Download or read book Ramanujan and Ancient Indian Mathematicians written by Swapan Banerjee and published by . This book was released on 2019-08-18 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Brief Biography of Ramanujan, origin of numerals and brief biographies of ancient Indian Mathematicians.
Download or read book Indian Mathematics Engaging With The World From Ancient To Modern Times written by George Gheverghese Joseph and published by World Scientific. This book was released on 2016-07-28 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders.Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.
Download or read book Ramanujan written by Srinivasa Ramanujan Aiyangar and published by American Mathematical Soc.. This book was released on 1995-09-07 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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:
Download or read book Expounding the Mathematical Seed Vol 1 The Translation written by Agathe Keller and published by Springer Science & Business Media. This book was released on 2006-06-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. This volume is a literal English translation of Bhaskara’s commentary complete with an introduction.
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."
Download or read book Contributions to the History of Indian Mathematics written by Gerard G. Emch and published by Springer. This book was released on 2005-10-15 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of articles based on lectures given by scholars from India, Europe and USA at the sessions on 'History of Indian Mathematics' at the AMS-India mathematics conference in Bangalore during December 2003. These articles cover a wide spectrum of themes in Indian mathematics. They begin with the mathematics of the ancient period dealing with Vedic Prosody and Buddhist Logic, move on to the work of Brahmagupta, of Bhaskara, and that of the mathematicians of the Kerala school of the classical and medieval period, and end with the work of Ramanaujan, and Indian contributions to Quantum Statistics during the modern era. The volume should be of value to those interested in the history of mathematics.
Download or read book Ramanujan written by Godfrey Harold Hardy and published by American Mathematical Soc.. This book was released on 1999-01-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Another excellent book long out of print but much in demand. This book is pulled together by Ramanujan's primary mentor, G. H. Hardy, who was the first to recognize the amazing nature of Ramanujan's ideas. Another exceptional classic from the Chelsea list.
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.
Download or read book Sources in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2011-06-13 with total page 1139 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.
Download or read book Studies in the History of Indian Mathematics written by C. S. Seshadri and published by Springer. This book was released on 2010-08-15 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) combinatorial methods in Indian music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the development of calculus in India (covering the millennium-long history of discoveries culminating in the work of the Kerala school giving a complete analysis of the basic calculus of polynomial and trigonometrical functions); (7) recursive methods in Indian mathematics (going back to Paoini's grammar and culminating in the recursive proofs found in the Malayalam text Yuktibhaua (1530 CE)); and (8) planetary and lunar models developed by the Kerala School of Astronomy. The articles in this volume cover a substantial portion of the history of Indian mathematics and astronomy. This book will serve the dual purpose of bringing to the international community a better perspective of the mathematical heritage of India and conveying the message that much work remains to be done, namely the study of many unexplored manuscripts still available in libraries in India and abroad.
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.
Download or read book Indian Mathematics an Introduction written by Ashok Jhunjhunwala and published by New Age International. This book was released on 1993 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Taps The Mathematical Traditions Of India For Some Simple And Elegant Methods Of Performing Arithmetic Calculations. There Are Techniques For Multiplication, Division, Squaring, Square-Rooting And Factorisation That, Once Mastered, Are Faster Than The Conventional Approaches Currently In Wide Use. Errors Arising Out Of Carelessness In Calculation Were Apparently A Problem Faced By Our Ancestors Too! They Devised An Amazingly Simple Technique To Catch Such Errors. These Techniques Are Presented In This Book In A Lucid Manner, With A Large Number Of Examples To Illustrate The Basic Ideas And Elaborate On Their Variations. The Use Of Sanskrit Terms Has Been Minimised. Most Of The Methods Described Are General And Work For All Numbers, Not Just For Special Cases. The Mixed-Number, Or Mishrank, Which Contains Both Positive And Negative Digits, Is Extremely Useful In Simplifying Calculations And Is Widely Used In This Book. The Reader Will Find That Ideas Such As These Can Be Effectively Grafted To The Conventional Methods.The Book Will Interest A Wide Audience. Students Will Benefit The Most, Since They Can Easily Make The Methods Of This Book Their Own. They Will Soon Find That Much Of Their Arithmetic Can Be Performed Orally. Adults Will Find It A Pleasure To Discover New And Elegant Ways Of Doing Things They Already Know. The Computer Enthusiast May Find Hidden In The Simple Methods Ideas To Speed-Up Machine Computation. Finally, The Mathematically-Inclined May Find Their Curiosity Sufficiently Aroused To Go Beyond This Book And Delve Deeper Into The Indian Mathematical Legacy.
Download or read book Struck by Genius written by Jason Padgett and published by HMH. This book was released on 2014-04-22 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: From head trauma to scientific wonder—a “deeply absorbing . . . fascinating” true story of acquired savant syndrome (Entertainment Weekly). Twelve years ago, Jason Padgett had never made it past pre-algebra. But a violent mugging forever altered the way his brain worked. It turned an ordinary math-averse student into an extraordinary young man with a unique gift to see the world as no one else does: water pours from the faucet in crystalline patterns, numbers call to mind distinct geometric shapes, and intricate fractal patterns emerge from the movement of tree branches, revealing the intrinsic mathematical designs hidden in the objects around us. As his ability to understand physics skyrocketed, the “accidental genius” developed the astonishing ability to draw the complex geometric shapes he saw everywhere. Overcoming huge setbacks and embracing his new mind, Padgett “gained a vision of the world that is as beautiful as it is challenging.” Along the way he fell in love, found joy in numbers, and spent plenty of time having his head examined (The New York Times Book Review). Illustrated with Jason’s stunning, mathematically precise artwork, his singular story reveals the wondrous potential of the human brain, and “an incredible phenomenon which points toward dormant potential—a little Rain Man perhaps—within us all” (Darold A. Treffert, MD, author of Islands of Genius: The Bountiful Mind of the Autistic, Acquired, and Sudden Savant). “A tale worthy of Ripley’s Believe It or Not! . . . This memoir sends a hopeful message to families touched by brain injury, autism, or neurological damage from strokes.” —Booklist “How extraordinary it is to contemplate the bizarre gifts that might lie within all of us.” —People
Download or read book Mathematics in India written by Kim Plofker and published by Princeton University Press. This book was released on 2009-01-18 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).
Download or read book L l vat of Bh skar c rya written by Bhāskarācārya and published by Motilal Banarsidass Publ.. This book was released on 2001 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1150 AD, Bhaskaracarya (b. 1114 AD), renowned mathematician and astronomer of Vedic tradition composed Lilavati as the first part of his larger work called Siddhanta Siromani, a comprehensive exposition of arithmetic, algebra, geometry, mensuration, number theory and related topics. Lilavati has been used as a standard textbook for about 800 years. This lucid, scholarly and literary presentation has been translated into several languages of the world. Bhaskaracarya himself never gave any derivations of his formulae. N.H. Phadke (1902-1973) worked hard to construct proofs of several mathematical methods and formulae given in original Lilavati. The present work is an enlargement of his Marathi work and attempts a thorough mathematical explanation of definitions, formulae, short cuts and methodology as intended by Bhaskara. Stitches are followed by literal translations so that the reader can enjoy and appreciate the beauty of accurate and musical presentation in Lilavati. The book is useful to school going children, sophomores, teachers, scholars, historians and those working for cause of mathematics.
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:
