In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
No matter what forests are used for, forest managers have to deal with interactions between individual trees and between trees and other forest organisms. To understand these interactions, long-term monitoring of spontaneous forest development is necessary. A complete monitoring system has been developed including a computer package for analysis of long-term observation of forest dynamics. The system's name, "SILVI-STAR", is an acronym of SILVIgenesis and Single-tree Three-dimensional Architecture. A method of nested plot data collection on forest architecture and plant species composition has been developed out for monitoring purposes.
Man has had a complex relationship with inland drift sands through the ages. For some centuries these landscapes were seen as a threat, especially to agriculture and housing. This book considers the processes, origin, conservation and restoration of this very special but harsh biotope, one that is characterised by fields of lichens with sparse grasses and heather alongside a range of special animal, fungi and plant species. • Part 1 - Drift sand landscapes of NW Europe • Part 2 - Microclimate and soil development • Part 3 - Ecosystem succession on drift sands • Part 4 - Forestation of drift sands • Part 5 - Practical implications
What can managers around the globe learn from the indigenous African term ""Ubuntu"" (humane-ness)?For the first time ever, ""African management"" advocates, interpretative scholars, and academic skeptics, are brought together in a unique book, displaying the richness of the debate on Afrocentric management vision. This debate is characterized by polarization, cultural protest, emancipatory aspiration, mystification and opportunism. Prophecies and Protests offers a broad spectrum of remarkably diverse views from different backgrounds, and could be seen as an important step to foster the dialogue between protagonists and critics, between practitioners and academics. Especially today, the central theme of the book is relevant, in an era of worldwide cultural diffusion, and a longing for authenticity and romanticized histories.
The book will be of interest to scientists, researchers and students in demography and applied demography, statistics, economy, social geography and urban and regional planning and science studies."--BOOK JACKET.
This book discusses the concept of the self-convincing authority of Scripture in the historical development of Reformed theology and advocates an emphasis on the autopistia in a postmodern context, because truth and trust are inseparable.
This is the first full-scale analysis of the social and political transformation of the nobility of Holland during the revolt against Spain in the sixteenth and seventeenth centuries. In the age of Rembrandt, nobles seemed to have been obliterated by the rising bourgeois merchants. However, in this study of the impact of the Dutch revolt, the author finds that Dutch nobles were extremely successful in maintaining their positions within the supposedly bourgeois Republic, forming the elite in administrative, political and economic systems. This is a revised edition of van Nierop's widely acclaimed Dutch publication.
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
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