Ramanujan S Place In The World Of Mathematics

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Ramanujan's Place in the World of Mathematics

Krishnaswami Alladi
Ramanujan s Place in the World of Mathematics Book PDF

Author : Krishnaswami Alladi
Publisher : Springer Nature
Page : 265 pages
File Size : 52,5 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.

Number Theory and Discrete Mathematics

A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt
Number Theory and Discrete Mathematics Book PDF

Author : A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt
Publisher : Birkhäuser
Page : 314 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882231

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Number Theory and Discrete Mathematics by A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt Pdf

To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 2-6, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K. N. Pathak, Hon. Vice-Chancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, Urbana Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujan--as one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5-day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: • M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values. • C.

My Search for Ramanujan

Ken Ono,Amir D. Aczel
My Search for Ramanujan Book PDF

Author : Ken Ono,Amir D. Aczel
Publisher : Springer
Page : 238 pages
File Size : 49,6 Mb
Release : 2016-04-20
Category : Mathematics
ISBN : 9783319255682

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My Search for Ramanujan by Ken Ono,Amir D. Aczel Pdf

"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."

Mathematics Wizard Srinivasa Ramanujan

Narendra Govil And Bhu Dev Sharma
Mathematics Wizard Srinivasa Ramanujan Book PDF

Author : Narendra Govil And Bhu Dev Sharma
Publisher : Prabhat Prakashan
Page : 232 pages
File Size : 44,6 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.

The Mathematical Legacy of Srinivasa Ramanujan

M. Ram Murty,V. Kumar Murty
The Mathematical Legacy of Srinivasa Ramanujan Book PDF

Author : M. Ram Murty,V. Kumar Murty
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 48,8 Mb
Release : 2012-10-06
Category : Mathematics
ISBN : 9788132207696

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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.

Ramanujan

Srinivasa Ramanujan Aiyangar
Ramanujan Book PDF

Author : Srinivasa Ramanujan Aiyangar
Publisher : American Mathematical Soc.
Page : 366 pages
File Size : 53,7 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.

Unfolding Consciousness

Edi Bilimoria
Unfolding Consciousness Book PDF

Author : Edi Bilimoria
Publisher : Shepard-Walwyn (IPG)
Page : 1433 pages
File Size : 45,6 Mb
Release : 2024-03-11
Category : Philosophy
ISBN : 9781916517059

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Unfolding Consciousness by Edi Bilimoria Pdf

Exploring the Living Universe and Intelligent Powers in Nature and Humans, author Edi Bilimoria heralds the new science of consciousness and offers the readers a roadmap and necessary tools to achieve future growth. Presented in three volumes, plus volume IV contains references, resources & further reading, they reveal the unity of the Eastern and Western branches of our perineal wisdom. Bilimoria shows how science seeks truth using a synthesis of both traditions. Evidence from a wide range of sources— scientific, medical, philosophical, religious, and cultural— is put forward to argue the case that humans are spiritual beings, primarily, and not merely complicated biological machines. Bilimoria teaches that consciousness is not the product of matter but the primary &‘ element' from which all else emanates. This process and its underlying mechanisms are described in detail with much clarity. This work has over 2000 references and is supported by copious tables and diagrams, plus individual chapter summaries and sidenotes to assist readers in navigating the multidimensional terrain traversed.Key areas - The scientific and esoteric worldviews compared and contrasted - The ultimate promise of science - The &‘ soft' and &‘ hard' problems of consciousness: How external input to the physical senses results in an internal, subjective experience - Quantum physics: its contribution to a new scientific paradigm - The Mystery Teachings of All Ages: their worldwide unity and central message - &‘ Wet computers' and computers: Is the brain no different, in principle, from a computer? - Death and after: the transition and continuity of consciousness in other realms - Paranormal phenomena and apparitions - Subtle bodies - Evolution and destiny - Powers latent in human beings - Divinity and the united message of all world religions - The question of immortality - The primacy of consciousness and the manner of its unfoldment from the unmanifest realms to the physical world Edi Bilimoria' s guest appearance on the Shepheard-Walwyn podcast series can be found on this link. https://shepheardwalwyn.com/edi-bilimoria-unfolding-consciousness-why-sapolsky-is-wrong-and-how-to-get-in-tune-with-life/

Ramanujan: Essays and Surveys

Bruce C. Berndt
Ramanujan Essays and Surveys Book PDF

Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 42,5 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.

