Topological Library
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Topological Library Part 3 Spectral Sequences In Topology
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Author : Serguei Petrovich Novikov
language : en
Publisher: World Scientific
Release Date : 2012-07-25
Topological Library Part 3 Spectral Sequences In Topology written by Serguei Petrovich Novikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Mathematics categories.
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.”
Topological Library
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Author : Сергей Петрович Новиков
language : en
Publisher: World Scientific Publishing Company
Release Date : 2007
Topological Library written by Сергей Петрович Новиков and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
A First Course In Topology
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Author : John McCleary
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
A First Course In Topology written by John McCleary 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 2006 with Mathematics categories.
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, giving shape to a subject whose development dominated the twentieth century. The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time.The goal of this book is a focused introduction through these classical topics, aiming throughout at the classical result of the Invariance of Dimension. This text is based on the author's course given at Vassar College and is intended for advanced undergraduate students. It is suitable for a semester-long course on topology for students who have studied real analysis and linear algebra. It is also a good choice for a capstone course, senior seminar, or independent study.
Leveraging Blockchain For Future Ready Libraries
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Author : Senthilkumar, KR
language : en
Publisher: IGI Global
Release Date : 2024-12-02
Leveraging Blockchain For Future Ready Libraries written by Senthilkumar, KR and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-02 with Language Arts & Disciplines categories.
Blockchain technology is revolutionizing the way libraries manage, secure, and share information in the digital age. With its potential to enhance cataloging systems, improve data integrity, and ensure transparent transactions, blockchain offers innovative solutions to the challenges faced by modern library networks. By exploring these advancements, this book provides a thorough analysis of how blockchain can transform information management, bringing efficiency and security to the forefront of library operations. Leveraging Blockchain for Future-Ready Libraries offers readers an in-depth look at the practical applications of blockchain in the library world, backed by real-world case studies of successful implementations. The book highlights both the benefits and challenges of adopting this technology, offering valuable insights for librarians, IT professionals, library science students, and academics interested in the evolving intersection of blockchain and information management.
New Ideas In Low Dimensional Topology
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Author : Vassily Olegovich Manturov
language : en
Publisher: World Scientific
Release Date : 2015-01-27
New Ideas In Low Dimensional Topology written by Vassily Olegovich Manturov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-27 with Mathematics categories.
This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics.
Topology And Geometry
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Author : Glen E. Bredon
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-06-24
Topology And Geometry written by Glen E. Bredon 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 1993-06-24 with Education categories.
This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
Intelligent Computer Mathematics
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Author : Michael Kohlhase
language : en
Publisher: Springer
Release Date : 2016-07-11
Intelligent Computer Mathematics written by Michael Kohlhase and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with Computers categories.
This book constitutes the refereed proceedings of the 9th International Conference on Intelligent Computer Mathematics, CICM 2016, held in Bialystok, Poland, in July 2016. The 10 full papers and 2 short papers presented were carefully reviewed and selectedfrom a total of 41 submissions. The papers are organized in topical sections according to the five tracks of the conference: Calculemus; Digital Mathematics Libraries; Mathematical Knowledge Management; Surveys and Projects; and Systems and Data.
Fuzzy Systems And Knowledge Discovery
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Author : Lipo Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-17
Fuzzy Systems And Knowledge Discovery written by Lipo Wang 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 2005-08-17 with Computers categories.
This book and its sister volume, LNAI 3613 and 3614, constitute the proce- ings of the Second International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2005), jointly held with the First International Conference on Natural Computation (ICNC 2005, LNCS 3610, 3611, and 3612) from - gust 27–29, 2005 in Changsha, Hunan, China. FSKD 2005 successfully attracted 1249 submissions from 32 countries/regions (the joint ICNC-FSKD 2005 received 3136 submissions). After rigorous reviews, 333 high-quality papers, i. e. , 206 long papers and 127 short papers, were included in the FSKD 2005 proceedings, r- resenting an acceptance rate of 26. 7%. The ICNC-FSKD 2005 conference featured the most up-to-date research - sults in computational algorithms inspired from nature, including biological, e- logical, and physical systems. It is an exciting and emerging interdisciplinary area in which a wide range of techniques and methods are being studied for dealing with large, complex, and dynamic problems. The joint conferences also promoted cross-fertilization over these exciting and yet closely-related areas, which had a signi?cant impact on the advancement of these important technologies. Speci?c areas included computation with words, fuzzy computation, granular com- tation, neural computation, quantum computation, evolutionary computation, DNA computation, chemical computation, information processing in cells and tissues, molecular computation, arti?cial life, swarm intelligence, ants colony, arti?cial immune systems, etc. , with innovative applications to knowledge d- covery, ?nance, operations research, and more.
Topics In Topological Graph Theory
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Author : Lowell W. Beineke
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-09
Topics In Topological Graph Theory written by Lowell W. Beineke 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 2009-07-09 with Mathematics categories.
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.
Topological Library Part 1 Cobordisms And Their Applications
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Author : Serguei Petrovich Novikov
language : en
Publisher: World Scientific
Release Date : 2007-07-09
Topological Library Part 1 Cobordisms And Their Applications written by Serguei Petrovich Novikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-09 with Mathematics categories.
This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “Singular homologies of fibre spaces.”This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted.