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This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Engaging Young Students in Mathematics through Competitions presents a wide range of topics relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment. Following the earlier two volumes, contributors explore a wide variety of fascinating problems of the type often presented at mathematics competitions. In this new third volume, many chapters are directly related to the challenges involved in organizing competitions under Covid-19, including many positive aspects resulting from the transition to online formats. There are also sections devoted to background information on connections between the mathematics of competitions and their organization, as well as the competitions' interplay with research, teaching and more.The various chapters are written by an international group of authors involved in problem development, many of whom were participants of the 9th Congress of the World Federation of National Mathematics Competitions in Bulgaria in 2022. Together, they provide a deep sense of the issues involved in creating such problems for competition mathematics and recreational mathematics.
This book presents the first well-preserved set of sympotic pottery which served a Late Archaic house in the Athenian Agora. The deposit contains household and fine-ware pottery, nearly all the figured pieces of which are forms associated with communal drinking. Since it comes from a single house, the pottery also reflects purchasing patterns and thematic preferences of the homeowner. The multifaceted approach adopted in this book shows that meaning and use are inherently related, and that through archaeology one can restore a context of use for a class of objects frequently studied in isolation. Winner of the 2013 James R. Wiseman Book Award given by the Archaeological Institute of America.
Understanding Greek Religion is one of the first attempts to fully examine any religion from a cognitivist perspective, applying methods and findings from the cognitive science of religion to the ancient Greek world. In this book, Jennifer Larson shows that many of the fundamentals of Greek religion, such as anthropomorphic gods, divinatory procedures, purity beliefs, reciprocity, and sympathetic magic arise naturally as by-products of normal human cognition. Drawing on evidence from across the ancient Greek world, Larson provides detailed coverage of Greek theology and local pantheons, rituals including processions, animal sacrifice and choral dance, and afterlife beliefs as they were expre...
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Based on the archaeological context of the vessels, this book offers an overview of the production and distribution of early Attic black-figured pottery until the end of the first quarter of the sixth century B.C., aiming at an afresh approach to early Archaic Attika.
Hunting and its imagery continued to play a significant role in archaic and classical Greece long after hunting had ceased being a necessity for survival in everyday life. Drawing on vase paintings, sculpture, inscriptions, and other literary evidence, Judith Barringer reexamines the theme of the hunt and shows how the tradition it depicts helped maintain the dominance of the ruling social groups. Along with athletics and battle, hunting was a defining activity of the masculine aristocracy and was crucial to the efforts of the Athenian elite to control the social agenda, even as their political power declined. The Hunt in Ancient Greece examines descriptions of hunting in initiation rituals as well as the ideals of masculinity and adulthood such rites of passage promoted. Barringer argues that depictions of the hunt in literature and art also served as striking metaphors for the intricacies of courtship, shedding light on sexuality and gender roles. Through an exploration of various representations of the hunt, Barringer provides extraordinary insight into Athenian society.
How useful is the concept of "network" for historical studies and the ancient world in particular? Using theoretical models of social network analysis, this book illuminates aspects of the economic, social, religious, and political history of the ancient Greek and Roman worlds. Bringing together some of the most active and prominent researchers in ancient history, this book moves beyond political institutions, ethnic, and geographical boundaries in order to observe the ancient Mediterranean through a perspective of network interaction. It employs a wide range of approaches, and to examine relationships and interactions among various social entities in the Mediterranean. Chronologically, the book extends from the early Iron Age to the late Antique world, covering the Mediterranean between Antioch in the east to Massalia (Marseilles) in the west. This book was published as two special issues in Mediterranean Historical Review.