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Author : George Clifford Gastl
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (89 download)
Download or read book Extended Topology written by George Clifford Gastl and published by . This book was released on 1966 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nick M. Stavrakas
Publisher : Academic Press
ISBN 13 : 1483259110
Total Pages : 673 pages
Book Rating : 4.4/5 (832 download)
Download or read book Studies in Topology written by Nick M. Stavrakas and published by Academic Press. This book was released on 2014-05-10 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Topology is a compendium of papers dealing with a broad portion of the topological spectrum, such as in shape theory and in infinite dimensional topology. One paper discusses an approach to proper shape theory modeled on the "ANR-systems" of Mardesic-Segal, on the "mutations" of Fox, or on the "shapings" of Mardesic. Some papers discuss homotopy and cohomology groups in shape theory, the structure of superspace, on o-semimetrizable spaces, as well as connected sets that have one or more disconnection properties. One paper examines "weak" compactness, considered as either a strengthening of absolute closure or a weakening of relative compactness (subject to entire topological spaces or to subspaces of larger spaces). To construct spaces that have only weak properties, the investigator can use the various productivity theorems of Scarborough and Stone, Saks and Stephenson, Frolik, Booth, and Hechler. Another paper analyzes the relationship between "normal Moore space conjecture" and productivity of normality in Moore spaces. The compendium is suitable for mathematicians, physicists, engineers, and other professionals involved in topology, set theory, linear spaces, or cartography.
Author : Don Arthur Mattson
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (89 download)
Download or read book Extended Topology written by Don Arthur Mattson and published by . This book was released on 1965 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tamal Krishna Dey
Publisher : Cambridge University Press
ISBN 13 : 1009103199
Total Pages : 456 pages
Book Rating : 4.0/5 (91 download)
Download or read book Computational Topology for Data Analysis written by Tamal Krishna Dey and published by Cambridge University Press. This book was released on 2022-03-10 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.
Author : Rudolf Fritsch
Publisher : Cambridge University Press
ISBN 13 : 9780521327848
Total Pages : 348 pages
Book Rating : 4.3/5 (278 download)
Download or read book Cellular Structures in Topology written by Rudolf Fritsch and published by Cambridge University Press. This book was released on 1990-09-27 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory.
Author : Yunkang Sui
Publisher : Butterworth-Heinemann
ISBN 13 : 0128126566
Total Pages : 395 pages
Book Rating : 4.1/5 (281 download)
Download or read book Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function written by Yunkang Sui and published by Butterworth-Heinemann. This book was released on 2017-08-29 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization. This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers. - Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models - Centers on the application of ICM method in various situations with the introduction of easily coded software - Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines
Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4./5 ( download)
Download or read book Foundation of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, and Future Directions written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: We now found nine new topologies, such as: NonStandard Topology, Largest Extended NonStandard Real Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended Triplet Weak/Strong Topologies, Neutrosophic Duplet Topology, Neutrosophic Extended Duplet Topology, Neutrosophic MultiSet Topology, and recall and improve the seven previously founded topologies in the years (2019-2023), namely: NonStandard Neutrosophic Topology, NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. They are called avantgarde topologies because of their innovative forms.
Author : Jaroslav Lukes
Publisher : Springer
ISBN 13 : 3540398147
Total Pages : 483 pages
Book Rating : 4.5/5 (43 download)
Download or read book Fine Topology Methods in Real Analysis and Potential Theory written by Jaroslav Lukes and published by Springer. This book was released on 2006-11-14 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sanjay Rana
Publisher : John Wiley & Sons
ISBN 13 : 047002027X
Total Pages : 214 pages
Book Rating : 4.4/5 (7 download)
Download or read book Topological Data Structures for Surfaces written by Sanjay Rana and published by John Wiley & Sons. This book was released on 2005-12-13 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Geography and GIS, surfaces can be analysed and visualised through various data structures, and topological data structures describe surfaces in the form of a relationship between certain surface-specific features. Drawn from many disciplines with a strong applied aspect, this is a research-led, interdisciplinary approach to the creation, analysis and visualisation of surfaces, focussing on topological data structures. Topological Data Structures for Surfaces: an introduction for Geographical Information Science describes the concepts and applications of these data structures. The book focuses on how these data structures can be used to analyse and visualise surface datasets from a range of disciplines such as human geography, computer graphics, metrology, and physical geography. Divided into two Parts, Part I defines the topological surface data structures and explains the various automated methods used for their generation. Part II demonstrates a number of applications of surface networks in diverse fields, ranging from sub-atomic particle collision visualisation to the study of population density patterns. To ensure that the material is accessible, each Part is prefaced by an overview of the techniques and application. Provides GI scientists and geographers with an accessible overview of current surface topology research. Algorithms are presented and explained with practical examples of their usage. Features an accompanying website developed by the Editor - http://geog.le.ac.uk/sanjayrana/surface-networks/ This book is invaluable for researchers and postgraduate students working in departments of GI Science, Geography and Computer Science. It also constitutes key reference material for Masters students working on surface analysis projects as part of a GI Science or Computer Science programme.
