Advances in Topology and Their Interdisciplinary Applications

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Publisher : Springer Nature
ISBN 13 : 9819901510
Total Pages : 264 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Advances in Topology and Their Interdisciplinary Applications by : Santanu Acharjee

Download or read book Advances in Topology and Their Interdisciplinary Applications written by Santanu Acharjee and published by Springer Nature. This book was released on 2023-05-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected chapters on recent research in topology. It bridges the gap between recent trends of topological theories and their applications in areas like social sciences, natural sciences, soft computing, economics, theoretical chemistry, cryptography, pattern recognitions and granular computing. There are 14 chapters, including two chapters on mathematical economics from the perspective of topology. The book discusses topics on function spaces, relator space, preorder, quasi-uniformities, bitopological dynamical systems, b-metric spaces and related fixed point theory. This book is useful to researchers, experts and scientists in studying the cutting-edge research in topology and related areas and helps them applying topology in solving real-life problems the society and science are facing these days.

Advances in Algebra Analysis and Topology

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Publisher :
ISBN 13 : 9781032634142
Total Pages : 0 pages
Book Rating : 4.6/5 (341 download)

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Book Synopsis Advances in Algebra Analysis and Topology by :

Download or read book Advances in Algebra Analysis and Topology written by and published by . This book was released on 2024-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insights, theoretical developments, and practical applications, showcasing the richness and interdisciplinary nature of algebra, analysis, and topology. The book fosters a deeper understanding of the fundamental principles while also highlighting the latest advancements and emerging trends in these disciplines. Readers are encouraged to apply the theoretical concepts and techniques to solve mathematical problems, engaging with the book's problem-solving approach. By combining theoretical foundations, practical applications, and interdisciplinary perspectives, this book aims to inspire new avenues of research and contribute to the ongoing development of these dynamic fields. Provides a comprehensive and accessible resource that covers a broad range of topics in algebra, analysis, and topology, understanding of the interconnections between these mathematical fields Encompasses both classical topics and cutting-edge research areas within algebra, analysis, and topology Covers foundational concepts, advanced theories, and their applications in diverse fields such as physics, computer science, engineering, and economics Offers sophisticated tools and methodologies to tackle complex problems and deepen the understanding of these disciplines Explores how algebra, analysis, and topology intersect with other fields of mathematics and how their concepts and techniques can be applied in related disciplines It serves as a valuable reference for graduate students, researchers, and mathematicians seeking to deepen their knowledge and engage with the latest advancements in these fundamental branches of mathematics"--

Topology and Its Applications

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Publisher : John Wiley & Sons
ISBN 13 : 1118626222
Total Pages : 295 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Topology and Its Applications by : William F. Basener

Download or read book Topology and Its Applications written by William F. Basener and published by John Wiley & Sons. This book was released on 2013-06-12 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as cell biology, superconductors, and robot motion, topology has been transformed from a theoretical field that highlights mathematical theory to a subject that plays a growing role in nearly all fields of scientific investigation. Moving from the concrete to the abstract, Topology and Its Applications displays both the beauty and utility of topology, first presenting the essentials of topology followed by its emerging role within the new frontiers in research. Filling a gap between the teaching of topology and its modern uses in real-world phenomena, Topology and Its Applications is organized around the mathematical theory of topology, a framework of rigorous theorems, and clear, elegant proofs. This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population modeling, as well as other areas of science and engineering. Many of these applications are presented in optional sections, allowing an instructor to customize the presentation. The author presents a diversity of topological areas, including point-set topology, geometric topology, differential topology, and algebraic/combinatorial topology. Topics within these areas include: Open sets Compactness Homotopy Surface classification Index theory on surfaces Manifolds and complexes Topological groups The fundamental group and homology Special "core intuition" segments throughout the book briefly explain the basic intuition essential to understanding several topics. A generous number of figures and examples, many of which come from applications such as liquid crystals, space probe data, and computer graphics, are all available from the publisher's Web site.

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

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Publisher : Springer Nature
ISBN 13 : 3030152421
Total Pages : 912 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Current Trends in Mathematical Analysis and Its Interdisciplinary Applications by : Hemen Dutta

Download or read book Current Trends in Mathematical Analysis and Its Interdisciplinary Applications written by Hemen Dutta and published by Springer Nature. This book was released on 2019-08-23 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.

General Topology and Applications

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Publisher : CRC Press
ISBN 13 : 9780824783495
Total Pages : 316 pages
Book Rating : 4.7/5 (834 download)

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Book Synopsis General Topology and Applications by : Shortt

Download or read book General Topology and Applications written by Shortt and published by CRC Press. This book was released on 1990-02-23 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Northeast Conference on the subject at Wesleyan University, Connecticut, in June 1988. The two dozen papers, by mathematicians from the US, Canada, and the Netherlands, report on recent advances in topology for research mathematicians and graduate students. They focus on the theor

Recent Progress in General Topology III

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Publisher : Springer Science & Business Media
ISBN 13 : 946239024X
Total Pages : 898 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Recent Progress in General Topology III by : K.P. Hart

Download or read book Recent Progress in General Topology III written by K.P. Hart and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

Advances in Mathematical Analysis and its Applications

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Publisher : CRC Press
ISBN 13 : 100082439X
Total Pages : 358 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Advances in Mathematical Analysis and its Applications by : Bipan Hazarika

Download or read book Advances in Mathematical Analysis and its Applications written by Bipan Hazarika and published by CRC Press. This book was released on 2022-12-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. Features: The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. It offers an understanding of research problems by presenting the necessary developments in reasonable details The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications. The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful.

