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Author: Jens Høyrup
Publisher: Springer Science & Business Media
ISBN: 1475736851
Category : Mathematics
Languages : en
Pages : 476

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Book Description
In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.

Author: Jöran Friberg
Publisher: Springer
ISBN: 3319445979
Category : Mathematics
Languages : en
Pages : 566

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Book Description
This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script. It is a continuation of the work A Remarkable Collection of Babylonian Mathematical Texts (Springer 2007) written by Jöran Friberg, the leading expert on Babylonian mathematics. Focussing on the big picture, Friberg explores in this book several Late Babylonian arithmetical and metro-mathematical table texts from the sites of Babylon, Uruk and Sippar, collections of mathematical exercises from four Old Babylonian sites, as well as a new text from Early Dynastic/Early Sargonic Umma, which is the oldest known collection of mathematical exercises. A table of reciprocals from the end of the third millennium BC, differing radically from well-documented but younger tables of reciprocals from the Neo-Sumerian and Old-Babylonian periods, as well as a fragment of a Neo-Sumerian clay tablet showing a new type of a labyrinth are also discussed. The material is presented in the form of photos, hand copies, transliterations and translations, accompanied by exhaustive explanations. The previously unpublished mathematical cuneiform texts presented in this book were discovered by Farouk Al-Rawi, who also made numerous beautiful hand copies of most of the clay tablets. Historians of mathematics and the Mesopotamian civilization, linguists and those interested in ancient labyrinths will find New Mathematical Cuneiform Texts particularly valuable. The book contains many texts of previously unknown types and material that is not available elsewhere.

Author: Ron Irving
Publisher: American Mathematical Soc.
ISBN: 147045176X
Category : Education
Languages : en
Pages : 228

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Book Description
The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. The book is designed for self-study, with many results presented as exercises and some supplemented by outlines for solution. The intended audience includes in-service and prospective secondary mathematics teachers, high school students eager to go beyond the standard curriculum, undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject.

Author: William E. Burns
Publisher: Bloomsbury Publishing USA
ISBN:
Category : History
Languages : en
Pages : 709

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Book Description
This encyclopedia offers an interdisciplinary approach to studying science and technology within the context of world history. With balanced coverage, a logical organization, and in-depth entries, readers of all inclinations will find useful and interesting information in its contents. Science and Technology in World History takes a truly global approach to the subjects of science and technology and spans the entirety of recorded human history. Topical articles and entries on the subjects are arranged under thematic categories, which are divided further into chronological periods. This format, along with the encyclopedia's integrative approach, offers an array of perspectives that collectively contribute to the understanding of numerous fields across the world and over eras of development. Entries cover discussions of scientific and technological innovations and theories, historical vignettes, and important texts and individuals throughout the world. From the discovery of fire and the innovation of agricultural methods in China to the establishment of surgical practices in France and the invention of Quantum Theory, this encyclopedia offers comprehensive coverage of fascinating topics in science and technology through a straightforward, historical lens.

Author: Philip Beeley
Publisher: Oxford University Press
ISBN: 0198863950
Category :
Languages : en
Pages : 513

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Book Description
Comprising fifteen essays by leading authorities in the history of mathematics, this volume aims to exemplify the richness, diversity, and breadth of mathematical practice from the seventeenth century through to the middle of the nineteenth century.

Author: Annette Imhausen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110448815
Category : History
Languages : en
Pages : 624

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Book Description
Ancient cultures have left written evidence of a variety of scientific texts. But how can/should they be translated? Is it possible to use modern concepts (and terminology) in their translation and which consequences result from this practice? Scholars of various disciplines discuss the practice of translating ancient scientific texts and present examples of these texts and their translations.

Author: Mathieu Ossendrijver
Publisher: Springer Science & Business Media
ISBN: 1461437822
Category : Mathematics
Languages : en
Pages : 636

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Book Description
This book contains new translations and a new analysis of the procedure texts of Babylonian mathematical astronomy, the earliest known form of mathematical astronomy of the ancient world. The translations are based on a modern approach incorporating recent insights from Assyriology and translation science. The work contains updated and expanded interpretations of the astronomical algorithms and investigations of previously ignored linguistic, mathematical and other aspects of the procedure texts. Special attention is paid to issues of mathematical representation and over 100 photos of cuneiform tablets dating from 350-50 BCE are presented. In 2-3 years, the author intends to continue his study of Babylonian mathematical astronomy with a new publication which will contain new editions and reconstructions of approx. 250 tabular texts and a new philological, astronomical and mathematical analysis of these texts. Tabular texts are end products of Babylonian math astronomy, computed with algorithms that are formulated in the present volume, Procedure Texts.

Author: Jens Høyrup
Publisher: Springer Nature
ISBN: 303019258X
Category : Mathematics
Languages : en
Pages : 969

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Book Description
This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.

Author: Volker R. Remmert
Publisher: Birkhäuser
ISBN: 3319396498
Category : Mathematics
Languages : en
Pages : 282

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Book Description
This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.

Author: Alexander Jones
Publisher: Cambridge University Press
ISBN: 1108682626
Category : Technology & Engineering
Languages : en
Pages :

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Book Description
This volume in the highly respected Cambridge History of Science series is devoted to the history of science, medicine and mathematics of the Old World in antiquity. Organized by topic and culture, its essays by distinguished scholars offer the most comprehensive and up-to-date history of ancient science currently available. Together, they reveal the diversity of goals, contexts, and accomplishments in the study of nature in Mesopotamia, Egypt, Greece, Rome, China, and India. Intended to provide a balanced and inclusive treatment of the ancient world, contributors consider scientific, medical and mathematical learning in the cultures associated with the ancient world.