Cultural Foundations Of Mathematics The Nature Of Mathematical Proof And The Transmission Of The Calculus From India To Europe In The 16th C Ce

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Cultural Foundations of Mathematics The Nature of Mathematical Proof and the Transmission of the Calculus from India to Europe in the 16th C. CE

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Author by : C. K. Raju
Languange Used : English, France, Spanish, Italia and chinese
Page : 477
Isbn : 9788131708712
Identifier : 8131708713
Release : 2007
Publisher by : Pearson Education India
Category : Calculus
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Description : Read Now Cultural Foundations Of Mathematics by C. K. Raju and you can download with pub, pdf, txt, doc, and more file format with free account. 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 Crest of the Peacock Non-European Roots of Mathematics, Third Edition

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Author by : George Gheverghese Joseph
Languange Used : English, France, Spanish, Italia and chinese
Page : 584
Isbn : 1400836360
Identifier : 9781400836369
Release : 2010-10-04
Publisher by : Princeton University Press
Category : Science
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Description : Read Now The Crest Of The Peacock by George Gheverghese Joseph and you can download with pub, pdf, txt, doc, and more file format with free account. from the ishango bone of central africa and the inca quipu of south america to the dawn of modern mathematics, the crest of the peacock makes it clear that human beings everywhere have been capable of advanced and innovative mathematical thinking. george gheverghese joseph takes us on a breathtaking multicultural tour of the roots and shoots of non-european mathematics. he shows us the deep influence that the egyptians and babylonians had on the greeks, the arabs' major creative contributions, and the astounding range of successes of the great civilizations of india and china. the third edition emphasizes the dialogue between civilizations, and further explores how mathematical ideas were transmitted from east to west. the book's scope is now even wider, incorporating recent findings on the history of mathematics in china, india, and early islamic civilizations as well as egypt and mesopotamia. with more detailed coverage of proto-mathematics and the origins of trigonometry and infinity in the east, the crest of the peacock further illuminates the global history of mathematics.

History of Science, Philosophy and Culture in Indian Civilization: pt. 1. Science, technology, imperialism and war

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Author by : Debi Prasad Chattopadhyaya
Languange Used : English, France, Spanish, Italia and chinese
Page : 233
Isbn : 9788131728185
Identifier : 8131728188
Release : 1999
Publisher by : Pearson Education India
Category : India
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Tantrasaṅgraha of Nīlakaṇṭha Somayājī

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Author by : K. Ramasubramanian
Languange Used : English, France, Spanish, Italia and chinese
Page : 598
Isbn : 9780857290366
Identifier : 0857290363
Release : 2011-06-16
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Tantrasangraha Of Nilakantha Somayaji by K. Ramasubramanian and you can download with pub, pdf, txt, doc, and more file format with free account. tantrasangraha, composed by the renowned kerala astronomer nīlakantha somayājī (c.1444-1545 ad) ranks along with Āryabhatīya of Āryabhata and siddhāntaśiromani of bhāskarācārya as one of the major works which significantly influenced further work on astronomy in india. one of the distinguishing features is the introduction of a major revision of the traditional indian planetary model. nīlakantha arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (mercury and venus) than was previously available. in preparing the translation and explanatory notes, k. ramasubramanian and m. s. sriram have used authentic sanskrit editions of tantrasangraha by surand kunjan pillai and k v sarma. all verses have been translated into english, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.

Aspects of India's International Relations, 1700 to 2000 South Asia and the World

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Author by : Jayanta Kumar Ray
Languange Used : English, France, Spanish, Italia and chinese
Page : 634
Isbn : 9788131708347
Identifier : 8131708349
Release : 2007
Publisher by : Pearson Education India
Category : India
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Description : Read Now Aspects Of India S International Relations 1700 To 2000 by Jayanta Kumar Ray and you can download with pub, pdf, txt, doc, and more file format with free account. this volume is a modernist study of india's international relations, which traverses pre-colonial, colonial and postcolonial perspectives. its fourteen chapters discuss varied subjects related to south asia's regional and international relations, like: (i) the institutionalization of british paramountcy in india and its effect on the region's external relations, as well as indigenous responses to colonial rule (ii) the influence of domestic variables upon india's international relations (iii) the interspersing of ethnic, economic and religious factors in the making of the british indian empire, and later, of the indian state (iv) the paradigms of nature, culture, state-making on the one hand, and political ecology and cultural politics of natural resources on the other (v) the changing character of foreign corporate involvement in india (vi) the development of science and technology in india and the activities of the armed forces in india (vii) the fostering of formal arrangements such as saarc or safta in south asia and informal challenges to india's security from non-state actors (viii) the economic, political and cultural consequences of globalization for india during the imperial-colonial phases (ix) the evolution, in creative writing, of a discourse on the world outside india and on india's relationship with it. this volume will be of interest to scholars and students of south asian studies, history, political science and international relations, and defence studies.

