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The first complete edition of the writings of James Braid, the man who coined the term "hypnotism" and founded hypnotherapy. Also includes Braid's "lost manuscript," written just before his death, in which he reviews his life's work for the French Academy of Sciences. Excerpts from the writings of his most devoted follower, Dr. John Milne Bramwell, are also included, which describe Braid's life and work. The current editor provides detailed prefatory essays and commentary for the modern reader.
This book presents a guide to the art of braiding, providing a sense of the history of the many braiding styles that have become a staple in American culture. Also included are styles for adults and children and basic braiding techniques.
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'What is a self and how can a self come out of inanimate matter?' This is the riddle that drove Douglas Hofstadter to write this extraordinary book. In order to impart his original and personal view on the core mystery of human existence - our intangible sensation of 'I'-ness - Hofstadter defines the playful yet seemingly paradoxical notion of 'strange loop', and explicates this idea using analogies from many disciplines.
The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane and sphere. In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem. After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems. Chapter 3 offers discussion of matrix representations of the free group and of subgroups of the automorphism group of the free group. These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief discussion of the theory of "plats." Research problems are included in an appendix.