Advanced Technologies, Systems, and Applications III

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Publisher : Springer
ISBN 13 : 3030025748
Total Pages : 509 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Advanced Technologies, Systems, and Applications III by : Samir Avdaković

Download or read book Advanced Technologies, Systems, and Applications III written by Samir Avdaković and published by Springer. This book was released on 2018-11-03 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces innovative and interdisciplinary applications of advanced technologies. Featuring the papers from the 10th DAYS OF BHAAAS (Bosnian-Herzegovinian American Academy of Arts and Sciences) held in Jahorina, Bosnia and Herzegovina on June 21–24, 2018, it discusses a wide variety of engineering and scientific applications of the different techniques. Researchers from academic and industry present their work and ideas, techniques and applications in the field of power systems, mechanical engineering, computer modelling and simulations, civil engineering, robotics and biomedical engineering, information and communication technologies, computer science and applied mathematics.

Topology Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3662050862
Total Pages : 381 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Topology Optimization by : Martin Philip Bendsoe

Download or read book Topology Optimization written by Martin Philip Bendsoe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.

Advanced Technologies, Systems, and Applications II

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Publisher : Springer
ISBN 13 : 3319713213
Total Pages : 1203 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advanced Technologies, Systems, and Applications II by : Mirsad Hadžikadić

Download or read book Advanced Technologies, Systems, and Applications II written by Mirsad Hadžikadić and published by Springer. This book was released on 2018-01-30 with total page 1203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovative and interdisciplinary applications of advanced technologies. It includes the scientific outcomes of the 9th DAYS OF BHAAAS (Bosnian-Herzegovinian American Academy of Arts and Sciences) held in Banja Vrućica, Teslić, Bosnia and Herzegovina on May 25–28, 2017. This unique book offers a comprehensive, multidisciplinary and interdisciplinary overview of the latest developments in a broad section of technologies and methodologies, viewed through the prism of applications in computing, networking, information technology, robotics, complex systems, communications, energy, mechanical engineering, economics and medicine, to name just a few.

Advanced Technologies, Systems, and Applications IV -Proceedings of the International Symposium on Innovative and Interdisciplinary Applications of Advanced Technologies (IAT 2019)

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Publisher : Springer
ISBN 13 : 3030249867
Total Pages : 653 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Advanced Technologies, Systems, and Applications IV -Proceedings of the International Symposium on Innovative and Interdisciplinary Applications of Advanced Technologies (IAT 2019) by : Samir Avdaković

Download or read book Advanced Technologies, Systems, and Applications IV -Proceedings of the International Symposium on Innovative and Interdisciplinary Applications of Advanced Technologies (IAT 2019) written by Samir Avdaković and published by Springer. This book was released on 2019-07-12 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the scientific outcomes of the conference 11th Days of Bosnian-Herzegovinian American Academy of Arts and Sciences, held in Sarajevo, Bosnia and Herzegovina, June 20–23, 2019. Including innovative applications of advanced technologies, it offers a uniquely comprehensive, multidisciplinary and interdisciplinary overview of the latest developments in a broad range of technologies and methodologies, viewed through the prism of computing, networking, information technology, robotics, complex systems, communications, energy, mechanical engineering, economics and medicine, among others.

Advanced Technologies, Systems, and Applications VII

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Publisher : Springer Nature
ISBN 13 : 3031176979
Total Pages : 789 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Advanced Technologies, Systems, and Applications VII by : Naida Ademović

Download or read book Advanced Technologies, Systems, and Applications VII written by Naida Ademović and published by Springer Nature. This book was released on 2022-10-15 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of articles on the advanced and interdisciplinary application of innovative technologies. Scientific investigations and results of the conference 13th Days of Bosnian-Herzegovinian American Academy of Art and Sciences held in Sarajevo, Bosnia and Herzegovina, June 23-26, 2022, are presented in this book. The up-to-date advances in various fields of engineering have been presented through numerous papers spanning the disciplines of civil engineering, mechanical engineering, advanced electrical power systems, computer modeling and simulations for engineering applications, computer science and artificial intelligence, geodesy and geoinformation, data science and geographic information systems and information and communication technologies. The editors would like to extend special gratitude to all the chairs of the planned symposia of the 13th Days of BHAAAS for their dedicated work in the production of this book.

