The Lilavati A Treatise On Arithmetic

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Līlāvatī of Bhāskarācārya

Author : Bhāskarācārya
Publisher : Motilal Banarsidass Publ.
ISBN 13 : 9788120814202
Total Pages : 240 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Līlāvatī of Bhāskarācārya by : Bhāskarācārya

Download or read book Līlāvatī of Bhāskarācārya 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.

The Lilavati, a treatise on arithmetic

Author : Bhāskara II.
Publisher :
ISBN 13 :
Total Pages : 83 pages
Book Rating : 4.B/5 ( download)

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Book Synopsis The Lilavati, a treatise on arithmetic by : Bhāskara II.

Download or read book The Lilavati, a treatise on arithmetic written by Bhāskara II. and published by . This book was released on 1827 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lilawati: Or A Treatise on Arithmetic and Geometry

Author : Bhāskarācārya
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.R/5 (5 download)

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Book Synopsis Lilawati: Or A Treatise on Arithmetic and Geometry by : Bhāskarācārya

Download or read book Lilawati: Or A Treatise on Arithmetic and Geometry written by Bhāskarācārya and published by . This book was released on 1816 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lilawati

Author : Bhascara Acharya
Publisher :
ISBN 13 : 9781139506519
Total Pages : pages
Book Rating : 4.5/5 (65 download)

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Book Synopsis Lilawati by : Bhascara Acharya

Download or read book Lilawati written by Bhascara Acharya and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara

Author : Brahmagupta
Publisher :
ISBN 13 :
Total Pages : 482 pages
Book Rating : 4.+/5 (13 download)

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Book Synopsis Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara by : Brahmagupta

Download or read book Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara written by Brahmagupta and published by . This book was released on 1817 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Colebrooke's Translation of the Lilavati

Author : Haran Chandra Banerji
Publisher :
ISBN 13 : 9789392510939
Total Pages : 0 pages
Book Rating : 4.5/5 (19 download)

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Book Synopsis Colebrooke's Translation of the Lilavati by : Haran Chandra Banerji

Download or read book Colebrooke's Translation of the Lilavati written by Haran Chandra Banerji and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lilawati, Or, A Treatise on Arithmetic and Geometry

Author : Bhāskarācārya
Publisher :
ISBN 13 : 9788121295178
Total Pages : 0 pages
Book Rating : 4.2/5 (951 download)

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Book Synopsis Lilawati, Or, A Treatise on Arithmetic and Geometry by : Bhāskarācārya

Download or read book Lilawati, Or, A Treatise on Arithmetic and Geometry written by Bhāskarācārya and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Educational Heritage of Ancient India

Author : Sahana Singh
Publisher : Notion Press
ISBN 13 : 194758653X
Total Pages : 80 pages
Book Rating : 4.9/5 (475 download)

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Book Synopsis The Educational Heritage of Ancient India by : Sahana Singh

Download or read book The Educational Heritage of Ancient India written by Sahana Singh and published by Notion Press. This book was released on 2017-08-03 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Illustrated Lilavati

Author : Somdip Datta
Publisher : lilboox.com
ISBN 13 : 0996451102
Total Pages : 107 pages
Book Rating : 4.9/5 (964 download)

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Book Synopsis The Illustrated Lilavati by : Somdip Datta

Download or read book The Illustrated Lilavati written by Somdip Datta and published by lilboox.com. This book was released on 2015-05-27 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Algebra of Mohammed Ben Musa Edited and Translated by Frederic Rosen

Author : Muḥammad ibn Mūsā al-Khuwārizmī
Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis The Algebra of Mohammed Ben Musa Edited and Translated by Frederic Rosen by : Muḥammad ibn Mūsā al-Khuwārizmī

Download or read book The Algebra of Mohammed Ben Musa Edited and Translated by Frederic Rosen written by Muḥammad ibn Mūsā al-Khuwārizmī and published by . This book was released on 1831 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ancient Hindu Science

Author : Alok Kumar
Publisher : Springer Nature
ISBN 13 : 3031794028
Total Pages : 197 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Ancient Hindu Science by : Alok Kumar

Download or read book Ancient Hindu Science written by Alok Kumar and published by Springer Nature. This book was released on 2022-05-31 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Probability

Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Colebrooke's Translation of the Lílávatí

Author : Bhāskarācārya
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Colebrooke's Translation of the Lílávatí by : Bhāskarācārya

Download or read book Colebrooke's Translation of the Lílávatí written by Bhāskarācārya and published by . This book was released on 1893 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Modern Introduction to Ancient Indian Mathematics

Author : T. S. Bhanu Murthy
Publisher : New Age International
ISBN 13 : 9788122403718
Total Pages : 230 pages
Book Rating : 4.4/5 (37 download)

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Book Synopsis A Modern Introduction to Ancient Indian Mathematics by : T. S. Bhanu Murthy

Download or read book A Modern Introduction to Ancient Indian Mathematics written by T. S. Bhanu Murthy and published by New Age International. This book was released on 1993 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The History of Mathematical Proof in Ancient Traditions

Author : Karine Chemla
Publisher : Cambridge University Press
ISBN 13 : 1139510584
Total Pages : pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis The History of Mathematical Proof in Ancient Traditions by : Karine Chemla

Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla and published by Cambridge University Press. This book was released on 2012-07-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

Sanskrit Non-Translatables

Author : Rajiv Malhotra
Publisher : Manjul Publishing
ISBN 13 : 9390085489
Total Pages : 302 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Sanskrit Non-Translatables by : Rajiv Malhotra

Download or read book Sanskrit Non-Translatables written by Rajiv Malhotra and published by Manjul Publishing. This book was released on with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry in Ancient and Medieval India

Author : T. A. Sarasvati Amma
Publisher : Motilal Banarsidass Publ.
ISBN 13 : 9788120813441
Total Pages : 304 pages
Book Rating : 4.8/5 (134 download)

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Book Synopsis Geometry in Ancient and Medieval India by : T. A. Sarasvati Amma

Download or read book Geometry in Ancient and Medieval India written by T. A. Sarasvati Amma and published by Motilal Banarsidass Publ.. This book was released on 1999 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.