This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.

Archytas of Tarentum is one of the three most important philosophers in the Pythagorean tradition, a prominent mathematician, who gave the first solution to the famous problem of doubling the cube, an important music theorist, and the leader of a powerful Greek city-state. He is famous for sending a trireme to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361 BC. This 2005 study was the first extensive enquiry into Archytas' work in any language. It contains original texts, English translations and a commentary for all the fragments of his writings and for all testimonia concerning his life and work. In addition there are introductory essays on Archytas' life and writings, his philosophy, and the question of authenticity. Carl A. Huffman presents an interpretation of Archytas' significance both for the Pythagorean tradition and also for fourth-century Greek thought, including the philosophies of Plato and Aristotle.

Naum Gabo (1890-1977), whose eventful life took him from his native Russia to Berlin, Paris, London, and finally the United States, achieved renown as one of the most inventive and controversial figures in twentieth-century sculpture. This book is the first comprehensive account of Gabo's life, career, and artistic theory and practice. Martin Hammer and Christina Lodder explore in detail the evolution of the artist's work and his aesthetic concerns, creative processes, assimilation of such new materials as plastic, and approach to public sculpture. The authors also examine his response to the scientific and political revolutions of his age and trace the origins and development of Gabo's utopian conviction that Constructivist art was profoundly in tune with modernity, social progress, and advances in science and technology. Drawing on Gabo's extensive and largely unpublished archives of letters, diaries, notebooks, models, and sketchbooks, Hammer and Lodder discuss the sculptor's work in the context of his relations with other avant-garde artists, architects, and critics, including his brother Antoine Pevsner. They also situate his aesthetic theory and practice within the Constructi

This book is an essential text for researchers and academics seeking the most comprehensive and up-to-date coverage of all aspects of e-learning and ICT in education, providing expanded peer-reviewed content from research presented at the 10th Panhellenic Conference on ICT in Education. The volume includes papers covering technical, pedagogical, organizational, instructional, as well as policy aspects of ICT in Education and e-Learning, and emphasizes applied research relevant to the educational realities in schools, colleges, universities and informal learning organizations. Research on e-Learning and ICT in Education is a valuable resource for education professionals interested in keeping up with current trends, perspectives, and approaches determining e-Learning and ICT integration in practice, including learning and teaching, curriculum and instructional design, learning media and environments, teacher education and professional development.

This book provides a detailed overview of recent advances in the captivating world of quantum dots and outlines some possible imminent new directions for this important field. A variety of advanced techniques is rapidly developing in the application of quantum dots to solar photovoltaics, LEDs, quantum computing (qubits) and different biological spheres. The book presents, discusses and compares devices based on state-of-the-art structures, incipient material and new physical effects. Improved efficiency and reliability in these fields are already pointing the way to next-generation devices, especially in the nano regime. This book is addressed to students and scientists working in the field of quantum dots and progressive technologies.

Mechanics has long been recognized as the pivotal science in the decline of Aristotelian natural philosophy and the rise of the new, mathematical physics of the Scientific Revolution. Less well known, however, is the earlier transformation of mechanics from a practical art into a theoretical and mathematical science. This transformation was occasioned by the recovery of the pseudo-Aristotelian Mechanical Problems and its assimilation in the course of the sixteenth century to the Aristotelian model of the subalternate or middle sciences, which deal with natural subject matter but draw their principles from geometry or arithmetic. In his Dialogue on Mechanics, Giuseppe Moletti made the most explicit and thoroughgoing attempt to determine the geometrical principles of Aristotelian mechanics, to establish its Euclidean foundations, and so to realize in fact the subalternation of mechanics to geometry. Having done this in the First Day, he then set out in the Second to extend mechanics generally to explain all motions through the analysis of their forces and resistances. In the process he anticipated Galileo in asserting that all heavy bodies, whatever their weights, fall with equal speeds, and he realized that the same resistance that makes a body hard to move also makes it hard to stop – which is almost the law of inertia. Written in dialogue form in Italian (rather than in Latin) for a courtly and practical audience, the Dialogue was left unfinished when Moletti quit the Gonzaga court at Mantua to take up the mathematics chair at the University of Padua. Never before published except for brief extracts, the full Italian text is edited from the manuscripts and printed here for the first time, together with a facing-page English translation. The extensive notes that accompany the text cite and quote from a number of Moletti's other, mostly unpublished, works and his numerous sources. In his introduction, W.R. Laird sets the Dialogue within the historical background of medieval and Renaissance mechanics, sketches the life and works of Moletti, and analyses the arguments and the geometrical theorems of the Dialogue. The Unfinished Mechanics of Giuseppe Moletti offers an unprecedented look at the transformation of Aristotelian mechanics into a mathematical science in the generation before Galileo.

This book is a thoroughly revised result, updated to mid-1995, of the NATO Advanced Research Workshop on "Intelligent Learning Environments: the case of geometry", held in Grenoble, France, November 13-16, 1989. The main aim of the workshop was to foster exchanges among researchers who were concerned with the design of intelligent learning environments for geometry. The problem of student modelling was chosen as a central theme of the workshop, insofar as geometry cannot be reduced to procedural knowledge and because the significance of its complexity makes it of interest for intelligent tutoring system (ITS) development. The workshop centred around the following themes: modelling the knowledge domain, modelling student knowledge, design ing "didactic interaction", and learner control. This book contains revised versions of the papers presented at the workshop. All of the chapters that follow have been written by participants at the workshop. Each formed the basis for a scheduled presentation and discussion. Many are suggestive of research directions that will be carried out in the future. There are four main issues running through the papers presented in this book: • knowledge about geometry is not knowledge about the real world, and materialization of geometrical objects implies a reification of geometry which is amplified in the case of its implementation in a computer, since objects can be manipulated directly and relations are the results of actions (Laborde, Schumann). This aspect is well exemplified by research projects focusing on the design of geometric microworlds (Guin, Laborde).