Līlāvatī of Bhāskarācārya

Līlāvatī of Bhāskarācārya PDF Author: Bhāskarācārya
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120814202
Category : Mathematics
Languages : en
Pages : 240

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Book Description
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.

Līlāvatī of Bhāskarācārya

Līlāvatī of Bhāskarācārya PDF Author: Bhāskarācārya
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120814202
Category : Mathematics
Languages : en
Pages : 240

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Book Description
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.

Colebrooke's Translation of the Lílávatí

Colebrooke's Translation of the Lílávatí PDF Author: Bhāskarācārya
Publisher: Asian Educational Services
ISBN: 9788120608405
Category : History
Languages : en
Pages : 338

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Book Description


The Lilavati, a treatise on arithmetic

The Lilavati, a treatise on arithmetic PDF Author: Bhāskara II.
Publisher:
ISBN:
Category :
Languages : fa
Pages : 83

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Book Description


The Illustrated Lilavati

The Illustrated Lilavati PDF Author: Somdip Datta
Publisher: lilboox.com
ISBN: 0996451102
Category : History
Languages : en
Pages : 107

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Book Description
The book that served as the textbook of math, in India, and outside, for many centuries, now presented in a graphic novel format with 106 illustrated panels. The word problems in Lilavati invoke bees and flowers, kings and gods to describe exercises in Linear and Quadratic Equations, Progressions, Combinations and Geometry. Now this ancient Sanskrit manuscript is an accessible exercise book for your children in middle or high school.

Lilawati: Or A Treatise on Arithmetic and Geometry

Lilawati: Or A Treatise on Arithmetic and Geometry PDF Author: Bhāskarācārya
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 242

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Book Description
An important mathematician and astronomer in medieval India, Bhascara Acharya (1114-85) wrote treatises on arithmetic, algebra, geometry and astronomy. He is also believed to have been head of the astronomical observatory at Ujjain, which was the leading centre of mathematical sciences in India. Forming part of his Sanskrit magnum opus Siddhānta Shiromani, the present work is his treatise on arithmetic, including coverage of geometry. It was first published in English in 1816 after being translated by the East India Company surgeon John Taylor (d.1821). Used as a textbook in India for centuries, it provides the basic mathematics needed for astronomy. Topics covered include arithmetical terms, plane geometry, solid geometry and indeterminate equations. Of enduring interest in the history of mathematics, this work also contains Bhascara's pictorial proof of Pythagoras' theorem.

The Educational Heritage of Ancient India

The Educational Heritage of Ancient India PDF Author: Sahana Singh
Publisher: Notion Press
ISBN: 194758653X
Category : History
Languages : en
Pages : 88

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Book Description
Just a thousand years ago, India was dotted with universities across its length and breadth, where international students flocked to gain credentials in advanced education. This illustrated book describes how these multi-disciplinary centers of learning existed in several forms such as forest universities, brick-and-mortar universities and temple universities. It examines the funding for these citadels of learning and their graduation ceremonies. The process by which India’s ancient systems of education helped to fuel a knowledge revolution around the world with its manuscripts, forming the basis for monographs and academic papers, is explained with references. The marauding incursions by Muslim invaders, which disrupted the idyllic world of university learning in India, followed by European colonization, which led to further erosion and degeneration of India’s traditional learning systems, have been taken up in some detail. Readers will get a snapshot view of India's education system down the ages from ancient to modern times.

Ancient Hindu Science

Ancient Hindu Science PDF Author: Alok Kumar
Publisher: Springer Nature
ISBN: 3031794028
Category : Technology & Engineering
Languages : en
Pages : 197

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Book Description
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.

Sanskrit Non-Translatables

Sanskrit Non-Translatables PDF Author: Rajiv Malhotra
Publisher: Manjul Publishing
ISBN: 9390085489
Category : Foreign Language Study
Languages : en
Pages : 304

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Book Description
Sanskrit Non-Translatables is a path-breaking and audacious attempt at Sanskritizing the English language and enriching it with powerful Sanskrit words. It continues the original and innovative idea of nontranslatability of Sanskrit, first introduced in the book, Being Different. For English readers, this should be the starting point of the movement to resist the digestion of Sanskrit into English, by introducing loanwords into their English vocabulary without translation. The book presents a thorough mechanism of the process of digestion and examines the loss of adhikara for Sanskrit because of translating its core ideas into English. The movement launched by this book will resist this and stop the programs that seek to turn Sanskrit into a dead language by translating all its treasures to render it redundant. It discusses fifty-four non-translatables across various genres that are being commonly mistranslated. It empowers English speakers with the knowledge and arguments to introduce these Sanskrit words into their daily speech with confidence. Every lover of India’s sanskriti will benefit from the book and become a cultural ambassador propagating it through routine communications.

Indian Mathematics: Engaging With The World From Ancient To Modern Times

Indian Mathematics: Engaging With The World From Ancient To Modern Times PDF Author: George Gheverghese Joseph
Publisher: World Scientific
ISBN: 1786340631
Category : Mathematics
Languages : en
Pages : 510

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Book Description
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.

A Modern Introduction to Ancient Indian Mathematics

A Modern Introduction to Ancient Indian Mathematics PDF Author: T. S. Bhanu Murthy
Publisher: New Age International
ISBN: 9788122403718
Category : Hindu mathematics
Languages : en
Pages : 230

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Book Description
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.