Srinivasa Ramanujan: His Life, Legacy, and Mathematical Influence

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Publisher : Springer
ISBN 13 : 9783031501463
Total Pages : 0 pages
Book Rating : 4.5/5 (14 download)

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Book Synopsis Srinivasa Ramanujan: His Life, Legacy, and Mathematical Influence by : Krishnaswami Alladi

Download or read book Srinivasa Ramanujan: His Life, Legacy, and Mathematical Influence written by Krishnaswami Alladi and published by Springer. This book was released on 2024-04-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer Science & Business Media
ISBN 13 : 8132207696
Total Pages : 185 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis The Mathematical Legacy of Srinivasa Ramanujan by : M. Ram Murty

Download or read book The Mathematical Legacy of Srinivasa Ramanujan written by M. Ram Murty and published by Springer Science & Business Media. This book was released on 2012-10-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer
ISBN 13 : 3319255681
Total Pages : 235 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis My Search for Ramanujan by : Ken Ono

Download or read book My Search for Ramanujan written by Ken Ono and published by Springer. This book was released on 2016-04-20 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

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Author :
Publisher : Springer Nature
ISBN 13 : 9811604479
Total Pages : 299 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Srinivasa Ramanujan by : K. Srinivasa Rao

Download or read book Srinivasa Ramanujan written by K. Srinivasa Rao and published by Springer Nature. This book was released on 2021-05-30 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Synopsis of Elementary Results in Pure and Applied Mathematics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.R/5 (6 download)

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Book Synopsis A Synopsis of Elementary Results in Pure and Applied Mathematics by : George Shoobridge Carr

Download or read book A Synopsis of Elementary Results in Pure and Applied Mathematics written by George Shoobridge Carr and published by . This book was released on 1880 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Man Who Knew Infinity

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Publisher : Simon and Schuster
ISBN 13 : 1476763496
Total Pages : 464 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis The Man Who Knew Infinity by : Robert Kanigel

Download or read book The Man Who Knew Infinity written by Robert Kanigel and published by Simon and Schuster. This book was released on 2016-04-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ramanujan's Place in the World of Mathematics

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Publisher : Springer Nature
ISBN 13 : 9811562415
Total Pages : 265 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Ramanujan's Place in the World of Mathematics by : Krishnaswami Alladi

Download or read book Ramanujan's Place in the World of Mathematics written by Krishnaswami Alladi and published by Springer Nature. This book was released on 2021-09-17 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Collected Papers of Srinivasa Ramanujan

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Publisher : Cambridge University Press
ISBN 13 : 1107536510
Total Pages : 393 pages
Book Rating : 4.1/5 (75 download)

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Book Synopsis Collected Papers of Srinivasa Ramanujan by : Srinivasa Ramanujan

Download or read book Collected Papers of Srinivasa Ramanujan written by Srinivasa Ramanujan and published by Cambridge University Press. This book was released on 2015-12-03 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Srinivas Ramanujam

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Publisher : Prabhat Prakashan
ISBN 13 : 9788184300161
Total Pages : 28 pages
Book Rating : 4.3/5 (1 download)

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Book Synopsis Srinivas Ramanujam by : Sanjay Goyal

Download or read book Srinivas Ramanujam written by Sanjay Goyal and published by Prabhat Prakashan. This book was released on 2009-01-01 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ramanujan's Lost Notebook

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387255293
Total Pages : 460 pages
Book Rating : 4.2/5 (552 download)

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Book Synopsis Ramanujan's Lost Notebook by : George E. Andrews

Download or read book Ramanujan's Lost Notebook written by George E. Andrews and published by Springer Science & Business Media. This book was released on 2005-05-06 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Srinivasa Ramanujan

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Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Srinivasa Ramanujan by : K. Srinivasa Rao

Download or read book Srinivasa Ramanujan written by K. Srinivasa Rao and published by . This book was released on 2004 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biography of Srinivasa Ramanujan Aiyangar, 1887-1920, mathematician from India.

Ramanujan's Notebooks

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Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Ramanujan's Notebooks by : Srinivasa Ramanujan Aiyangar

Download or read book Ramanujan's Notebooks written by Srinivasa Ramanujan Aiyangar and published by . This book was released on 1985 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Author :
Publisher : Candlewick
ISBN 13 : 0763690481
Total Pages : 49 pages
Book Rating : 4.7/5 (636 download)

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Book Synopsis The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan by : Amy Alznauer

Download or read book The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan written by Amy Alznauer and published by Candlewick. This book was released on 2020-04-14 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Place in the World of Mathematics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 813220767X
Total Pages : 179 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Ramanujan's Place in the World of Mathematics by : Krishnaswami Alladi

Download or read book Ramanujan's Place in the World of Mathematics written by Krishnaswami Alladi and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 throughout the 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 and of the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. In the book, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, 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.

Mathematics Wizard Srinivasa Ramanujan

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Publisher : Prabhat Prakashan
ISBN 13 : 9390366739
Total Pages : 232 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Mathematics Wizard Srinivasa Ramanujan by : Narendra Govil And Bhu Dev Sharma

Download or read book Mathematics Wizard Srinivasa Ramanujan written by Narendra Govil And Bhu Dev Sharma and published by Prabhat Prakashan. This book was released on 2021-03-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Activity and Sign

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Publisher : Springer Science & Business Media
ISBN 13 : 0387242708
Total Pages : 383 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Activity and Sign by : Michael H.G. Hoffmann

Download or read book Activity and Sign written by Michael H.G. Hoffmann and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future. This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.

Time‒Frequency and Time‒Scale Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644318
Total Pages : 403 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Time‒Frequency and Time‒Scale Methods by : Jeffrey A. Hogan

Download or read book Time‒Frequency and Time‒Scale Methods written by Jeffrey A. Hogan and published by Springer Science & Business Media. This book was released on 2007-12-21 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of these areas are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work. "Foundations of Time-Frequency and Time-Scale Methods" will be suitable for applied mathematicians and engineers in signal/image processing and communication theory, as well as researchers and students in mathematical analysis, signal analysis, and mathematical physics.