Three Spheres
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Invariants of Homology 3-Spheres
Author | : Nikolai Saveliev |
Publisher | : Springer Science & Business Media |
Total Pages | : 229 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3662047055 |
The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. The text will be a valuable source for both the graduate student and researcher in mathematics and theoretical physics.
Heaven, Earth, & Humankind: Three Spheres, Three Light Cycles, Three Modes
Author | : William Wadsworth |
Publisher | : Xlibris Corporation |
Total Pages | : 151 |
Release | : 2015-04-23 |
Genre | : Body, Mind & Spirit |
ISBN | : 1503560988 |
Heaven, Earth, and Humankind, Volumes I through IV was inspired by a dream in which I witnessed the collision of two worlds, one red and one green, the red cube was the dragon of Chinese Medical Philosophy, the green globe was the holistic cosmos that I already knew well through tropical astrology. The outcome of this dream was this book that integrates the two systems, and illuminates the core they share. Behind every aspect of human experience we find the influence of light and darkness both as a reality and metaphor. Three great cycles of light and darkness govern experience: the seasonal cycle, the waxing and waning of the moon, and the emergence and retreat of daylight. These three cycles connect directly to the triune principle in Chinese philosophy that differentiates three aspects of human endeavor: spirit, body, and social life. Heaven and earth seem to form a polarity. When they interact, they produce all the multifarious form of life near the surface of the earth. The whole ever remains a unity. Heaven floods the earth with both solar and celestial energy. The earth responds to that influx by producing living forms on its surface. The horizon line of the celestial chart symbolizes this plane where energy and matter interact. From this we can assess where a persons focus is and how they balance the three different aspects of human experience. Human beings are thefinest expression of heaven and earth, if and only if we harmonize with the great cycles of light. In Volume IV I connect this core wisdom from Chinese sages with the astrological idea of the three modes of tropical astrology This volume continues the holistic and cyclic approach to astrology developed in the previous three volumes and culminates in a detailed description of the effect of the Sun, Moon, or Horizon in each zodiac sign. Each sign has a mode and the mode has affinity either with heaven and the sun, earth and the moon, or the ascendant and human affairs. The mutable signs are aligned with the sphere of the ecliptic and the mutable mode. Heaven, Earth, and Humankind maps a path to understanding why astrology works in terms that anyone can understand. The operative power of astrology is the three light cycles as all the ancients understood. We have lost the wisdom, but that lost wisdom is recovered somewhat in this valuable book. How is our human experience connected to the greater life of the cosmos?Our answer depends on our degree of self-realization, and we cannot truly know ourselves unless we understand how we feel and react to the cycles of heaven. This book brings some traditional wisdom into focus to help us with these fundamental questions about how to live well.
Casson's Invariant for Oriented Homology Three-Spheres
Author | : Selman Akbulut |
Publisher | : Princeton University Press |
Total Pages | : 201 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 1400860628 |
In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Fundamentals of Amorphous Solids
Author | : Zbigniew H. Stachurski |
Publisher | : John Wiley & Sons |
Total Pages | : 274 |
Release | : 2015-01-30 |
Genre | : Technology & Engineering |
ISBN | : 3527682198 |
Long awaited, this textbook fills the gap for convincing concepts to describe amorphous solids. Adopting a unique approach, the author develops a framework that lays the foundations for a theory of amorphousness. He unravels the scientific mysteries surrounding the topic, replacing rather vague notions of amorphous materials as disordered crystalline solids with the well-founded concept of ideal amorphous solids. A classification of amorphous materials into inorganic glasses, organic glasses, glassy metallic alloys, and thin films sets the scene for the development of the model of ideal amorphous solids, based on topology- and statistics-governed rules of three-dimensional sphere packing, which leads to structures with no short, mid or long-range order. This general model is then concretized to the description of specific compounds in the four fundamental classes of amorphous solids, as well as amorphous polyethylene and poly(methyl)methacrylate, emphasizing its versatility and descriptive power. Finally, he includes example applications to indicate the abundance of amorphous materials in modern-day technology, thus illustrating the importance of a better understanding of their structure and properties. Equally ideal as supplementary reading in courses on crystallography, mineralogy, solid state physics, and materials science where amorphous materials have played only a minor role until now.
Foundations of Clinical Nurse Specialist Practice
Author | : Dr. Janet S. Fulton PhD, RN |
Publisher | : Springer Publishing Company |
Total Pages | : 491 |
Release | : 2009-10-16 |
Genre | : Medical |
ISBN | : 0826110681 |
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Philosophy as Absolute Science
Author | : Ephraim Langdon Frothingham |
Publisher | : University of Michigan Library |
Total Pages | : 490 |
Release | : 1864 |
Genre | : History |
ISBN | : |
Higher Geometry
Author | : Frederick Woods |
Publisher | : Applewood Books |
Total Pages | : 436 |
Release | : 2012-03 |
Genre | : Reference |
ISBN | : 1458500012 |