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Aspects Of Low Dimensional Manifolds


Aspects Of Low Dimensional Manifolds
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Aspects Of Low Dimensional Manifolds


Aspects Of Low Dimensional Manifolds
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Author : Yukio Matsumoto
language : en
Publisher:
Release Date : 1992

Aspects Of Low Dimensional Manifolds written by Yukio Matsumoto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.


This volume contains ten original papers written by leading experts in various areas of low-dimensional topology. The topics covered here are among those showing the most rapid progress in topology today: knots and links, three-dimensional hyperbolic geometry, conformally flat structures on three-manifolds, Floer homology, and the geometry and topology of four-manifolds. Offering both original results and up-to-date survey papers, Aspects of Low Dimensional Manifolds will interest mathematicians, physicists, graduate students, and others seeking a good introduction to the field.



Algorithmic Aspects Of Combinatorics


Algorithmic Aspects Of Combinatorics
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Author : B. Alspach
language : en
Publisher: Elsevier
Release Date : 1978-01-01

Algorithmic Aspects Of Combinatorics written by B. Alspach and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.


Algorithmic Aspects of Combinatorics



Low Dimensional Geometry


Low Dimensional Geometry
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Author : Francis Bonahon
language : en
Publisher: American Mathematical Soc.
Release Date :

Low Dimensional Geometry written by Francis Bonahon 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 with Mathematics categories.




Selected Applications Of Geometry To Low Dimensional Topology


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.



An Introduction To Morse Theory


An Introduction To Morse Theory
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Author : Yukio Matsumoto
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

An Introduction To Morse Theory written by Yukio Matsumoto 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 2002 with Mathematics categories.


This book introduces basic concepts related to finite dimensions, including critical points, the Hessian, and handle decompressions. It first uses surfaces to illustrate these ideas, and then generalizes them to apply to higher dimensions. This treatment then informs a discussion of handlebodies, homology, and low-dimensional manifold theory. Illustrations are provided throughout. c. Book News Inc.



Invariants Of Homology 3 Spheres


Invariants Of Homology 3 Spheres
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Author : Nikolai Saveliev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Invariants Of Homology 3 Spheres written by Nikolai Saveliev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geometric topology for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered are constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, including invariants of Walker and Lescop, Herald and Lin invariants of knots, and equivariant Casson invariants, 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. It will be appealing to both graduate students and researchers in mathematics and theoretical physics.



Intelligence Of Low Dimensional Topology 2006


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.



Elements Of Dimensionality Reduction And Manifold Learning


Elements Of Dimensionality Reduction And Manifold Learning
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Author : Benyamin Ghojogh
language : en
Publisher: Springer Nature
Release Date : 2023-02-02

Elements Of Dimensionality Reduction And Manifold Learning written by Benyamin Ghojogh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-02 with Computers categories.


Dimensionality reduction, also known as manifold learning, is an area of machine learning used for extracting informative features from data for better representation of data or separation between classes. This book presents a cohesive review of linear and nonlinear dimensionality reduction and manifold learning. Three main aspects of dimensionality reduction are covered: spectral dimensionality reduction, probabilistic dimensionality reduction, and neural network-based dimensionality reduction, which have geometric, probabilistic, and information-theoretic points of view to dimensionality reduction, respectively. The necessary background and preliminaries on linear algebra, optimization, and kernels are also explained to ensure a comprehensive understanding of the algorithms. The tools introduced in this book can be applied to various applications involving feature extraction, image processing, computer vision, and signal processing. This book is applicable to a wide audience who would like to acquire a deep understanding of the various ways to extract, transform, and understand the structure of data. The intended audiences are academics, students, and industry professionals. Academic researchers and students can use this book as a textbook for machine learning and dimensionality reduction. Data scientists, machine learning scientists, computer vision scientists, and computer scientists can use this book as a reference. It can also be helpful to statisticians in the field of statistical learning and applied mathematicians in the fields of manifolds and subspace analysis. Industry professionals, including applied engineers, data engineers, and engineers in various fields of science dealing with machine learning, can use this as a guidebook for feature extraction from their data, as the raw data in industry often require preprocessing. The book is grounded in theory but provides thorough explanations and diverse examples to improve the reader’s comprehension of the advanced topics. Advanced methods are explained in a step-by-step manner so that readers of all levels can follow the reasoning and come to a deep understanding of the concepts. This book does not assume advanced theoretical background in machine learning and provides necessary background, although an undergraduate-level background in linear algebra and calculus is recommended.



Lectures On The Topology Of 3 Manifolds


Lectures On The Topology Of 3 Manifolds
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Author : Nikolai Saveliev
language : en
Publisher: Walter de Gruyter
Release Date : 1999

Lectures On The Topology Of 3 Manifolds written by Nikolai Saveliev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


No detailed description available for "Lectures on the Topology of 3-Manifolds".



Knots Links Braids And 3 Manifolds


Knots Links Braids And 3 Manifolds
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Author : V. V. Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date :

Knots Links Braids And 3 Manifolds written by V. V. Prasolov 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 with Science categories.


This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.