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This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.
This volume is the outcome of the Ninth International Indology Graduate Research Symposium held at Ghent University in September 2017, the fifth publication of proceedings from this series of symposiums. Like previous volumes, the current edition presents the results of recent research by early-career scholars into the texts, languages, as well as literary, philosophical and religious traditions of South Asia. The articles here collected offer a broad range of disciplinary perspectives on a wide array of subject. In addition, in the lines of the well-established tradition of research in Jainism at Ghent University, this edition has a more specific “Jains and the others” main theme. The p...
This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yi...
Throughout history, manuscripts have been made and used for religious, artistic, and scientific performances, and this practice continues in most cultures today. By focusing on the role manuscripts have in different kinds of performances, this volume contributes to the evolving field of investigating written artefacts and their functions. The collected essays regard manuscripts as points of intersection where textual, material, and performative aspects converge. The contributors analyse manuscripts in their forms and functions as well as their positioning in the performances for which they were made. These aspects unfold across the volume's three sections, examining how manuscripts are (1) used backstage, for preparing and giving instructions for performances; (2) taken onstage, contributing to the enactment of performances; and (3) performers in their own right, producing an effect on the audience. The diversified, interdisciplinary, and innovative methodologies of the included papers carry great potential to expand the traditional approaches of manuscript studies and find application outside the contributors' respective fields.
This is the first book fully dedicated to Indian philosophical doxography. It examines the function such dialectical texts were intended to serve in the intellectual and religious life of their public. It looks at Indian doxography both as a witness of inter- and intra-sectarian dialogues and as a religious phenomenon. It argues that doxographies represent dialectical exercises, indicative of a peculiar religious attitude to plurality, and locate these ‘exercises’ within a known form of ‘yoga’ dedicated to the cultivation of ‘knowledge’ or ‘gnosis’ (jñāna). Concretely, the book presents a critical examination of three Sanskrit doxographies: the Madhyamakahṛdayakārikā of...
Di Patañjali, maestro principe dello Yoga, si sa ben poco, neanche se fosse un solo o se furono in molti a portare tale nome. In italiano poi quasi niente si trovava finora nelle varie presentazioni alle diverse versioni degli Yogasūtra, e nessuno studio d'insieme. In questo volumetto peraltro non si pretende di risolvere i problemi cronologici ed interpretativi che nessun altro ha risolto; semplicemente si sono setacciate le varie fonti disponibili, raccogliendo ad uso dello studioso tutto quanto s'è potuto; traducendo anche parecchi estratti da opere mai prima tradotte in italiano, in particolare da quelle di James Haughton Woods e di Surendranath Dasgupta, che più di altri si sono occupati dell'identità e della biografia di Patañjali, e deducendo dai dati quanto si poteva. A supporto del ricercatore, viene anche proposta la bibliografia delle opere relative a Patañjali che sono state consultate dall'autore e che sono reperibili in Italia e su Internet.
The fetal heart is considered to be the most important and difficult part of fetal examination. The purpose of this book and accompanying DVD is to enable the reader firstly to find out whether the heart is normal or not, and secondly to diagnose the type of cardiac abnormality if present. To provide the skills and methodology to do this, the book covers basic anatomy and embryology, and explains what to look for, why and how. It also describes associated pathology (e.g. chromosomal abnormalities, syndromes) which the sonographer needs to know after a cardiac abnormality has been found. Accompanying DVD with over 60 minutes of video clips and 4D ultasound scans. Highly illustrated with nearly 400 ultrasound scans, photographs of anatomical sections and explanatory line diagrams in colour and black and white. Step-by-step guide for those new to fetal echocardiography and a reference source for the more experienced sonographer.