50 Greatest Mathematicians of the World

Rajesh Thakur
50 Greatest Mathematicians of the World Book PDF

Author : Rajesh Thakur
Publisher : Prabhat Prakashan
Page : 199 pages
File Size : 54,5 Mb
Release : 2013-10-07
Category : Biography & Autobiography
ISBN : 9788184302158

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50 Greatest Mathematicians of the World by Rajesh Thakur Pdf

Mathematics is considered the most dreaded subject. However it is extremely interesting and one should read about it. Had this subject not been interesting then some of the great physicist, doctors, lawyers, poets, story writers, etc., in their later life would not have turned to study it and made great discoveries in the field of mathematics. While mathematics itself may be a form idable subject for many, the lives and accomplishments of history’s greatest mathematicians are fascinating. This book is intended for people interested to know the heroic journey of those great mathematicians who have made important contribution to mathematics, through their ideaes, teaching or in other ways. The main emphasis is on their work and achievement in the field of mathematics. I hope this book will serve adual purpose: firstly help students realize mathematics is not to be dreaded but helpful in achieving in other subjects; secondly help those who hate the subject respect it. Embark on a journey through the fascinating world of mathematics and discover the lives and contributions of the 50 greatest mathematicians in history. Rajesh Thakur's illuminating book celebrates the brilliance and impact of these mathematical geniuses, offering a captivating blend of biography and mathematical insights. 50 Greatest Mathematicians of the World, Rajesh Thakur, mathematical genius, mathematicians, mathematical contributions, mathematical breakthroughs, mathematical theories, mathematical history, mathematical achievements, mathematical concepts, mathematical discoveries, mathematical geniuses, mathematical principles, mathematical innovations, mathematical pioneers, mathematical influence, mathematical legacy, mathematical revolution, mathematical brilliance

Great Scientist in The World-1

Manoj Dole
Great Scientist in The World 1 Book PDF

Author : Manoj Dole
Publisher : Manoj Dole
Page : 269 pages
File Size : 51,6 Mb
Release : 2024-06-20
Category : Technology & Engineering
ISBN : 8210379456XXX

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Great Scientist in The World-1 by Manoj Dole Pdf

Planning to study science but feeling unsure about it ? We've got the perfect book for you! If you want to be an innovator , you must read about great scientists from around the world and get inspired by their work! Scientists are one of the main reasons that society has evolved to its current state. The efforts of some great scientists have contributed to the modernization of the world. Famous scientists like Isaac Newton and Galileo Galilei set an example for modern scientists. But there's a lot we don't know about it , and we're about to know all about it. So if you too are a science lover and dream of changing the world with your inventions , then read on and start creating! Scientists around the world have contributed to the development of medicine , physics , chemistry, and technology, among other important aspects of society. As a budding scientist , you can either adopt a theoretical approach or a practical approach. Both these methods are equally important in this field. In addition , research and development is necessary in all fields of scientific study , even for industrial purposes . So we understand the importance of scientists , let's take a look at some of the most brilliant minds and their contributions! Finally , you can even leave a comment to let us know how many of them you already know! Scientists of all fields are very important for the progress of the society. Some have completely changed the way the scientific community views science. So let's look at the world's famous greatest scientists.

S. Ramanujan

Dilip M. Salwi
S Ramanujan Book PDF

Author : Dilip M. Salwi
Publisher : books catalog
Page : 72 pages
File Size : 42,7 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.

Research Schools on Number Theory in India

Purabi Mukherji
Research Schools on Number Theory in India Book PDF

Author : Purabi Mukherji
Publisher : Springer Nature
Page : 187 pages
File Size : 47,7 Mb
Release : 2021-01-05
Category : Mathematics
ISBN : 9789811596209

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Research Schools on Number Theory in India by Purabi Mukherji Pdf

This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab, Mumbai, Bengal, and Bihar—including the establishment of Tata Institute of Fundamental Research (TIFR), Mumbai, a landmark event in the history of research of number theory in India. Research on number theory in India during modern times started with the advent of the iconic genius Srinivasa Ramanujan, inspiring mathematicians around the world. This book discusses the national and international impact of the research made by Indian number theorists. It also includes a carefully compiled, comprehensive bibliography of major 20th century Indian number theorists making this book important from the standpoint of historic documentation and a valuable resource for researchers of the field for their literature survey. This book also briefly discusses the importance of number theory in the modern world of mathematics, including applications of the results developed by indigenous number theorists in practical fields. Since the book is written from the viewpoint of the history of science, technical jargon and mathematical expressions have been avoided as much as possible.

Srinivasa Ramanujan

K. Srinivasa Rao
Srinivasa Ramanujan Book PDF

Author : K. Srinivasa Rao
Publisher : Springer Nature
Page : 299 pages
File Size : 51,8 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.

Development of Elliptic Functions According to Ramanujan

Shaun Cooper
Development of Elliptic Functions According to Ramanujan Book PDF

Author : Shaun Cooper
Publisher : World Scientific
Page : 185 pages
File Size : 54,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814366465

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Development of Elliptic Functions According to Ramanujan by Shaun Cooper Pdf

This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter. The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan''s work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.

Collected Papers of Srinivasa Ramanujan

Srinivasa Ramanujan
Collected Papers of Srinivasa Ramanujan Book PDF

Author : Srinivasa Ramanujan
Publisher : Cambridge University Press
Page : 393 pages
File Size : 50,6 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.