Advanced Technologies, Systems, and Applications VI

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Publisher : Springer Nature
ISBN 13 : 303090055X
Total Pages : 803 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Advanced Technologies, Systems, and Applications VI by : Naida Ademović

Download or read book Advanced Technologies, Systems, and Applications VI written by Naida Ademović and published by Springer Nature. This book was released on 2021-11-16 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the innovative and interdisciplinary application of advanced technologies. It includes the scientific outcomes and results of the conference 12th Day of Bosnian-Herzegovinian American Academy of Art and Sciences held in Mostar, Bosnia, and Herzegovina, June 24-27, 2021. The latest developments in various fields of engineering have been presented through various papers in civil engineering, mechanical engineering, computing, electrical and electronics engineering, and others. A new session, Sustainable Urban Development: Designing Smart, Inclusive and Resilient Cities, was organized, enabling experts in this field to exchange their knowledge and expertise.

Extended Abstracts GEOMVAP 2019

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Publisher : Springer Nature
ISBN 13 : 3030848000
Total Pages : 150 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Extended Abstracts GEOMVAP 2019 by : Maria Alberich-Carramiñana

Download or read book Extended Abstracts GEOMVAP 2019 written by Maria Alberich-Carramiñana and published by Springer Nature. This book was released on 2021-12-04 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises an overview of twelve months of intense activity of the research group Geometry, Topology, Algebra, and Applications (GEOMVAP) at the Universitat Politècnica de Catalunya (UPC). Namely, it contains extended abstracts of the group meeting in Cardona and of the international Workshop of Women in Geometry and Topology aligned with a series of workshops in the topic. As such, it includes a panoramic view of the main research interests of the group which focus on varieties and manifolds from the algebraic, topological and differential perspective with a view towards applications. The GEOMVAP group has a long tradition working on various interfaces of algebra, geometry and topology. In the last decade, the group has become active contributor in interdisciplinary science and it is now focused on both a theoretical point of view and the transversal applications to several disciplines including Robotics, Machine Learning, Phylogenetics, Physics and Celestial Mechanics. The increasing interdisciplinarity of modern research and the fact that the boundaries between different areas of mathematics are vanishing, with a constant transfer of problems and techniques between them, makes it difficult to progress without a multidisciplinary approach. GEOMVAP gathers together experts in Algebraic, Symplectic and Arithmetic Geometry to stimulate the interaction between them and to allow the study of each object from different points of view. The book aims at established researchers, as well as at PhD and postdoctoral students who want to learn more about the latest advances in pure and applied Geometry and Topology.

Advanced Topics of Topology

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Author :
Publisher : BoD – Books on Demand
ISBN 13 : 1803550937
Total Pages : 138 pages
Book Rating : 4.8/5 (35 download)

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Book Synopsis Advanced Topics of Topology by : Francisco Bulnes

Download or read book Advanced Topics of Topology written by Francisco Bulnes and published by BoD – Books on Demand. This book was released on 2022-07-27 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is an area of mathematics that establishes relations and transformations between spaces with a certain structure depending on their position and considering the structure of the ambient space where these relations exist. This book discusses various concepts and theories of topology, including diffeomorphisms, immersions, Hausdorff spaces, cobordisms, homotopy theory, symplectic manifolds, topology of quantum field theory, algebraic varieties, dimension theory, Koszul complexes, continuum theory, and metrizability, among others.

Recent Progress in General Topology II

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Publisher : Elsevier
ISBN 13 : 0080929958
Total Pages : 651 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Recent Progress in General Topology II by : M. Husek

Download or read book Recent Progress in General Topology II written by M. Husek and published by Elsevier. This book was released on 2002-11-13 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents surveys describing recent developments in most of the primary subfields ofGeneral Topology and its applications to Algebra and Analysis during the last decade. It follows freelythe previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared inconnection with the Prague Topological Symposium, held in 2001. During the last 10 years the focusin General Topology changed and therefore the selection of topics differs slightly from thosechosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (includingInfinite-Dimensional Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as:R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.

Advances in Network Analysis and its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642309038
Total Pages : 415 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Advances in Network Analysis and its Applications by : Evangelos Kranakis

Download or read book Advances in Network Analysis and its Applications written by Evangelos Kranakis and published by Springer Science & Business Media. This book was released on 2012-10-24 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: As well as highlighting potentially useful applications for network analysis, this volume identifies new targets for mathematical research that promise to provide insights into network systems theory as well as facilitating the cross-fertilization of ideas between sectors. Focusing on financial, security and social aspects of networking, the volume adds to the growing body of evidence showing that network analysis has applications to transportation, communication, health, finance, and social policy more broadly. It provides powerful models for understanding the behavior of complex systems that, in turn, will impact numerous cutting-edge sectors in science and engineering, such as wireless communication, network security, distributed computing and social networking, financial analysis, and cyber warfare. The volume offers an insider’s view of cutting-edge research in network systems, including methodologies with immense potential for interdisciplinary application. The contributors have all presented material at a series of workshops organized on behalf of Canada’s MITACS initiative, which funds projects and study grants in ‘mathematics for information technology and complex systems’. These proceedings include papers from workshops on financial networks, network security and cryptography, and social networks. MITACS has shown that the partly ghettoized nature of network systems research has led to duplicated work in discrete fields, and thus this initiative has the potential to save time and accelerate the pace of research in a number of areas of network systems research.