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The theorem of Pythagoras, Euclid's "Elements", Archimedes' method to find the volume of a sphere: all parts of the invaluable legacy of ancient mathematics. But ancient mathematics was also about counting and measuring, surveying land and attributing mystical significance to the number six. This volume offers the first accessible survey of the discipline in all its variety and diversity of practices. The period covered ranges from the fifth century BC to the sixth century AD, with the focus on the Mediterranean region. Topics include: * mathematics and politics in classical Greece * the formation of mathematical traditions * the self-image of mathematicians in the Graeco-Roman period * mathematics and Christianity * and the use of the mathematical past in late antiquity.
This book is at once an analytical study of one of the most important mathematical texts of antiquity, the Mathematical Collection of the fourth-century AD mathematician Pappus of Alexandria, and also an examination of the work's wider cultural setting. An important first chapter looks at the mathematicians of the period and how mathematics was perceived by people at large. The central chapters of the book analyse sections of the Collection, identifying features typical of Pappus's mathematical practice. The final chapter draws together the various threads and presents a fuller description of Pappus's mathematical 'agenda'. This is one of few books to deal extensively with the mathematics of Late Antiquity. It sees Pappus's text as part of a wider context and relates it to other contemporary cultural practices and opens avenues to research into the public understanding of mathematics and mathematical disciplines in antiquity.
This book uses five case-studies to set ancient technical knowledge in its political, social and intellectual context.
This collection brings together leading anthropologists, historians, philosophers, and artificial-intelligence researchers to discuss the sciences and mathematics used in various Eastern, Western, and Indigenous societies, both ancient and contemporary. The authors analyze prevailing assumptions about these societies and propose more faithful, sensitive analyses of their ontological views about reality—a step toward mutual understanding and translatability across cultures and research fields. Science in the Forest, Science in the Past is a pioneering interdisciplinary exploration that will challenge the way readers interested in sciences, mathematics, humanities, social research, computer sciences, and education think about deeply held notions of what constitutes reality, how it is apprehended, and how to investigate it.
A Companion to Science, Technology, and Medicine in Ancient Greece and Rome brings a fresh perspective to the study of these disciplines in the ancient world, with 60 chapters examining these topics from a variety of critical and technical perspectives. Brings a fresh perspective to the study of science, technology, and medicine in the ancient world, with 60 chapters examining these topics from a variety of critical and technical perspectives Begins coverage in 600 BCE and includes sections on the later Roman Empire and beyond, featuring discussion of the transmission and reception of these ideas into the Renaissance Investigates key disciplines, concepts, and movements in ancient science, technology, and medicine within the historical, cultural, and philosophical contexts of Greek and Roman society Organizes its content in two halves: the first focuses on mathematical and natural sciences; the second focuses on cultural applications and interdisciplinary themes 2 Volumes
Modern risk studies have viewed the inhabitants of the ancient world as being both dominated by fate and exposed to fewer risks, but this very readable and groundbreaking new book challenges these views. It shows that the Romans inhabited a world full of danger and also that they not only understood uncertainty but employed a variety of ways to help to affect future outcomes. The first section focuses on the range of cultural attitudes and traditional practices that served to help control risk, particularly among the non-elite population. The book also examines the increasingly sophisticated areas of expertise, such as the law, logistics and maritime loans, which served to limit uncertainty in a systematic manner. Religious expertise in the form of dream interpretation and oracles also developed new ways of dealing with the future and the implicit biases of these sources can reveal much about ancient attitudes to risk.
This is the first major history of Imperial College London. The book tells the story of a new type of institution that came into being in 1907 with the federation of three older colleges. Imperial College was founded by the state for advanced university-level training in science and technology, and for the promotion of research in support of industry throughout the British Empire. True to its name the college built a wide number of Imperial links and was an outward looking institution from the start. Today, in the post-colonial world, it retains its outward-looking stance, both in its many international research connections, and with staff and students from around the world. Connections to industry and the state remain important. The College is one of Britain's premier research and teaching institutions, including now medicine alongside science and engineering. This book is an in-depth study of Imperial College; it covers both governance and academic activity within the larger context of political, economic and socio-cultural life in twentieth-century Britain./a
A comprehensive guide to mathematics with over 200 entries divided thematically.
These essays offer scholars, teachers, and students a new basis for discussing attitudes toward, and technological expertise concerning, water in antiquity through the early Modern period, and they examine historical water use and ideology both diachronically and cross regionally. Topics include gender roles and water usage; attitudes, practices, and innovations in baths and bathing; water and the formation of identity and policy; ancient and medieval water sources and resources; and religious and literary water imagery. The authors describe how ideas about the nature and function of water created and shaped social relationships, and how religion, politics, and science transformed, and were ...
The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics.