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Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama."--Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."--Science
This textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics. The physical applications are considered as the mathematical theory is developed so that the presentation is unusually cohesive and well-motivated. Many modern topics are dealt with, and there is much discussion of the group SU(n) and its representations. This is of great significance in elementary particle physics. Applications to solid state physics are also considered. This stimulating account will prove to be an essential resource for senior undergraduate students and their teachers.
From tribal religious rituals to the Playboy mansion, and from ancient Rome to Burning Man, Plays Well in Groups explores the phenomenon of group sex. Author Katherine Frank draws on surveys, ethnographic research, participant interviews, and more to provide explanations for both, participation in group sex and our complex reactions to it, from fascination to fear. This book looks at group sex across cultures—who has it, and why. Group sex is almost always taboo and often criminalized, and yet it persists across cultures throughout history. Plays Well in Groups looks at the symbolism of orgies, as well as contemporary manifestations of group sex in bathhouses and public sex venues, at BDSM and swinging parties, on Craigslist, and in political scandals, Tantra classes, reality television, and more. Frank explores the many reasons people participate in group sex, from arousal to spiritual transcendence, in this bold study of subversive sexuality.
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.
This important, pioneering book collates our knowledge of large groups, both at a theoretical and practical level. Thirteen distinguished contributors offer experiences from a wide range of disciplines and settings. Roughly half the chapters are psychoanalytic in their orientation; other contributions derive from general psychiatry, sociology, anthropology and industrial psychology.The place of large-group therapy is still to be defined, but it is hoped that this book will contribute to the careful and detailed assessment that is necessary to fulfill its evaluation.
The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist
First Published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.
This book attempts to draw together a theory of the unconscious dynamics of groups and how these interact in powerful ways with geography, technology and psychological development. The argument is made that powerful forces operating outside of awareness shape and are shaped by geographical factors (spatiality). Further, the idea is forwarded that technology, which is unevenly distributed spatially and has potent unconscious meanings, is a largely unrecognized and potent vector in shaping human interactional dynamics at both overt and covert levels. Finally these complex interactions are yoked to Dabrowski’s theory of positive disintegration, which again offers another useful explanatory perspective. Process notes on a psychodynamically-oriented large group with persons carrying diagnoses of severe mental illness are appended and there are notes on the Discourse of the Clown and Derrida’s “differance”.
This first volume of clasic articles by the Glasgow University Media Group focuses on issues of news content, language and the role of visual images in news reporting. It also includes an introduction to the Group's work by John Eldridge.