The tradition of astronomy in India jyotiḥśāstra

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Author by : B. V. Subbarayappa
Languange Used : English, France, Spanish, Italia and chinese
Page : 509
Isbn :
Identifier : UOM:39015080549820
Release : 2008-12-16
Publisher by : Munshirm Manoharlal Pub Pvt Ltd
Category : Science
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Indian Journal of History of Science

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Author by : no defined
Languange Used : English, France, Spanish, Italia and chinese
Page : 233
Isbn :
Identifier : UCBK:C105447171
Release : 2010
Publisher by : no defined
Category : Science
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Indian National Bibliography

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Author by : no defined
Languange Used : English, France, Spanish, Italia and chinese
Page : 233
Isbn :
Identifier : UCBK:C094319384
Release : 2009-05
Publisher by : no defined
Category : India
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Time: Towards a Consistent Theory

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Author by : C.K. Raju
Languange Used : English, France, Spanish, Italia and chinese
Page : 260
Isbn : 9401583765
Identifier : 9789401583763
Release : 2013-03-14
Publisher by : Springer Science & Business Media
Category : Science
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Description : Read Now Time Towards A Consistent Theory by C.K. Raju and you can download with pub, pdf, txt, doc, and more file format with free account. is time, even locally, like the real line? multiple structures of time, implicit in physics, create a consistency problem. a tilt in the arrow of time is suggested as the most conservative hypothesis which provides approximate consistency within physics and with topology of mundane time. mathematically, the assumed constancy of the velocity of light (needed to measure time) implies functional differential equations of motion, that have both retarded and advanced deviating arguments with the hypothesis of a tilt. the novel features of such equations lead to a nontrivial structure of time and quantum-mechanical behaviour. the entire argument is embedded in a pedagogical exposition which amplifies, corrects, and questions the conventionally accepted approach. the exposition includes historical details and explains, for instance, why the entropy law is inadequate for time asymmetry, and why notions such as time asymmetry (hence causality) may be conceptually inadequate. the first three parts of the book are especially suited as supplementary reading material for undergraduate and graduate students and teachers of physics. the new ideas are addressed to researchers in physics and philosophy of science concerned with relativity and the interpretation of quantum mechanics.

More Precisely The Math You Need to Do Philosophy

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Author by : Eric Steinhart
Languange Used : English, France, Spanish, Italia and chinese
Page : 208
Isbn : 9781770480094
Identifier : 1770480099
Release : 2009-01-29
Publisher by : Broadview Press
Category : Philosophy
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Description : Read Now More Precisely by Eric Steinhart and you can download with pub, pdf, txt, doc, and more file format with free account. more precisely provides a rigorous and engaging introduction to the mathematics necessary to do philosophy. it is impossible to fully understand much of the most important work in contemporary philosophy without a basic grasp of set theory, functions, probability, modality and infinity. until now, this knowledge was difficult to acquire. professors had to provide custom handouts to their classes, while students struggled through math texts searching for insight. more precisely fills this key gap. eric steinhart provides lucid explanations of the basic mathematical concepts and sets out most commonly used notational conventions. furthermore, he demonstrates how mathematics applies to many fundamental issues in branches of philosophy such as metaphysics, philosophy of language, epistemology, and ethics.

Developments in Indian philosophy from Eighteenth century onwards classical and western

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Author by : Daya Krishna
Languange Used : English, France, Spanish, Italia and chinese
Page : 416
Isbn :
Identifier : STANFORD:36105127769730
Release : 2002-01-01
Publisher by : no defined
Category : Philosophy
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Description : Read Now Developments In Indian Philosophy From Eighteenth Century Onwards by Daya Krishna and you can download with pub, pdf, txt, doc, and more file format with free account. the development in nyaya, mimamsa, vedanta and samkhya from the end of seventeenth century onwards is delineated in this book and which reveals that it is not only a period just of pariskata or subtle refinement as is generally believed but also that of genuine creative innovation. the same can be said in the field of alamkarasastra, vyavaharasastra and dharmasastra and also in the thinking done in the field of philosophy, written in english language, since the coming of the british. it also tries to develop a new methodology for the historiography of thought, which may be relevant to other fields of history writing as well. it also suggests the direction which further works may take in future.

India's Interaction with Southeast Asia

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Author by : Govind Chandra Pande
Languange Used : English, France, Spanish, Italia and chinese
Page : 704
Isbn :
Identifier : UOM:39015064726287
Release : 2006-01-01
Publisher by : Munshirm Manoharlal Pub Pvt Limited
Category : History
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Description : Read Now India S Interaction With Southeast Asia by Govind Chandra Pande and you can download with pub, pdf, txt, doc, and more file format with free account. the volume 'india's interaction with southeast asia' edited by professor g.c. pande provides a much needed synthesis of new research on ancient indian contact with southeast asia. this volume situates indo-southeast asian interchange within a global civilizational perspective, in which the old notion of the indic 'motherland' sustaining the southeast asian civilization is discarded in favour of a 'reciprocal' model that explores the uniqueness of the lands on both sides of the bay of bengal. the volume gives equitable academic space to both dimensions of indo-southeast asian contacts: the indic influences that shaped southeast asian cultures as well as the native genius of southeast asians that refined indian art and architecture into the wonders of angkor vat and borobudur. the contributions to the volume come from art historians, archaeologists, linguists, historians and philosophers well known in their field. the volume is relevant for the specialist as well as the layman.