanujan”: Exceptional Mathematical Mind: The book showcases Ramanujan's exceptional mathematical abilities and his innate talent for numbers. It highlights his prodigious intuition and the unique insights he brought to various branches of mathematics, such as number theory, infinite series, and modular forms. Struggles and Determination: The book explores the challenges Ramanujan faced throughout his life, including his limited formal education and financial difficulties. It emphasizes his unwavering determination and relentless pursuit of knowledge, as he continued to explore and develop his mathematical ideas despite the obstacles he encountered. Collaborations and Recognition: The book may highlight Ramanujan's collaborations with eminent mathematicians, such as G.H. Hardy, and the impact of their work together. It may also delve into the recognition Ramanujan eventually received for his groundbreaking contributions to mathematics, both during his lifetime and posthumously. Overall, Mathematics Wizard Srinivasa Ramanujan offers readers an inspiring glimpse into the life of a mathematical genius who defied the odds and left an indelible mark on the field of mathematics. It portrays Ramanujan's incredible talents, perseverance, and enduring legacy that continues to inspire mathematicians and enthusiasts around the world. Narendra Govil and Bhu Dev Sharma celebrate the genius of Srinivasa Ramanujan, one of the most influential Indian mathematicians of all time. His remarkable mathematical discoveries and insights revolutionized the field of mathematics and number theory, and his mathematical brilliance, contributions, and theories continue to be studied and appreciated to this day. From his groundbreaking work in number theory to his intricate mathematical puzzles and equations, Ramanujan's mathematical concepts and principles have shaped the way we think about mathematics. His mathematical achievements, innovation, and legacy have given us new ways of exploring and understanding the world with mathematical thinking. Whether it's his revolutionary mathematical theories or his revolutionary mathematical exploration, Ramanujan's work will continue to be celebrated for generations to come.

Ramanujan's Lost Notebook

Author : George E. Andrews,Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 54,7 Mb
Release : 2013-06-04
Category : Mathematics
ISBN : 9781461440819

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Ramanujan's Lost Notebook by George E. Andrews,Bruce C. Berndt Pdf

​​​​In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." 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.​ In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on q-series. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited." - MathSciNet Review from the first volume: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." - Gazette of the Australian Mathematical Society​

Srinivasa Ramanujan

Author : Sumitha Menon
Publisher : Prodigy Books, an Imprint of New Horizon Media
Page : 128 pages
File Size : 41,9 Mb
Release : 2024-06-17
Category : Juvenile Nonfiction
ISBN : 9788183687584

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Srinivasa Ramanujan by Sumitha Menon Pdf

"A sensitives stubborn, self-willed child from a poor tamil family, srinivasa ramanujan grew up to be one of india's greatest mathematicians, whose discoveries continue to puzzle experts the world over . This eccentric genius who found spriritual meaning in mathematics, formulated a theory of reality around zero and infinity. This is the story of a clerk in the madras port trustwho eventually become a fellow of trinity college, cambridge and his english mentors."

Ramanujan: Essays and Surveys

Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 49,9 Mb
Release : 2001
Category : Biography & Autobiography
ISBN : 0821826247

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Ramanujan: Essays and Surveys by Bruce C. Berndt Pdf

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. This volume complements the book Ramanujan: Letters and Commentary, Volume 9, in the AMS series, History of Mathematics. For more on Ramanujan, see these AMS publications Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Volume 136.H, and Collected Papers of Srinivasa Ramanujan, Volume 159.H, in the AMS Chelsea Publishing series.

Ramanujan's Theta Functions

Author : Shaun Cooper
Publisher : Springer
Page : 687 pages
File Size : 53,6 Mb
Release : 2017-06-12
Category : Mathematics
ISBN : 9783319561721

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Ramanujan's Theta Functions by Shaun Cooper Pdf

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.

S. Ramanujan

Author : Dilip M. Salwi
Publisher : books catalog
Page : 72 pages
File Size : 50,8 Mb
Release : 2004
Category : Mathematicians
ISBN : UOM:39015061378710

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S. Ramanujan by Dilip M. Salwi Pdf

All that mattered to him was the magic and mystery of numbers. The world of numbers was the sole reality for S. Ramanujan, India's most famous mathematician of the twentieth century.

Ramanujan

Author : Godfrey Harold Hardy
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 48,8 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 9780821820230

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Ramanujan by Godfrey Harold Hardy Pdf

Another excellent book long out of print but much in demand. This book is pulled together by Ramanujan's primary mentor, G. H. Hardy, who was the first to recognize the amazing nature of Ramanujan's ideas. Another exceptional classic from the Chelsea list.

Ramanujan's Place in the World of Mathematics

Author : Krishnaswami Alladi
Publisher : Springer Nature
Page : 265 pages
File Size : 45,7 Mb
Release : 2021-09-17
Category : Mathematics
ISBN : 9789811562419

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Ramanujan's Place in the World of Mathematics by Krishnaswami Alladi Pdf

The First Edition of the 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 life 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 pi, his path-breaking 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. This Second Edition is an expanded version of the first with six more articles by the author. Of note is the inclusion of a detailed review of the movie The Man Who Knew Infinity, a description of the fundamental work of the SASTRA Ramanujan Prize Winners, and an account of the Royal Society Conference to honour Ramanujan’s legacy on the centenary of his election as FRS.