Author: Ramamurthy N.
Publisher: Createspace Independent Publishing Platform
ISBN: 9781542315654
Category :
Languages : en
Pages : 128
Book Description
Vedanga Jyothisha says - "Like the crest of the peacock, like the gem on the head of a snake, so is Mathematics at the head of all knowledge". Indian Mathematicians are numerous - Pingala, Aryabhata, Bhaskara, Brahmagupta, Kaatyaayana, Mahaaveeraacaarya, Maadhava, Sreedharaacaarya, Bhaarati Krishna Teerthaji Maharaaj and so on. Their contributions to the world of Mathematics are lot many - place value system, importance of 'Zero', etc. Vedas and Mathematics are inseparable. It is an integral part of Vedas, which origin is yet to be clearly specified. Hence the origin of Indian Mathematics also cannot be defined. They used different systems to represent numbers - the major three systems are Katapayaadi Sankhyaa, Bhoota Sankhya and Aryabhateeya Sankhya. These system of numbers were used to represent mathematics through poetic words - dual expertise. It is an ocean. This book tries to bring out a drop from this ocean.
Number System in Samskrit
Author: Ramamurthy N.
Publisher: Createspace Independent Publishing Platform
ISBN: 9781542315654
Category :
Languages : en
Pages : 128
Book Description
Vedanga Jyothisha says - "Like the crest of the peacock, like the gem on the head of a snake, so is Mathematics at the head of all knowledge". Indian Mathematicians are numerous - Pingala, Aryabhata, Bhaskara, Brahmagupta, Kaatyaayana, Mahaaveeraacaarya, Maadhava, Sreedharaacaarya, Bhaarati Krishna Teerthaji Maharaaj and so on. Their contributions to the world of Mathematics are lot many - place value system, importance of 'Zero', etc. Vedas and Mathematics are inseparable. It is an integral part of Vedas, which origin is yet to be clearly specified. Hence the origin of Indian Mathematics also cannot be defined. They used different systems to represent numbers - the major three systems are Katapayaadi Sankhyaa, Bhoota Sankhya and Aryabhateeya Sankhya. These system of numbers were used to represent mathematics through poetic words - dual expertise. It is an ocean. This book tries to bring out a drop from this ocean.
Publisher: Createspace Independent Publishing Platform
ISBN: 9781542315654
Category :
Languages : en
Pages : 128
Book Description
Vedanga Jyothisha says - "Like the crest of the peacock, like the gem on the head of a snake, so is Mathematics at the head of all knowledge". Indian Mathematicians are numerous - Pingala, Aryabhata, Bhaskara, Brahmagupta, Kaatyaayana, Mahaaveeraacaarya, Maadhava, Sreedharaacaarya, Bhaarati Krishna Teerthaji Maharaaj and so on. Their contributions to the world of Mathematics are lot many - place value system, importance of 'Zero', etc. Vedas and Mathematics are inseparable. It is an integral part of Vedas, which origin is yet to be clearly specified. Hence the origin of Indian Mathematics also cannot be defined. They used different systems to represent numbers - the major three systems are Katapayaadi Sankhyaa, Bhoota Sankhya and Aryabhateeya Sankhya. These system of numbers were used to represent mathematics through poetic words - dual expertise. It is an ocean. This book tries to bring out a drop from this ocean.
A History of Ancient Sanskrit Literature
Author: Friedrich Max Müller
Publisher:
ISBN:
Category : Brahmanism
Languages : en
Pages : 698
Book Description
Publisher:
ISBN:
Category : Brahmanism
Languages : en
Pages : 698
Book Description
A Sanskrit Grammar for Students
Author: Arthur Anthony Macdonell
Publisher:
ISBN: 9780198154662
Category : Foreign Language Study
Languages : en
Pages : 294
Book Description
This paperback edition of the 1927 text supplies a complete account of classical sanskrit, the literary language of ancient India. After a brief history of sanskrit grammar and a chart of the Devanagari letters, Macdonell, former Boden Professor of Sanskrit at Oxford University provides chapters on alphabet, declension, conjugation, indeclinable words, nominal stem formation, and syntax.
Publisher:
ISBN: 9780198154662
Category : Foreign Language Study
Languages : en
Pages : 294
Book Description
This paperback edition of the 1927 text supplies a complete account of classical sanskrit, the literary language of ancient India. After a brief history of sanskrit grammar and a chart of the Devanagari letters, Macdonell, former Boden Professor of Sanskrit at Oxford University provides chapters on alphabet, declension, conjugation, indeclinable words, nominal stem formation, and syntax.