Author : Herbert Edelsbrunner
Publisher : American Mathematical Society
ISBN 13 : 1470467690
Total Pages : 241 pages
Book Rating : 4.4/5 (74 download)
Download or read book Computational Topology written by Herbert Edelsbrunner and published by American Mathematical Society. This book was released on 2022-01-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
Author : Marco De Renzi
Publisher : American Mathematical Society
ISBN 13 : 1470452693
Total Pages : 161 pages
Book Rating : 4.4/5 (74 download)
Download or read book Non-Semisimple Extended Topological Quantum Field Theories written by Marco De Renzi and published by American Mathematical Society. This book was released on 2022-05-24 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Manaswita Bose
Publisher : Springer Nature
ISBN 13 : 9811559554
Total Pages : 1639 pages
Book Rating : 4.8/5 (115 download)
Download or read book Proceedings of the 7th International Conference on Advances in Energy Research written by Manaswita Bose and published by Springer Nature. This book was released on 2020-10-17 with total page 1639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected papers from the 7th International Conference on Advances in Energy Research (ICAER 2019), providing a comprehensive coverage encompassing all fields and aspects of energy in terms of generation, storage, and distribution. Themes such as optimization of energy systems, energy efficiency, economics, management, and policy, and the interlinkages between energy and environment are included. The contents of this book will be of use to researchers and policy makers alike.
Author : International Union of Theoretical and Applied Mechanics
Publisher : Cambridge University Press
ISBN 13 : 9780521381451
Total Pages : 394 pages
Book Rating : 4.3/5 (814 download)
Download or read book Topological Fluid Mechanics written by International Union of Theoretical and Applied Mechanics and published by Cambridge University Press. This book was released on 1990-04-12 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been developing interest in the aspects of fluid mechanics and of magnetohydrodynamics that can be properly described as topological, rather than exclusively analytical in character. This book contains the proceedings of the IUTAM symposium on Topological Fluid Mechanics held at Cambridge UK, 13-18 August, 1989. Topics covered include the kinematic and dynamical problems in laminar and turbulent flows, as well as the range of problems that arise from the magnetohydrodynamics of highly conducting flows. The papers presented cover all approaches; theoretical, computational and experimental, and each paper has been edited by a member of the International Scientific Committee.
Author : Robert Andre
Publisher : World Scientific
ISBN 13 : 9811277354
Total Pages : 822 pages
Book Rating : 4.8/5 (112 download)
Download or read book Point-set Topology With Topics: Basic General Topology For Graduate Studies written by Robert Andre and published by World Scientific. This book was released on 2024-01-19 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.Chapters related to the more basic ideas of general topology are followed by a collection of 'concept review' questions, the answers to which are found in the main body of the text. These questions highlight the main concepts presented in that chapter, as well as ideas that are often overlooked when first encountered, which will help to test the students' understanding. The efforts required in answering correctly such questions will provide the student with the ability to solve more complex problems in the exercises collected at the end of each section.
Author : Jagannathan Sarangapani
Publisher : CRC Press
ISBN 13 : 1420015311
Total Pages : 538 pages
Book Rating : 4.4/5 (2 download)
Download or read book Wireless Ad hoc and Sensor Networks written by Jagannathan Sarangapani and published by CRC Press. This book was released on 2017-12-19 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: With modern communication networks continuing to grow in traffic, size, complexity, and variety, control systems are critical to ensure quality and effectively manage network traffic. Providing a thorough and authoritative introduction, Wireless Ad hoc and Sensor Networks: Protocols, Performance, and Control examines the theory, architectures, and technologies needed to implement quality of service (QoS) in a wide variety of communication networks. Based on years of research and practical experience, this book examines the technical concepts underlying the design, implementation, research, and invention of both wired and wireless networks. The author builds a strong understanding of general concepts and common principles while also exploring issues that are specific to wired, cellular, wireless ad hoc, and sensor networks. Beginning with an overview of networks and QoS control, he systematically explores timely areas such as Lyapunov analysis, congestion control of high-speed networks, admission control based on hybrid system theory, distributed power control of various network types, link state routing using QoS parameters, and predictive congestion control. The book also provides a framework for implementing QoS control using mote hardware. Providing a deeply detailed yet conveniently practical guide to QoS implementation, Wireless Ad hoc and Sensor Networks: Protocols, Performance, and Control is the perfect introduction for anyone new to the field as well as an ideal reference guide for seasoned network practitioners.
Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 1470452065
Total Pages : 202 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4./5 ( download)
Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
