Author: K. G. Poulose
Publisher:
ISBN:
Category : Hindu mathematics
Languages : en
Pages : 98
Book Description
Contributed articles.
Scientific Heritage of India, Mathematics
Author: K. G. Poulose
Publisher:
ISBN:
Category : Hindu mathematics
Languages : en
Pages : 98
Book Description
Contributed articles.
Publisher:
ISBN:
Category : Hindu mathematics
Languages : en
Pages : 98
Book Description
Contributed articles.
Scientific Heritage of India
Author: B. V. Subbarayappa
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 312
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 312
Book Description
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).
Pride of India
Author:
Publisher: SAMSKRITA BHARATI [nonProfit
ISBN: 9788187276272
Category : Civilization, Hindu
Languages : en
Pages : 226
Book Description
Includes contributed articles.
Publisher: SAMSKRITA BHARATI [nonProfit
ISBN: 9788187276272
Category : Civilization, Hindu
Languages : en
Pages : 226
Book Description
Includes contributed articles.
Scientific Heritage of India
Author: K. G. Paulose
Publisher:
ISBN:
Category : Medicine, Ayurvedic
Languages : en
Pages : 60
Book Description
Contributed research papers on Ayurveda system in Indic medicine.
Publisher:
ISBN:
Category : Medicine, Ayurvedic
Languages : en
Pages : 60
Book Description
Contributed research papers on Ayurveda system in Indic medicine.
Vedic Mathematics Or Sixteen Simple Mathematical Formulae from the Vedas for One-line Answers to All the Mathematical Problems)
Author: Bhāratī Kṛṣṇa Tīrtha
Publisher:
ISBN:
Category :
Languages : en
Pages : 367
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 367
Book Description
The Educational Heritage of Ancient India
Author: Sahana Singh
Publisher: Notion Press
ISBN: 194758653X
Category : History
Languages : en
Pages : 88
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.
Publisher: Notion Press
ISBN: 194758653X
Category : History
Languages : en
Pages : 88
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.
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.
Cultural Foundations of Mathematics
Author: C. K. Raju
Publisher: Pearson Education India
ISBN: 9788131708712
Category : Calculus
Languages : en
Pages : 536
Book Description
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.
Publisher: Pearson Education India
ISBN: 9788131708712
Category : Calculus
Languages : en
Pages : 536
Book Description
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.
The Great Mathematicians of Bharat
Author: Partha Pratim Ray
Publisher: Rajmangal Prakashan
ISBN:
Category : Architecture
Languages : en
Pages : 685
Book Description
"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.
Publisher: Rajmangal Prakashan
ISBN:
Category : Architecture
Languages : en
Pages : 685
Book Description
"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.