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| the mathematical legacy of srinivasa ramanujan: The Mathematical Legacy of Srinivasa Ramanujan M. Ram Murty, V. Kumar Murty, 2014-11-09 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. |
| the mathematical legacy of srinivasa ramanujan: The Mathematical Legacy of Srinivasa Ramanujan M. Ram Murty, V. Kumar Murty, 2012-10-06 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. |
| the mathematical legacy of srinivasa ramanujan: The Legacy of Alladi Ramakrishnan in the Mathematical Sciences Krishnaswami Alladi, John R. Klauder, Calyampudi R. Rao, 2010-08-26 Alladi Ramakrishnan (1923–2008) was an eminent scientist who had a wide range of research interests in theoretical and mathematical physics. Professor Ramakrishnan made signi?cant contributions to probability and statistics, elem- tary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of relativity. Ramakrishnan believedstrongly that in addition to doing fun- mental research, one must contribute to the advancementof the profession. Inspired by his visit to the Institute for Advanced Study in Princeton in 1957–1958, he returned to Madras and began the Theoretical Physics Seminar at his family home Ekamra Nivas. These seminars were ultimately responsible for the creation of MATSCIENCE, The Institute of Mathematical Sciences in 1962. This institute, of which he was the Director for its ?rst 21years, has grown steadily in size and stature, and is his monumental contribution to the profession. In a distinguished scienti?c life that has spanned more than ?ve decades, Professor Ramakrishnan has come into close contact with, and was in?uenced by, several eminent mathema- cians and physicists, and has moulded the careers of his several students and young researchers. This volume, which is a tribute to his great legacy, not only deals with his signi?cant contributions to research and the profession, but also contains a ?ne collection of research and survey papers by leading physicists and mathematicians that cover a broad range of areas in the mathematical sciences. |
| the mathematical legacy of srinivasa ramanujan: My Search for Ramanujan Ken Ono, Amir D. Aczel, 2016-04-20 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. |
| the mathematical legacy of srinivasa ramanujan: Non-vanishing of L-Functions and Applications M. Ram Murty, V. Kumar Murty, 2012-01-03 This volume develops methods for proving the non-vanishing of certain L-functions at points in the critical strip. It begins at a very basic level and continues to develop, providing readers with a theoretical foundation that allows them to understand the latest discoveries in the field. |
| the mathematical legacy of srinivasa ramanujan: A Synopsis of Elementary Results in Pure and Applied Mathematics George Shoobridge Carr, 1880 |
| the mathematical legacy of srinivasa ramanujan: Ramanujan's Notebooks Srinivasa Ramanujan Aiyangar, 1985 |
| the mathematical legacy of srinivasa ramanujan: The Rademacher Legacy to Mathematics George E. Andrews, David M. Bressoud, L. Alayne Parson, 1994 This book contains papers presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented in this volume. The papers collected here range over such topics as modular forms, partitions and q$ series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a remarkable mathematician whose work continues to influence mathematics today. |
| the mathematical legacy of srinivasa ramanujan: The Indian Clerk David Leavitt, 2009-08-17 The extraordinary true story of the discovery of one of history's greatest mathematicians in rural India. His life is the subject of the major film The Man Who Knew Infinity 'Excellent ... His Hardy is a superb creation' Sunday Telegraph 'A loving exploration of one of the greatest collaborations of the past century, The Indian Clerk is a novel that brilliantly orchestrates questions of colonialism, sexual identity and the nature of genius' Manil Suri January, 1913, Cambridge. G.H. Hardy - eccentric, charismatic and considered the greatest British mathematician of his age - receives a mysterious envelope covered with Indian stamps. Inside he finds a rambling letter from a self-professed mathematical genius who claims to be on the brink of solving the most important mathematical problem of his time. Hardy determines to learn more about this mysterious Indian clerk, Srinivasa Ramanujan, a decision that will profoundly affect not only his own life, and that of his friends, but the entire history of mathematics. Set against the backdrop of the First World War, and populated with such luminaries as D.H. Lawrence and Bertrand Russell, The Indian Clerk fashions from this fascinating period an utterly compelling story about our need to find order in the world. In 2016 a film, The Man Who Knew Infinity, inspired by the same life on which this book is based, was released, starring Dev Patel and Jeremy Irons. |
| the mathematical legacy of srinivasa ramanujan: Collected Papers of Srinivasa Ramanujan Srinivasa Ramanujan, 2015-12-03 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 mathematical legacy of srinivasa ramanujan: The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan Amy Alznauer, 2020-04-14 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. |
