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Ancient Indian Leaps into Mathematics by B.S. Yadav,Man Mohan Pdf
This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.
Ancient Indian Leaps into Mathematics by B.S. Yadav,Man Mohan Pdf
This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.
Author : T. S. Bhanu Murthy Publisher : New Age International Page : 230 pages File Size : 46,7 Mb Release : 1993 Category : Hindu mathematics ISBN : 8122403719
A Modern Introduction to Ancient Indian Mathematics by T. S. Bhanu Murthy Pdf
The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava.
Studies in the History of Indian Mathematics by C. S. Seshadri Pdf
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.
Indian Mathematics by George Gheverghese Joseph Pdf
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.
Aspects of Science and Technology in Ancient India by Arun Kumar Jha,Seema Sahay Pdf
This book critically examines different aspects of scientific and technological development in Ancient India. It studies the special contribution of the history of science in our scientific understanding and its relationship with the philosophy and sociology of science. The volume: Discusses diverse and wide-ranging themes including Tibetan Buddhist tradition of neuro-biology; Sheds light on the unique developments within iron technology and urbanization in ancient Odisha; Studies the trajectory of proto-historic astronomy in India and the science of monsoon in early India; Evaluates the legacy of Aryabhata based on his major works related to astronomy and mathematics through a multidimensional perspective; Analyses the traditional knowledge of medicine in early India, the golden age of surgery with reference to the ancient Greek and Arabic systems of medicine, and the Buddhist influence on the science of medicine in Tibet. This book will be an essential read for scholars and researchers of ancient history, Indian history, history of science, history of technology, science and technology studies, and South Asian studies.
Four Pearls from the Ocean of Ancient Indian Mathematics (Series 1: Mathematics in Ancient India) by Kalyan Gullapalli Pdf
About the Book: The underlying myths that most of us Indians have grown up with is that India was born in 1947! Before that, for centuries, we were a conquered land. And the period before that doesn't matter, because it is prehistory. Nothing is farther from the truth. It matters! It is said about Bharat – “Anything that can be done by man or god, has been done in this country!” Rediscovering Bharat is an attempt to reintroduce the reader to the glory of Bharat. Rediscovering Bharat is not just harping about our glorious past, though we have every right to harp about it! It is about recognizing that we have the most relevant model of progress and prosperity for humanity as a whole. It is called Sanatana Dharma, which is capable of bringing back the balance between humankind's urge for material success and its need for inner wellbeing. Rediscovering Bharat is an attempt to initiate the reader into a personal journey of rediscovering his/her own Bharat. About the Author: Like most Indians of his generation, Kalyan grew up under the influence of the western education system and its attitudes towards life. Academically inclined, he graduated in Metallurgical Engineering from the N.I.T, Rourkela, post-graduated in business management from S.P.J.I.M.R, Mumbai, and has had a “well-settled” career in the BFSI industry. But he is essentially a restless soul. With a million dreams in his mind’s eyes, and his feet refusing to stay on the ground, he meandered through life’s mundaneness with a thousand questions in his heart. Until one day, he realized two things. One, he is a seeker. And two, he belongs to a land which pioneered the art and science of seeking. That’s when he fell in love with Bharat. Rediscovering Bharat is simply a reflection of his personal journey into getting to know himself and his Bharat, with a wish and a desire that all Indians start their own journeys too.
Cultures of Computation and Quantification in the Ancient World by Karine Chemla,Agathe Keller,Christine Proust Pdf
This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.
Science and Technology in World History by James E. McClellan III,Harold Dorn Pdf
Facts and figures have been thoroughly updated and the work includes a comprehensive Guide to Resources, incorporating the major published literature along with a vetted list of websites and Internet resources for students and lay readers.
Zero has been axial in human development, but the origin and discovery of zero has never been satisfactorily addressed by a comprehensive, systematic and above all interdisciplinary research program. In this volume, over 40 international scholars explore zero under four broad themes: history; religion, philosophy & linguistics; arts; and mathematics & the sciences. Some propose that the invention/discovery of zero may have been facilitated by the prior evolution of a sophisticated concept of Nothingness or Emptiness (as it is understood in non-European traditions); and conversely, inhibited by the absence of, or aversion to, such a concept of Nothingness in the West. But not all scholars agree. Join the debate.
To understand modern science as a coherent story, it is essential to recognize the accomplishments of the ancient Hindus. They invented our base-ten number system and zero that are now used globally, carefully mapped the sky and assigned motion to the Earth in their astronomy, developed a sophisticated system of medicine with its mind-body approach known as Ayurveda, mastered metallurgical methods of extraction and purification of metals, including the so-called Damascus blade and the Iron Pillar of New Delhi, and developed the science of self-improvement that is popularly known as yoga. Their scientific contributions made impact on noted scholars globally: Aristotle, Megasthenes, and Apollonius of Tyana among the Greeks; Al-Biruni, Al-Khwarizmi, Ibn Labban, and Al-Uqlidisi, Al-Ja?iz among the Islamic scholars; Fa-Hien, Hiuen Tsang, and I-tsing among the Chinese; and Leonardo Fibbonacci, Pope Sylvester II, Roger Bacon, Voltaire and Copernicus from Europe. In the modern era, thinkers and scientists as diverse as Ralph Waldo Emerson, Johann Wolfgang von Goethe, Johann Gottfried Herder, Carl Jung, Max Müller, Robert Oppenheimer, Erwin Schrödinger, Arthur Schopenhauer, and Henry David Thoreau have acknowledged their debt to ancient Hindu achievements in science, technology, and philosophy. The American Association for the Advancement of Science (AAAS), one of the largest scientific organizations in the world, in 2000, published a timeline of 100 most important scientific finding in history to celebrate the new millennium. There were only two mentions from the non-Western world: (1) invention of zero and (2) the Hindu and Mayan skywatchers astronomical observations for agricultural and religious purposes. Both findings involved the works of the ancient Hindus. The Ancient Hindu Science is well documented with remarkable objectivity, proper citations, and a substantial bibliography. It highlights the achievements of this remarkable civilization through painstaking research of historical and scientific sources. The style of writing is lucid and elegant, making the book easy to read. This book is the perfect text for all students and others interested in the developments of science throughout history and among the ancient Hindus, in particular.
The Great Mathematicians of Bharat by Partha Pratim Ray Pdf
"The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.
The Mathematics Enthusiast by Bharath Sriraman Pdf
The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. It is published on a print?on?demand basis by Information Age Publishing and the electronic version is hosted by the Department of Mathematical Sciences? University of Montana. The journal is not affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education? North America] through special issues on various research topics.