Roger Hart - Böcker

In this compelling mix of high adventure and intellectual quest, a renowned scientist relates his near-death experience on Mount Everest - and how it led him to a lifelong search for the nature of reality. After a horrifying accident in which he literally fell of the face of the world's tallest mountain, Dr. Roger Hart embarked upon an intellectual and spiritual journey that would take him across the globe and through events that changed him forever - a journey that is vividly captured here.

A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years. Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts-the classic ancient Chinese mathematics text-and the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards.By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions. Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.

Accounts of the seventeenth-century Jesuit Mission to China have often celebrated it as the great encounter of two civilizations. The Jesuits portrayed themselves as wise men from the West who used mathematics and science in service of their mission. Chinese literati-official Xu Guangqi (1562-1633), who collaborated with the Italian Jesuit Matteo Ricci (1552-1610) to translate Euclid's Elements into Chinese, reportedly recognized the superiority of Western mathematics and science and converted to Christianity. Most narratives relegate Xu and the Chinese to subsidiary roles as the Jesuits' translators, followers, and converts. Imagined Civilizations tells the story from the Chinese point of view. Using Chinese primary sources, Roger Hart focuses in particular on Xu, who was in a position of considerable power over Ricci. The result is a perspective startlingly different from that found in previous studies. Hart analyzes Chinese mathematical treatises of the period, revealing that Xu and his collaborators could not have believed their declaration of the superiority of Western mathematics. Imagined Civilizations explains how Xu's West served as a crucial resource.While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.

Urban authorities and organizations are responsible for providing the basic services that affect the lives of urban children. Cities for Children is intended to help them understand and respond to the rights and requirements of children and adolescents. It looks at the responsibilities that authorities face, and discusses practical measures for meeting their obligations in the context of limited resources and multiple demands. While the book emphasizes the challenges faced by local government, it also contains information that would be useful to any groups working to make urban areas better places for children.Cities for Children begins by introducing the concept, history and content of children's rights and the obligations they create for local authorities. The volume then goes on to look at a variety of contentious issues such as housing, community participation, working children, community health, education and juvenile justice. The final section of the book discusses the challenge of establishing systems of governance that can promote the economic security, social justice and environmental care essential for the realization of children's rights. It follows through the practical implications for the structure, policies and practices of local authorities.Written by the top experts in the field of children's issues, and including a resource section which lists publications and organizations that can provide further information and support, this volume is a must for all involved in planning for, and the protection of, children within the urban environment.