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Srinivasa Ramanujan: His Life, Legacy, and Mathematical Influence

Author : Krishnaswami Alladi

Publisher : Springer

Page : 0 pages

File Size : 10,94 MB

Release : 2024-04-16

Category : Mathematics

ISBN : 9783031501463

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Book Description

This authoritative volume covers aspects of the life and enduring mathematical research of Srinivasa Ramanujan. Born in the late 19th century, Ramanujan had little formal training in pure mathematics. This iconic figure made extraordinary contributions to many facets of mathematical analysis and number theory. During his short life, Ramanujan published 37 papers and curated in notebooks more than 3900 identities which he recorded without proof. Nearly all of his claims that were new have now been proven correct. He stated numerous results that were both original and highly unconventional. Many of these identities have led to major achievements in a wide range of areas of mathematics and theoretical physics. The eight editors of this Handbook have assembled articles on many aspects of Ramanujan’s life and mathematical legacy with a focus on the evolution of his discoveries into many important sub-disciplines of current mathematical research. Included are 234 articles supplied by 88 authors. The book will be of interest to students, teachers, researchers and anyone who is intrigued by the legacy of one of the most striking figures in the history of mathematics.



The Mathematical Legacy of Srinivasa Ramanujan

Author : M. Ram Murty

Publisher : Springer Science & Business Media

Page : 185 pages

File Size : 13,12 MB

Release : 2012-10-06

Category : Mathematics

ISBN : 8132207696

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Book Description

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.



My Search for Ramanujan

Author : Ken Ono

Publisher : Springer

Page : 235 pages

File Size : 33,56 MB

Release : 2016-04-20

Category : Mathematics

ISBN : 3319255681

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Book Description

"The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity."



Srinivasa Ramanujan

Author : K. Srinivasa Rao

Publisher : Springer Nature

Page : 299 pages

File Size : 14,95 MB

Release : 2021-05-30

Category : Mathematics

ISBN : 9811604479

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Book Description

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's Place in the World of Mathematics

Author : Krishnaswami Alladi

Publisher : Springer Nature

Page : 265 pages

File Size : 38,65 MB

Release : 2021-09-17

Category : Mathematics

ISBN : 9811562415

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Book Description

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.



Srinivas Ramanujam

Author : Sanjay Goyal

Publisher : Prabhat Prakashan

Page : 28 pages

File Size : 38,73 MB

Release : 2009-01-01

Category : Biography & Autobiography

ISBN : 9788184300161

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Book Description

Embark on a journey into the extraordinary life of Srinivasa Ramanujan with "Srinivas Ramanujam" by Sanjay Goyal, a captivating biography that celebrates the genius and legacy of one of India's greatest mathematical minds. Join author Sanjay Goyal as he delves into the fascinating world of Ramanujan, a self-taught mathematician whose contributions to number theory, infinite series, and mathematical analysis continue to inspire mathematicians and scholars worldwide. Through meticulous research and vivid storytelling, Goyal paints a vivid portrait of Ramanujan's early life, his struggles with poverty and illness, and his remarkable journey to academic recognition and acclaim. From his humble beginnings in rural India to his collaborations with renowned mathematicians at Cambridge University, Ramanujan's story is one of perseverance, passion, and unparalleled genius. As you immerse yourself in Ramanujan's world, you'll gain a deeper appreciation for his groundbreaking contributions to mathematics and his enduring legacy. From his famous "lost notebook" to his pioneering work on modular forms and elliptic functions, Ramanujan's insights continue to shape the field of mathematics to this day. With its engaging narrative and rich historical context, "Srinivas Ramanujam" offers readers a fascinating glimpse into the life and mind of one of the greatest mathematicians of the 20th century. Goyal's portrayal of Ramanujan's life is both inspiring and enlightening, showcasing the power of passion, curiosity, and perseverance in the pursuit of knowledge. Whether you're a mathematics enthusiast, a history buff, or simply curious about the lives of extraordinary individuals, "Srinivas Ramanujam" is a must-read biography that will leave a lasting impression. Join Sanjay Goyal on a journey of discovery and celebration as he pays tribute to the life and legacy of Srinivasa Ramanujan. Don't miss your chance to explore the remarkable story of Srinivasa Ramanujan. Grab your copy of "Srinivas Ramanujam" by Sanjay Goyal today and embark on a journey of intellectual discovery and inspiration.



Collected Papers of Srinivasa Ramanujan

Author : Srinivasa Ramanujan

Publisher : Cambridge University Press

Page : 393 pages

File Size : 49,66 MB

Release : 2015-12-03

Category : Mathematics

ISBN : 1107536510

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Book Description

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.



The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan

Author : Amy Alznauer

Publisher : Candlewick

Page : 49 pages

File Size : 34,92 MB

Release : 2020-04-14

Category : Juvenile Nonfiction

ISBN : 0763690481

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Book Description

A young mathematical genius from India searches for the secrets hidden inside numbers — and for someone who understands him — in this gorgeous picture-book biography. A mango . . . is just one thing. But if I chop it in two, then chop the half in two, and keep on chopping, I get more and more bits, on and on, endlessly, to an infinity I could never ever reach. In 1887 in India, a boy named Ramanujan is born with a passion for numbers. He sees numbers in the squares of light pricking his thatched roof and in the beasts dancing on the temple tower. He writes mathematics with his finger in the sand, across the pages of his notebooks, and with chalk on the temple floor. “What is small?” he wonders. “What is big?” Head in the clouds, Ramanujan struggles in school — but his mother knows that her son and his ideas have a purpose. As he grows up, Ramanujan reinvents much of modern mathematics, but where in the world could he find someone to understand what he has conceived? Author Amy Alznauer gently introduces young readers to math concepts while Daniel Miyares’s illustrations bring the wonder of Ramanujan’s world to life in the inspiring real-life story of a boy who changed mathematics and science forever. Back matter includes a bibliography and an author’s note recounting more of Ramanujan’s life and accomplishments, as well as the author’s father’s remarkable discovery of Ramanujan’s Lost Notebook.



Ramanujan's Lost Notebook

Author : George E. Andrews

Publisher : Springer Science & Business Media

Page : 460 pages

File Size : 44,98 MB

Release : 2005-05-06

Category : Biography & Autobiography

ISBN : 9780387255293

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Book Description

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. In this book, the notebook is presented with additional material and expert commentary.