As much of interest to mathematicians as it is to artists, as relevant to physics as to architecture, symmetry underlies almost every aspect of nature and our experience of the world. Illustrated with old engravings and original work by the author, this book moves from church windows and mirror reflections to the deepest ideas of hidden symmetries in physics and geometry, music and the arts, left- and right-handedness.
The Symposium ·Symmetries in Science VI: From the Rotation Group to Quantum Algebras· was held at the Cloister Mehrerau, Bregenz, Austria, during the period August 2-7, 1992. The Symposium was held in honor of Professor Lawrence C. Biedenharn on the occasion of his 70th birthday. During the academic year 1966/67 I worked as research associate with Larry at Duke University and we have ever since maintained close contact. It was thus natural for me to take the initiative and to organize this Symposium in honor of Larry as a great scientist and friend. The response which the Symposium received showed the favorable reaction by the scientific community to the opportunity provided by the Symposium to honor our colleague, teacher and friend. Equally, the scientific contributions contained in this volume illustrate the high esteem in which he is held. I wish to thank all the scientists who participated in the Symposium and who contributed to this volume. It is due to their commitment that the Symposium was successful. Finally I need to thank those who provided financial and logistical assistance to the Symposium: Dr. John H. Guyon, President of Southern Illinois University at Carbondale, Dr. Russell R. Dutcher, Dean, College of Science at SIUC, Dr. Maurice A. Wright, Chairman, Department of Physics, SIUC, Dr. Victoria J. Molfese, Office of Research Developement and Administration, SIUC, as well as Dr. Martin Purtscher, Landeshauptmann, Land Vorarlberg Dr. Guntram Lins, Landesrat, Land Vorarlberg.
Building on the foundation of the Second Edition, Symmetry and Structure: Readable Group Theory for Chemists, Third Edition turns the complex and potentially difficult subject of group theory into an accessible and readable account of this core area of chemistry. By using a diagrammatical approach and demonstrating the physical principles involved in understanding group theory, the text provides a non-mathematical, yet thorough, treatment of this broad topic. This new edition has been fully revised and updated to include a much more three-dimensional and accurate visualization of many of the key topics. The chapter on octahedral molecules is extended to cover the important topic of the ligand field theory of octahedral transition metal complexes. Problems and summaries are included at the end of each chapter, the book provides detailed answers to frequently asked questions, and numerous diagrams and tables are featured for ease of reading and to enhance student understanding. Symmetry and Structure: Readable Group Theory for Chemists, Third Edition is an essential textbook for all students, researchers and lecturers in chemistry, biochemistry, chemical engineering, physics and material science.
International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of "symmetry, covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.
Natures Mirror of Symmetry takes us beyond our normal 3D way of seeing and shows us a whole new dimension that few see. This dimension gives us a glimpse of the divine in everything including ourselves.We enter what I call the "hidden third", which is in the center of what is being mirrored through symmetry. There are archetypal images in this center that reappear over and over again that I talk about them and how they affect us
In this final work of his American trilogy, Nicholas Hagger focuses on the unified World State it is America's secret destiny to create, and on the world's divided culture that impedes its creation. Throughout world culture there are conflicting and entrenched metaphysical and secular approaches that permeate all its main disciplines, including history, philosophy and science, literature and comparative religion. In each discipline there is a tussle between the traditional religious view, which is supported by the 4.6 billion of the world's 7.3 billion population that follow a religion, and the secular and social approach associated with humanism and the scientific reductionism of Hawking and Dawkins, which sees the universe as a random accident. Hagger argues that it is America's secret destiny to bring in a democratic, UN-based, partly federal World State that can unify humankind. The conflict between metaphysical and secular approaches can be healed within a new reconciling philosophy that unites both outlooks, Universalism, which is already making an impact in the US. The key to this reconciliation is focusing on the scientific view of the order in the universe, and on the experience of the common essence which resides in all religions (the belief in the ordering Light), and on the traditional view of order in the seven disciplines of world culture. This reconciliation can reunify each discipline and therefore world culture, and create world unity. Restoring the metaphysical vision of order in world culture can strengthen Americ's harmonizing of humankind within a World State based on political Universalism.
From one of the greatest Russian writers of the past half century comes a metaphysical mystery novel that defies categorization and confounds expectation. Andrei Bitov's The Symmetry Teacher presents itself as the "echo" of an older British novel Bitov once read and had long forgotten. Unable even to recall the name of that novel's author, Bitov reconstructs its literary vision through the fog of memory, creating a group of stories nestled together like a matryoshka doll. In doing so, Bitov evokes the anxieties of the late and post-Soviet decades, confronting urgent questions of conscience and self-deception through an innovative style that revels in paradox and sleight of hand. Unified by the delightfully maddening search for the identity of a writer toiling in obscurity, The Symmetry Teacher takes us through a curious series of episodes: A man meets the devil on a park bench and the devil shows him photographs of the fall of Troy, Shakespeare's legs, and a terrible event that will take place in his future. A young poet fleeing his past is stranded on a windswept island and tormented by a lover and her shape-shifting evil twin. Three friends, unable to become writers, start a literary society where books and manuscripts are neither read nor returned and new members are accepted only if their work is unwritten. A king who reigns over all possible worlds and uses his power to remove stars from the sky turns out to be the compiler of the Encyclopædia Britannica. Writing with impish daring, Bitov crafts an enchanting fiction from interwoven fables. The result challenges the boundaries between life and literature, author and reader, and memory and imagination, exploring the sacrifices that a writer may make out of ardor for his art. Mingling fantasy and satire with moral concern, Bitov is a deserving heir to the tradition of Gogol, Dostoevsky, and Bulgakov. The Symmetry Teacher showcases the work of a postmodern master at the height of his craft.
This book covers the present status of art of grand unification with and without supersymmetry (gravity), including cosmological consequences. It is addressed to graduate students and researchers interested in this fastly developing field. But without necessarily any previous experience, however, at least some parts of the book and, in particular, those concerning the most recent developments, are of interest to actively involved researchers in the field.
First published in 1973, The Symmetrical Family combines evidence about the family of the past with information from a sociological survey in the London region and uses both as the basis for a speculative discussion about the future. The argument is that a new style of family life has emerged. Its basis is not equality between husbands and wives but at least something approaching symmetry: increasingly wives work outside the home and husbands inside it. The new family is itself under increasing pressure. Contrary to the popular view, there is yet no sign of a general increase in leisure. In some occupations work is dominant and becoming more so; at the same time the proportions of people in such jobs, though still in the minority, are expanding. The growing demand of wives for paid work outside the home means that in place of two jobs, one for the husband and one for the wife, there will often be four, with both working inside as well as outside the home. How long will people be able to bear the consequent strain? In a final chapter the authors discuss what they think will happen unless people decide quite deliberately, to reduce the pressure upon themselves and their children. This book will be of interest to students of sociology, health, social care, anthropology and public policy.
Potentiality, Entanglement and Passion-at-a-Distance is a book for theoretical physicists and philosophers of modern physics. It treats a puzzling and provocative aspect of recent quantum physics: the apparent interaction of certain physical events that cannot share any causal connection. These are said to be `entangled' in some way, but an explanation remains elusive. Abner Shimony - to whom the book is dedicated - and others suggest the need to revive the category of what may be seen as a metaphysical potentiality. Abner has described these events without actions to link them as `passion at a distance': not active, but passive. The discussions gathered here are written by a truly remarkable cast of scientists and philosophers and shed new light on the most profound puzzles of our times.