Līlāvatī of Bhāskarācārya
Author: Bhāskarācārya
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120814202
Category : Mathematics
Languages : en
Pages : 240
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.
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120814202
Category : Mathematics
Languages : en
Pages : 240
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 Metrical Systems of Sanskrit in Ancient India
Author: Kumuda Prasad Acharya
Publisher:
ISBN: 9789381839584
Category : Sanskrit language
Languages : en
Pages : 123
Book Description
Publisher:
ISBN: 9789381839584
Category : Sanskrit language
Languages : en
Pages : 123
Book Description
A Grammar of Epic Sanskrit
Author: Thomas Oberlies
Publisher: Walter de Gruyter
ISBN: 3110899345
Category : Language Arts & Disciplines
Languages : de
Pages : 688
Book Description
The two great epics of (old) India, the Mahabharata and the Ramayana, are written in a language, which differs from so-called classical Sanskrit in many details. Both texts still are of an enormous importance in India and other countries. Because of this, a grammar describing all the different characteristics of epic Sanskrit has been missed until now. The Grammar of Epic Sanskrit will now close this gap.
Publisher: Walter de Gruyter
ISBN: 3110899345
Category : Language Arts & Disciplines
Languages : de
Pages : 688
Book Description
The two great epics of (old) India, the Mahabharata and the Ramayana, are written in a language, which differs from so-called classical Sanskrit in many details. Both texts still are of an enormous importance in India and other countries. Because of this, a grammar describing all the different characteristics of epic Sanskrit has been missed until now. The Grammar of Epic Sanskrit will now close this gap.
Mathematics in India
Author: Kim Plofker
Publisher: Princeton University Press
ISBN: 9780691120676
Category : History
Languages : en
Pages : 386
Book Description
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).
Publisher: Princeton University Press
ISBN: 9780691120676
Category : History
Languages : en
Pages : 386
Book Description
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).
Zero
Author: Syamal K. Sen
Publisher: Academic Press
ISBN: 0128046244
Category : Mathematics
Languages : en
Pages : 167
Book Description
Zero indicates the absence of a quantity or a magnitude. It is so deeply rooted in our psyche today that nobody will possibly ask "What is zero?" From the beginning of the very creation of life, the feeling of lack of something or the vision of emptiness/void has been embedded by the creator in all living beings. While recognizing different things as well as the absence of one of these things are easy, it is not so easy to fathom the complete nothingness viz. the universal void. Although we have a very good understanding of nothingness or, equivalently, a zero today, our forefathers had devoted countless hours and arrived at the representation and integration of zero and its compatibility not only with all non-zero numbers but also with all conceivable environments only after many painstaking centuries. Zero can be viewed/perceived in two distinct forms: (i) as a number in our mundane affairs and (ii) as the horrific void or Absolute Reality in the spiritual plane/the ultimate state of mind. Presented are the reasons why zero is a landmark discovery and why it has the potential to conjure up in an intense thinker the dreadful nothingness unlike those of other numbers such as 1, 2, and 3. Described are the representation of zero and its history including its deeper understanding via calculus, its occurrences and various roles in different countries as well as in sciences/engineering along with a stress on the Indian zero that is accepted as the time-invariant unique absolute zero. This is followed by the significant distinction between mathematics and computational mathematics and the concerned differences between the unique absolute zero and non-unique relative numerical zeros and their impact and importance in computations on a digital computer. - Introduces the history of the value of zero and why it was a landmark discovery - Discusses how zero is used in science and engineering and its use in different countries - Explains how zero affects different mathematics and calculus
Publisher: Academic Press
ISBN: 0128046244
Category : Mathematics
Languages : en
Pages : 167
Book Description
Zero indicates the absence of a quantity or a magnitude. It is so deeply rooted in our psyche today that nobody will possibly ask "What is zero?" From the beginning of the very creation of life, the feeling of lack of something or the vision of emptiness/void has been embedded by the creator in all living beings. While recognizing different things as well as the absence of one of these things are easy, it is not so easy to fathom the complete nothingness viz. the universal void. Although we have a very good understanding of nothingness or, equivalently, a zero today, our forefathers had devoted countless hours and arrived at the representation and integration of zero and its compatibility not only with all non-zero numbers but also with all conceivable environments only after many painstaking centuries. Zero can be viewed/perceived in two distinct forms: (i) as a number in our mundane affairs and (ii) as the horrific void or Absolute Reality in the spiritual plane/the ultimate state of mind. Presented are the reasons why zero is a landmark discovery and why it has the potential to conjure up in