| the mathematical legacy of srinivasa ramanujan: Ramanujan Srinivasa Ramanujan Aiyangar, 1995-09-07 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: Srinivasa Ramanujan K. Srinivasa Rao, 2021-05-30 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. |
| the mathematical legacy of srinivasa ramanujan: Number Theory in the Spirit of Ramanujan Bruce C. Berndt, 2006 Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory. |
| the mathematical legacy of srinivasa ramanujan: Srinivasa Ramanujan K. Srinivasa Rao, 2004 Biography of Srinivasa Ramanujan Aiyangar, 1887-1920, mathematician from India. |
| the mathematical legacy of srinivasa ramanujan: The Girl who Played with Fire Stieg Larsson, 2010 When the reporters to a sex-trafficking exposé are murdered and computer hacker Lisbeth Salander is targeted as the killer, Mikael Blomkvist, the publisher of the exposé, investigates to clear Lisbeth's name. |
| the mathematical legacy of srinivasa ramanujan: The Legacy of Leonhard Euler Lokenath Debnath, 2010 This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler''s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler''s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author''s historically motivated method of teaching, special attention is given to demonstrate that Euler''s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler''s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research. Erratum. Sample Chapter(s). Chapter 1: Mathematics Before Leonhard Euler (434 KB). Contents: Mathematics Before Leonhard Euler; Brief Biographical Sketch and Career of Leonhard Euler; Euler''s Contributions to Number Theory and Algebra; Euler''s Contributions to Geometry and Spherical Trigonometry; Euler''s Formula for Polyhedra, Topology and Graph Theory; Euler''s Contributions to Calculus and Analysis; Euler''s Contributions to the Infinite Series and the Zeta Function; Euler''s Beta and Gamma Functions and Infinite Products; Euler and Differential Equations; The Euler Equations of Motion in Fluid Mechanics; Euler''s Contributions to Mechanics and Elasticity; Euler''s Work on the Probability Theory; Euler''s Contributions to Ballistics; Euler and His Work on Astronomy and Physics. Readership: Undergraduate and graduate students of mathematics, mathematics education, physics, engineering and science. As well as professionals and prospective mathematical scientists. |
| the mathematical legacy of srinivasa ramanujan: Proofs from THE BOOK Martin Aigner, Günter M. Ziegler, 2013-04-17 The (mathematical) heroes of this book are perfect proofs: brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erdös, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added. |
| the mathematical legacy of srinivasa ramanujan: Ramanujan's Lost Notebook George E. Andrews, Bruce C. Berndt, 2005-05-06 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. |
| the mathematical legacy of srinivasa ramanujan: Mathemagics Arthur Benjamin, Michael Shermer, 1998 Using proven techniques, this volume shows how to add, subtract, multiply and divide faster than is possible with a calculator or pencil and paper, and helps readers conquer their nervousness about math. |
| the mathematical legacy of srinivasa ramanujan: Fermat's last theorem Simon Singh, John Lynch, scénariste, 1997 |
| the mathematical legacy of srinivasa ramanujan: Srinivasa Ramanujan: His Life, Legacy, and Mathematical Influence Krishnaswami Alladi, George E. Andrews, Bruce C. Berndt, Frank Garvan, Ken Ono, Peter Paule, S. Ole Warnaar, Ae Ja Yee, 2024-04-16 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: The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions William Abikoff, Joan S. Birman, Kathryn Kuiken, 1994 Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University, Brooklyn to honour the memory of Magnus. The focus of the book is on active areas of research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics. |
| the mathematical legacy of srinivasa ramanujan: Ramanujan Quiz Book Rajesh Thakur, 2021-01-19 Dive into the fascinating world of mathematics with the Ramanujan Quiz Book by Rajesh Thakur, an engaging and enlightening exploration of the life and work of the legendary mathematician Srinivasa Ramanujan. Join author Rajesh Thakur on a journey of discovery as he presents a captivating collection of quizzes and trivia questions that delve into the genius and contributions of Srinivasa Ramanujan. Whether you're a mathematics enthusiast, a student, or simply curious about the life of this extraordinary mathematician, this quiz book offers a fun and educational way to learn more about Ramanujan's groundbreaking work. Test your knowledge and challenge yourself with quizzes that cover a wide range of topics, from Ramanujan's early life and education to his groundbreaking mathematical theorems and discoveries. With each question, you'll gain a deeper understanding of Ramanujan's brilliance and the impact of his work on the field of mathematics. As you work your way through the quizzes, you'll uncover fascinating facts and insights about Ramanujan's life, his unique mathematical intuition, and his enduring legacy. From his famous collaborations with mathematicians like G.H. Hardy to his groundbreaking contributions to number theory and infinite series, Ramanujan's work continues to inspire and amaze mathematicians around the world. Whether you're looking to test your knowledge, learn something new, or simply enjoy a fun and engaging quiz book, Ramanujan Quiz Book is the perfect choice. Join Rajesh Thakur on a journey of exploration and discovery as you uncover the fascinating story of Srinivasa Ramanujan, one of the greatest mathematicians of all time. Don't miss your chance to test your knowledge and learn more about the life and work of Srinivasa Ramanujan. Grab your copy of Ramanujan Quiz Book by Rajesh Thakur today and embark on a journey of mathematical discovery and enlightenment. |
