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.

The Lilavati, a treatise on arithmetic

The Lilavati, a treatise on arithmetic PDF Author: Bhāskara II.
Publisher:
ISBN:
Category :
Languages : fa
Pages : 172

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Book Description


Līlāvatī of Bhāskarācārya

Līlāvatī of Bhāskarācārya PDF Author: Bhāskarācārya
Publisher: Motilal Banarsidass Publishe
ISBN: 9788120817777
Category : Fiction
Languages : en
Pages : 230

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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.

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 Lilavati

The Lilavati PDF Author: Bhāscara Āchārya
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 0

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Book Description


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


Bhāskara Acārya

Bhāskara Acārya PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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

Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara PDF Author: Brahmagupta
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 482

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Book Description


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.

Introduction to Probability

Introduction to Probability PDF Author: David F. Anderson
Publisher: Cambridge University Press
ISBN: 110824498X
Category : Mathematics
Languages : en
Pages : 447

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Book Description
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.