an intense thinker the dreadful nothingness unlike those of other numbers such as 1, 2, and 3. Described are the representation of zero and its history including its deeper understanding via calculus, its occurrences and various roles in different countries as well as in sciences/engineering along with a stress on the Indian zero that is accepted as the time-invariant unique absolute zero. This is followed by the significant distinction between mathematics and computational mathematics and the concerned differences between the unique absolute zero and non-unique relative numerical zeros and their impact and importance in computations on a digital computer. - Introduces the history of the value of zero and why it was a landmark discovery - Discusses how zero is used in science and engineering and its use in different countries - Explains how zero affects different mathematics and calculus
The Language of History
Author: Audrey Truschke
Publisher: Columbia University Press
ISBN: 0231551959
Category : History
Languages : en
Pages : 252
Book Description
For over five hundred years, Muslim dynasties ruled parts of northern and central India, starting with the Ghurids in the 1190s through the fracturing of the Mughal Empire in the early eighteenth century. Scholars have long drawn upon works written in Persian and Arabic about this epoch, yet they have neglected the many histories that India’s learned elite wrote about Indo-Muslim rule in Sanskrit. These works span the Delhi Sultanate and Mughal Empire and discuss Muslim-led kingdoms in the Deccan and even as far south as Tamil Nadu. They constitute a major archive for understanding significant cultural and political changes that shaped early modern India and the views of those who lived through this crucial period. Audrey Truschke offers a groundbreaking analysis of these Sanskrit texts that sheds light on both historical Muslim political leaders on the subcontinent and how premodern Sanskrit intellectuals perceived the “Muslim Other.” She analyzes and theorizes how Sanskrit historians used the tools of their literary tradition to document Muslim governance and, later, as Muslims became an integral part of Indian cultural and political worlds, Indo-Muslim rule. Truschke demonstrates how this new archive lends insight into formulations and expressions of premodern political, social, cultural, and religious identities. By elaborating the languages and identities at play in premodern Sanskrit historical works, this book expands our historical and conceptual resources for understanding premodern South Asia, Indian intellectual history, and the impact of Muslim peoples on non-Muslim societies. At a time when exclusionary Hindu nationalism, which often grounds its claims on fabricated visions of India’s premodernity, dominates the Indian public sphere, The Language of History shows the complexity and diversity of the subcontinent’s past.
Publisher: Columbia University Press
ISBN: 0231551959
Category : History
Languages : en
Pages : 252
Book Description
For over five hundred years, Muslim dynasties ruled parts of northern and central India, starting with the Ghurids in the 1190s through the fracturing of the Mughal Empire in the early eighteenth century. Scholars have long drawn upon works written in Persian and Arabic about this epoch, yet they have neglected the many histories that India’s learned elite wrote about Indo-Muslim rule in Sanskrit. These works span the Delhi Sultanate and Mughal Empire and discuss Muslim-led kingdoms in the Deccan and even as far south as Tamil Nadu. They constitute a major archive for understanding significant cultural and political changes that shaped early modern India and the views of those who lived through this crucial period. Audrey Truschke offers a groundbreaking analysis of these Sanskrit texts that sheds light on both historical Muslim political leaders on the subcontinent and how premodern Sanskrit intellectuals perceived the “Muslim Other.” She analyzes and theorizes how Sanskrit historians used the tools of their literary tradition to document Muslim governance and, later, as Muslims became an integral part of Indian cultural and political worlds, Indo-Muslim rule. Truschke demonstrates how this new archive lends insight into formulations and expressions of premodern political, social, cultural, and religious identities. By elaborating the languages and identities at play in premodern Sanskrit historical works, this book expands our historical and conceptual resources for understanding premodern South Asia, Indian intellectual history, and the impact of Muslim peoples on non-Muslim societies. At a time when exclusionary Hindu nationalism, which often grounds its claims on fabricated visions of India’s premodernity, dominates the Indian public sphere, The Language of History shows the complexity and diversity of the subcontinent’s past.
The Universal History of Numbers
Author: Georges Ifrah
Publisher: Harvill Press
ISBN:
Category : Mathematics
Languages : en
Pages : 666
Book Description
The book explores the science of numeration as it has developed all over the world, from Europe to China, via the Classical World, Mesopotamia, South America and, above all, India and the Arab lands.
Publisher: Harvill Press
ISBN:
Category : Mathematics
Languages : en
Pages : 666
Book Description
The book explores the science of numeration as it has developed all over the world, from Europe to China, via the Classical World, Mesopotamia, South America and, above all, India and the Arab lands.