Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0

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Book Description

Author: C. K. Raju
Publisher: Pearson Education India
ISBN: 9788131708712
Category : Calculus
Languages : en
Pages : 536

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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.

Author: M. Manaresi
Publisher: Springer
ISBN: 9783540867753
Category : Mathematics
Languages : en
Pages : 405

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Book Description
Predicated on the notion that mathematics has been a growing source of aesthetic inspiration in culture, this volume celebrates where the two intermesh. It is a meditation on the performances and cultural events, all mathematics-related, performed in Bologna in 2004, is dedicated to all those who are curious about mathematics, but also more generally about theatre, cinema, literature, arts and science. Thanks to the DVD, one can readers can relive various events through the voices and the images of the participants.

Author: M. Manaresi
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 428

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Book Description
Predicated on the notion that mathematics has been a growing source of aesthetic inspiration in culture, this volume celebrates where the two intermesh. It is a meditation on the performances and cultural events, all mathematics-related, performed in Bologna in 2004, is dedicated to all those who are curious about mathematics, but also more generally about theatre, cinema, literature, arts and science. Thanks to the DVD, one can readers can relive various events through the voices and the images of the participants.

Author: Helaine Selin
Publisher: Springer Science & Business Media
ISBN: 9401143013
Category : Mathematics
Languages : en
Pages : 489

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Book Description
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Author: Eleanor Chan
Publisher: Routledge
ISBN: 9780429326431
Category : History
Languages : en
Pages : 304

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Book Description
The development of a coherent, cohesive visual system of mathematics brought about a seminal shift in approaches towards abstract thinking in western Europe. Vernacular translations of Euclid's Elements made these new and developing approaches available to a far broader readership than had previously been possible. Scholarship has explored the way that the language of mathematics leaked into the literary cultures of England and the Low Countries, but until now the role of visual metaphors of making and shaping in the establishment of mathematics as a practical tool has gone unexplored. Mathematics and the Craft of Thought sheds light on the remarkable culture shift surrounding the vernacular language translations of Euclid, and the geometrical imaginary that they sought to create. It shows how the visual language of early modern European geometry was constructed by borrowing and quoting from contemporary visual culture. The verbal and visual language of this form of mathematics, far from being simply immaterial, was designed to tantalize with material connotations. This book argues that, in a very real sense, practical geometry in this period was built out of craft metaphors.

Author: Arthur B. Powell
Publisher: SUNY Press
ISBN: 9780791433515
Category : Mathematics
Languages : en
Pages : 466

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Book Description
Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.

Author: Werner Blum
Publisher: Springer
ISBN: 3030055140
Category : Education
Languages : en
Pages : 212

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Book Description
This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

Author: Helaine Selin
Publisher: Springer
ISBN: 9789401143028
Category : Mathematics
Languages : en
Pages : 479

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Book Description
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Author: Frederick Koon-Shing Leung
Publisher: Springer Science & Business Media
ISBN: 0387297235
Category : Education
Languages : en
Pages : 592

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Book Description
The idea of the ICMI Study 13 is outlined as follows: Education in any social environment is influenced in many ways by the traditions of these environments. This study brings together leading experts to research and report on mathematics education in a global context. Mathematics education faces a split phenomenon of difference and correspondence. A study attempting a comparison between mathematics education in different traditions will be helpful to understanding this phenomenon.