Geometry And Topology Of Low Dimensional Systems
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Geometry And Topology Of Low Dimensional Systems
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Author : T. R. Govindarajan
language : en
Publisher: Springer Nature
Release Date : 2024-09-16
Geometry And Topology Of Low Dimensional Systems written by T. R. Govindarajan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-16 with Science categories.
This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional systems. The authors discuss applications in various areas of physics. The first chapters of the book cover the formal aspects of topology, including classes, homotopic groups, metric spaces, and Riemannian and pseudo-Riemannian geometry. These topics are essential for understanding the theoretical concepts and notations used in the next chapters of the book. The applications encompass defects in crystalline structures, space topology, spin statistics, Braid group, Chern-Simons field theory, and 3D gravity, among others. This self-contained book provides all the necessary additional material for both physics and mathematics students. The presentation is enriched with examples and exercises, making it accessible for readers to grasp the concepts with ease. The authors adopt a pedagogical approach, posing many unsolved questions in simple situations that can serve as challenging projects for students. Suitable for a one-semester postgraduate level course, this text is ideal for teaching purposes.
Geometry And Topology Of Low Dimensional Systems
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Author : Ramadevi Pichai
language : en
Publisher: Springer
Release Date : 2024-07-11
Geometry And Topology Of Low Dimensional Systems written by Ramadevi Pichai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-11 with Science categories.
This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional systems. The authors discuss applications in various areas of physics. The first chapters of the book cover the formal aspects of topology, including classes, homotopic groups, metric spaces, and Riemannian and pseudo-Riemannian geometry. These topics are essential for understanding the theoretical concepts and notations used in the next chapters of the book. The applications encompass defects in crystalline structures, space topology, spin statistics, Braid group, Chern-Simons field theory, and 3D gravity, among others. This self-contained book provides all the necessary additional material for both physics and mathematics students. The presentation is enriched with examples and exercises, making it accessible for readers to grasp the concepts with ease. The authors adopt a pedagogical approach, posing many unsolved questions in simple situations that can serve as challenging projects for students. Suitable for a one-semester postgraduate level course, this text is ideal for teaching purposes.
Selected Applications Of Geometry To Low Dimensional Topology
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Author : Michael H. Freedman
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
Selected Applications Of Geometry To Low Dimensional Topology written by Michael H. Freedman 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 1990 with Mathematics categories.
Based on lectures presented at Pennsylvania State University in February 1987, this work begins with the notions of manifold and smooth structures and the Gauss-Bonnet theorem, and proceeds to the topology and geometry of foliated 3-manifolds. It also explains why four-dimensional space has special attributes.
Intelligence Of Low Dimensional Topology 2006
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Author : J Scott Carter
language : en
Publisher: World Scientific
Release Date : 2007-05-29
Intelligence Of Low Dimensional Topology 2006 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 2007-05-29 with Mathematics categories.
This volume gathers the contributions from the international conference “Intelligence of Low Dimensional Topology 2006,” which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.
Three Dimensional Geometry And Topology
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Author : William P. Thurston
language : en
Publisher: Princeton University Press
Release Date : 1997
Three Dimensional Geometry And Topology written by William P. Thurston and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Every mathematician should be acquainted with the basic facts about the geometry of surfaces, of two-dimensional manifolds. The theory of three-dimensional manifolds is much more difficult and still only partly understood, although there is ample evidence that the theory of three-dimensional manifolds is one of the most beautiful in the whole of mathematics. This excellent introductory work makes this mathematical wonderland remained rather inaccessible to non-specialists. The author is both a leading researcher, with a formidable geometric intuition, and a gifted expositor. His vivid descriptions of what it might be like to live in this or that three-dimensional manifold bring the subject to life. Like Poincaré, he appeals to intuition, but his enthusiasm is infectious and should make many converts for this kind of mathematics. There are good pictures, plenty of exercises and problems, and the reader will find a selection of topics which are not found in the standard repertoire. This book contains a great deal of interesting mathematics.
Techniques Of Geometric Topology
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Author : Roger Fenn
language : en
Publisher: CUP Archive
Release Date : 1983-09
Techniques Of Geometric Topology written by Roger Fenn and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-09 with Mathematics categories.
The Geometry And Topology Of Change Ordered Quantum Fields In Low Dimensional Systems
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Author : Felix Flicker
language : en
Publisher:
Release Date : 2015
The Geometry And Topology Of Change Ordered Quantum Fields In Low Dimensional Systems written by Felix Flicker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Energy Landscapes Of Nanoscale Systems
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Author : David J. Wales
language : en
Publisher: Elsevier
Release Date : 2022-06-08
Energy Landscapes Of Nanoscale Systems written by David J. Wales and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-08 with Technology & Engineering categories.
Energy Landscapes of Nanoscale Systems provides a snapshot of the state-of-the-art in energy landscapes theory and applications. The book's chapters reflect diversity and knowledge transfer that is a key strength of the energy landscape approach. To reflect the breadth of this field, contributions include applications for clusters, biomolecules, crystal structure prediction and glassy materials. Chapters highlighting new methodologies, especially enhanced sampling techniques are included. In particular, the development and application of global optimization for structure prediction, methods for treating broken ergodicity on multifunnel landscapes, and treatment of rare event dynamics that reflect the state-of-the-art are featured. This book is an important reference source for materials scientists and energy engineers who want to understand more about how nanotechnology applies to the energy landscape approach. This volume is dedicated to Prof. Roy L. Johnston, who was formerly Co-Editor of the Frontiers of Nanoscience series, and who passed away in 2019. - Outlines applications and advances in theory and simulation of energy systems at the nanoscale - Explores how the energy landscapes approach is being applied to nanoscale materials - Assesses major challenges in applying nanomaterials for energy applications on an industrial scale
Handbook Of Geometric Topology
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Author : R.B. Sher
language : en
Publisher: Elsevier
Release Date : 2001-12-20
Handbook Of Geometric Topology written by R.B. Sher and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-20 with Mathematics categories.
Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Library Of Congress Subject Headings
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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009
Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.