| the mathematical legacy of srinivasa ramanujan: Loving and Hating Mathematics Reuben Hersh, Vera John-Steiner, 2010-12-13 An exploration of the hidden human, emotional, and social dimensions of mathematics Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions—and inspire more love and hatred—than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a young man's game, the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment—as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional. |
| the mathematical legacy of srinivasa ramanujan: A Disappearing Number Simon McBurney (Theatre Complicite), 2012-06-21 A Disappearing Number takes as its starting point the story of one of the most mysterious and romantic mathematical collaborations of all time. Simultaneously a narrative and an enquiry, the production crosses three continents and several histories, to weave a provocative theatrical pattern about our relentless compulsion to understand. A man mourns the loss of his lover, a mathematician mourns her own fate. A businessman travels from Los Angeles to Chennai pursuing the future; a physicist in CERN looks for it too. The mathematician G.H. Hardy seeks to comprehend the ideas of the genius Srinivasa Ramanujan in the chilly English surroundings of Cambridge during the First World War. Ramanujan looks to create some of the most complex mathematical patterns of all time. Threaded through this pattern of stories and ideas are questions. About mathematics and beauty; imagination and the nature of infinity; about what is continuous and what is permanent; how we are attached to the past and how we affect the future; how we create and how we love. The book features an essay by Marcus du Sautoy, Professor of Mathematics at Wadham College, Oxford, and an introduction by Simon McBurney. The Complicité production was an astonishing success during its run at the Barbican, London in Spring 2007, winning The Evening Standard's Best New Play Award 2007. Called ' Mesmerizing' by the New York Times, 'A Disappearing Number' is a brilliant play, aided with original music composed by the award winning DJ, producer and writer Nitin Sawhney. 'A Disappearing Number' was revived at the Novello Theatre, London in autumn 2010. |
| the mathematical legacy of srinivasa ramanujan: Development of Elliptic Functions According to Ramanujan K. Venkatachaliengar, Shaun Cooper, 2012 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. |
| the mathematical legacy of srinivasa ramanujan: Ramanujan Godfrey Harold Hardy, 1940 |
| the mathematical legacy of srinivasa ramanujan: The Great Indian Mathematicians Gaurav Tekriwal, 2021-09-27 India's mathematicians have made significant contributions over the last 5000 years. From the ever-popular Aryabhata, widely recognized for revolutionizing the number system and Shakuntala Devi, universally admired for her fast mental calculations to pioneers forgotten by time, like Baudhayana, who explained the Pythagoras' theorem nearly 3000 years ago, the figures included in this book are trailblazers in the world of mathematics. Fresh, accessible and inspiring, The Great Indian Mathematicians celebrates persistent mathematicians throughout Indian history. This book is an ideal introduction for the next generation of tenacious and curious maths wizards, and features a goldmine of tips and tricks, nuggets of surprise and much more! |
| the mathematical legacy of srinivasa ramanujan: The Journal of the Indian Mathematical Society , 1913 |
| the mathematical legacy of srinivasa ramanujan: Genius at Play Siobhan Roberts, 2024-10-29 A multifaceted biography of a brilliant mathematician and iconoclast A mathematician unlike any other, John Horton Conway (1937–2020) possessed a rock star’s charisma, a polymath’s promiscuous curiosity, and a sly sense of humor. Conway found fame as a barefoot professor at Cambridge, where he discovered the Conway groups in mathematical symmetry and the aptly named surreal numbers. He also invented the cult classic Game of Life, a cellular automaton that demonstrates how simplicity generates complexity—and provides an analogy for mathematics and the entire universe. Moving to Princeton in 1987, Conway used ropes, dice, pennies, coat hangers, and the occasional Slinky to illustrate his winning imagination and share his nerdish delights. Genius at Play tells the story of this ambassador-at-large for the beauties and joys of mathematics, lays bare Conway’s personal and professional idiosyncrasies, and offers an intimate look into the mind of one of the twentieth century’s most endearing and original intellectuals. |
