The Mathematical Praeface To The Elements Of Geometrie Of Euclid Of Megara 1570 PDF Download

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Mathematical Practitioners and the Transformation of Natural Knowledge in Early Modern Europe

Mathematical Practitioners and the Transformation of Natural Knowledge in Early Modern Europe
Author: Lesley B. Cormack
Publisher: Springer
Total Pages: 205
Release: 2017-03-15
Genre: Science
ISBN: 3319494309

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This book argues that we can only understand transformations of nature studies in the Scientific Revolution if we take seriously the interaction between practitioners (those who know by doing) and scholars (those who know by thinking). These are not in opposition, however. Theory and practice are end points on a continuum, with some participants interested only in the practical, others only in the theoretical, and most in the murky intellectual and material world in between. It is this borderland where influence, appropriation, and collaboration have the potential to lead to new methods, new subjects of enquiry, and new social structures of natural philosophy and science. The case for connection between theory and practice can be most persuasively drawn in the area of mathematics, which is the focus of this book. Practical mathematics was a growing field in early modern Europe and these essays are organised into three parts which contribute to the debate about the role of mathematical practice in the Scientific Revolution. First, they demonstrate the variability of the identity of practical mathematicians, and of the practices involved in their activities in early modern Europe. Second, readers are invited to consider what practical mathematics looked like and that although practical mathematical knowledge was transmitted and circulated in a wide variety of ways, participants were able to recognize them all as practical mathematics. Third, the authors show how differences and nuances in practical mathematics typically depended on the different contexts in which it was practiced: social, cultural, political, and economic particularities matter. Historians of science, especially those interested in the Scientific Revolution period and the history of mathematics will find this book and its ground-breaking approach of particular interest.


The Mathematical Experience, Study Edition

The Mathematical Experience, Study Edition
Author: Philip Davis
Publisher: Springer Science & Business Media
Total Pages: 522
Release: 2011-10-28
Genre: Mathematics
ISBN: 0817682953

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Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.


Historiography of Mathematics in the 19th and 20th Centuries

Historiography of Mathematics in the 19th and 20th Centuries
Author: Volker R. Remmert
Publisher: Birkhäuser
Total Pages: 282
Release: 2016-12-08
Genre: Mathematics
ISBN: 3319396498

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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.


The Seeress of Prevorst

The Seeress of Prevorst
Author: John DeSalvo
Publisher: Simon and Schuster
Total Pages: 215
Release: 2008-11-25
Genre: Body, Mind & Spirit
ISBN: 159477997X

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Prophecies of a 19th-century German mystic who spent seven years suspended between life and death • Focuses on the mysterious “language of the spirits” that the seeress spoke and wrote • Contains a biography of the Seeress of Prevorst’s life and illustrations of all known examples of her spiritual script and diagrams Known as the Seeress of Prevorst, Frederika Hauffe (1801-1829) was a German mystic and clairvoyant who was subject to convulsions and trances that caused her to remain bedridden from 1822 until her death seven years later. While in this state suspended between life and death, she received revelations from the spirit world about the triune doctrine of body, soul, and spirit, and she drew precise geometrical diagrams, often in complete darkness and with astonishing speed. The spirits of the dead were said to be in constant attendance on her and were even occasionally seen by others. Her most remarkable gift, however, was the ability to write and speak in what she called “the language of the spirits,” a unique coded alphabet that incorporated numbers and primitive ideographs. Using his scientific expertise to decode her secret language and diagrams, John DeSalvo examines the life and revelations of the Seeress of Prevorst and her importance in light of spiritual development over the nearly two centuries since her death. Preceding the rise of Spiritualism by two generations, the seeress’s prophecies and teachings threw open the door to the spirit world. With one foot in each world, her life and work offer a portal into mystical realms as fascinating today as in her own time.