Knots Braids And Mobius Strips Particle Physics And The Geometry Of Elementarity An Alternative View

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Knots Braids And Mobius Strips Particle Physics And The Geometry Of Elementarity An Alternative View

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Author : Jack Shulman Avrin
language : en
Publisher: World Scientific
Release Date : 2015-03-13

Knots Braids And Mobius Strips Particle Physics And The Geometry Of Elementarity An Alternative View written by Jack Shulman Avrin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-13 with Mathematics categories.

Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assumptions and the importation of parameter values. The emphasis of the book is thus on that geometry, the algebraic geometry associated with taxonomical issues and the differential geometry that determines the physics as well as on simplifying the results. In itself, however, the process of assembling and developing what eventually went into the book has been a singularly rewarding journey. Along the way some fascinating insights and connections to known physical attributes and theories emerge, some predictable but others unbidden and even unanticipated. The book is intended to summarize that journey in a way that, readers with a range of backgrounds will find interesting and provocative. Connections to other physical theories and subjects are also discussed. A most gratifying development is the emergence of a unifying principle underlying the epistemological structure of not only the elementary particles but of such diverse fields as Radar, Quantum mechanics, Biology, Cosmology and the Philosophy of science.

Knots Braids And M Bius Strips

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Author : Jack Avrin
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2015

Knots Braids And M Bius Strips written by Jack Avrin and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.

Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assumptions and the importation of parameter values. The emphasis of the book is thus on that geometry, the algebraic geometry associated with taxonomical issues and the differential geometry that determines the physics as well as on simplifying the results. In itself, however, the process of assembling and developing what eventually went into the book has been a singularly rewarding journey. Along the way some fascinating insights and connections to known physical attributes and theories emerge, some predictable but others unbidden and even unanticipated. The book is intended to summarize that journey in a way that, readers with a range of backgrounds will find interesting and provocative. Connections to other physical theories and subjects are also discussed. A most gratifying development is the emergence of a unifying principle underlying the epistemological structure of not only the elementary particles but of such diverse fields as Radar, Quantum mechanics, Biology, Cosmology and the Philosophy of science.

The Knot Book

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Author : Colin Conrad Adams
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

The Knot Book written by Colin Conrad Adams and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

How Surfaces Intersect In Space

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Author : J. Scott Carter
language : en
Publisher: World Scientific
Release Date : 1995

How Surfaces Intersect In Space written by J. Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.

This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.

String Theory For Dummies

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Author : Andrew Zimmerman Jones
language : en
Publisher: John Wiley & Sons
Release Date : 2009-10-22

String Theory For Dummies written by Andrew Zimmerman Jones and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-22 with Science categories.

A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.

Introduction To The Theory Of Soft Matter

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Author : Jonathan V. Selinger
language : en
Publisher: Springer
Release Date : 2015-08-19

Introduction To The Theory Of Soft Matter written by Jonathan V. Selinger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-19 with Science categories.

This book presents the theory of soft matter to students at the advanced undergraduate or beginning graduate level. It provides a basic introduction to theoretical physics as applied to soft matter, explaining the concepts of symmetry, broken symmetry, and order parameters; phases and phase transitions; mean-field theory; and the mathematics of variational calculus and tensors. It is written in an informal, conversational style, which is accessible to students from a diverse range of backgrounds. The book begins with a simple “toy model” to demonstrate the physical significance of free energy. It then introduces two standard theories of phase transitions—the Ising model for ferromagnetism and van der Waals theory of gases and liquids—and uses them to illustrate principles of statistical mechanics. From those examples, it moves on to discuss order, disorder, and broken symmetry in many states of matter, and to explain the theoretical methods that are used to model the phenomena. It concludes with a chapter on liquid crystals, which brings together all of these physical and mathematical concepts. The book is accompanied online by a set of “interactive figures”—some allow readers to change parameters and see what happens to a graph, some allow readers to rotate a plot or other graphics in 3D, and some do both. These interactive figures help students to develop their intuition for the physical meaning of equations. This book will prepare advanced undergraduate or early graduate students to go into more advanced theoretical studies. It will also equip students going into experimental soft matter science to be fully conversant with the theoretical aspects and have effective collaborations with theorists.

Knots And Physics

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Author : Louis H. Kauffman
language : en
Publisher: World Scientific
Release Date : 1991

Knots And Physics written by Louis H. Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

This book is an introductory explication on the theme of knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of the knot theory, coupled with a quantum statistical frame work create a context that naturally and powerfully includes an extraordinary range of interelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward the knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related with and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics, knots in dynamical systems.

Transdisciplinarity In Mathematics Education

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Author : Limin Jao
language : en
Publisher: Springer
Release Date : 2017-10-15

Transdisciplinarity In Mathematics Education written by Limin Jao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-15 with Education categories.

The book explores various facets of transdisciplinarity in mathematics education and its importance for research and practice. The book comprehensively outlines the ways that mathematics interacts with different disciplines, world views, and contexts; these topics include: mathematics and the humanities, the complex nature of mathematics education, mathematics education and social contexts, and more. It is an invaluable resource for mathematics education students, researchers, and practitioners seeking to incorporate transdisciplinarity into their own practice.

Black Holes In Higher Dimensions

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Author : Gary T. Horowitz
language : en
Publisher: Cambridge University Press
Release Date : 2012-04-19

Black Holes In Higher Dimensions written by Gary T. Horowitz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-19 with Science categories.

The first book devoted to black holes in more than four dimensions, for graduate students and researchers.

Formal Knot Theory

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Author : Louis H. Kauffman
language : en
Publisher:
Release Date : 1983

Formal Knot Theory written by Louis H. Kauffman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

The Description for this book, Formal Knot Theory. (MN-30): , will be forthcoming.