| the mathematical legacy of srinivasa ramanujan: Srinivasa Ramanujan (Amar Chitra Katha) Shalini Srinivasan , 2012 When Srinivasa Ramanujan was born in the small town of Kumbakonam in 1887, his parents did not suspect that he would grow up to be one of the most extraordinary people in the world. In fact, he was such a quiet child that they worried he would never speak. But Ramanujan's grandfather taught him to read, the little boy rapidly discovered a delight in learning, especially in mathematics. It was a delight that would shape his life and that of everyone he met. Ramanujan's short life was one of extremes, of shining mental exuberance and great poverty, of unrelenting hard work and of equally unrelenting illness. But his genius, his sheer enthusiasm and his fervor for mathematics never dimmed and his legacy lives on. |
| the mathematical legacy of srinivasa ramanujan: The Crest of the Peacock George Gheverghese Joseph, 1992 |
| the mathematical legacy of srinivasa ramanujan: The Mathematics of India P. P. Divakaran, 2018-09-19 This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts. |
| the mathematical legacy of srinivasa ramanujan: The Lost Notebook and Other Unpublished Papers Srinivasa Ramanujan Aiyangar, 1988 The so-called Lost Notebook of S.R. Ramanujan was brought to light in 1976 as part of the Watson bequest, by G.E. Andrews with whose introduction this collection of unpublished manuscripts opens. A major portion of the Lost Notebook - really just 90 unpaginated sheets of work on q-series and other topics - is reproduced here in facsimile. Letters from Ramanujan to Hardy as well as various other sheets of seemingly related notes are then included, on topics including coefficients in the 1/q3 and 1/q2 problems and the mock theta functions. The next 180 pages consist of unpublished manuscripts of Ramanujan, including 28 pages from the 'Loose Papers` held in the Trinity College Library. Finally a number of interesting letters that were exchanged between Ramanujan, Littlewood, Hardy and Watson, with a bearing on Ramanujan's work are collected together here with other extracts and fragments. |
| the mathematical legacy of srinivasa ramanujan: Pi of Life Sunil Singh, 2017-07-27 Is the most important language in the universe also capable of making us happy in simple and profound ways? Can we really weave the foundations of lifelong joy—humility, gratitude, connection, etc.—through the apparent complexity of numbers? Have we oversold the practicality of mathematics, while ignoring its larger and more human purposes—happiness? In Pi of Life: The Hidden Happiness of Mathematics, Sunil Singh takes the readers on a unique adventure, discovering that all the elements that are essential for lifelong happiness are deeply intertwined with the magic of mathematics. Blending classic wisdom with over 100 pop culture references—music, television and film—Singh whimsically switches the lens in this book from the traditional society teaching math to a new and bold math teaching society. Written with charming buoyancy and intimacy, he takes us on an emotional and surprising journey through the deepest goldmine of mathematics—our personal happiness. |
| the mathematical legacy of srinivasa ramanujan: Number Theory and Discrete Mathematics A.K. Agarwal, Bruce C. Berndt, Christian F. Krattenthaler, Gary L. Mullen, K. Ramachandra, Michel Waldschmidt, 2012-12-06 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. |
| the mathematical legacy of srinivasa ramanujan: Leonardo Pisano (Fibonacci) L. E. Sigler, 2014-06-28 The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system. |
| the mathematical legacy of srinivasa ramanujan: Plane Trigonometry by S. L. Loney Sidney Luxton Loney, 2016-10-22 Plane trigonometry by S. L. Loney is an unchanged, high-quality reprint of the original edition of 1895. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres.As a publisher we focus on the preservation of historical literature.Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future. |
Mathematics - Wikipedia
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs …
Wolfram Mathematica: Modern Technical Computing
Mathematica is built to provide industrial-strength capabilities—with robust, efficient algorithms across …
Mathematics | Definition, History, & Importance | Brita…
Apr 30, 2025 · mathematics, the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing …
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May 22, 2025 · Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually …
MATHEMATICAL Definition & Meaning - Merriam-Webster
The meaning of MATHEMATICAL is of, relating to, or according with mathematics. How to use mathematical in a sentence.
Mathematics - Wikipedia
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are …
Wolfram Mathematica: Mod…
Mathematica is built to provide industrial-strength capabilities—with …
Mathematics | Definition, History, …
Apr 30, 2025 · mathematics, the science of structure, order, and relation that has evolved from elemental …
Wolfram MathWorld: The Web's Most Ex…
May 22, 2025 · Comprehensive encyclopedia of …
MATHEMATICAL Definition & Meanin…
The meaning of MATHEMATICAL is of, relating to, or according with mathematics. How to …
