Topology - Recent Advances and Applications

Topology - Recent Advances and Applications PDF Author: Paul Bracken
Publisher: BoD – Books on Demand
ISBN: 1837695598
Category : Mathematics
Languages : en
Pages : 218

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Book Description
Topology remains an active and fundamental area of research that plays a foundational role in many branches of mathematics and science, such as analysis, differential geometry, physics and even biology. It is hoped the papers in this book will contribute to stimulating research in this basic area of mathematics.

Topology - Recent Advances and Applications

Topology - Recent Advances and Applications PDF Author: Paul Bracken
Publisher: BoD – Books on Demand
ISBN: 1837695598
Category : Mathematics
Languages : en
Pages : 218

Get Book Here

Book Description
Topology remains an active and fundamental area of research that plays a foundational role in many branches of mathematics and science, such as analysis, differential geometry, physics and even biology. It is hoped the papers in this book will contribute to stimulating research in this basic area of mathematics.

Perspectives in Analysis, Geometry, and Topology

Perspectives in Analysis, Geometry, and Topology PDF Author: Ilia Itenberg
Publisher: Springer Science & Business Media
ISBN: 0817682775
Category : Mathematics
Languages : en
Pages : 483

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Book Description
The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman's spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry.

Recent Advances in Geometric Inequalities

Recent Advances in Geometric Inequalities PDF Author: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
ISBN: 9401578427
Category : Mathematics
Languages : en
Pages : 728

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Book Description


Fuzzy Topology

Fuzzy Topology PDF Author: Ying-ming Liu
Publisher: World Scientific
ISBN: 9814518204
Category : Mathematics
Languages : en
Pages : 365

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Book Description
Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background — processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other.This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called “pointed approach” and the effects of stratification structure appearing in fuzzy sets.The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates.

Topology Optimization in Engineering Structure Design

Topology Optimization in Engineering Structure Design PDF Author: Jihong Zhu
Publisher: Elsevier
ISBN: 0081021194
Category : Business & Economics
Languages : en
Pages : 296

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Book Description
Topology Optimization in Engineering Structure Design explores the recent advances and applications of topology optimization in engineering structures design, with a particular focus on aircraft and aerospace structural systems.To meet the increasingly complex engineering challenges provided by rapid developments in these industries, structural optimization techniques have developed in conjunction with them over the past two decades. The latest methods and theories to improve mechanical performances and save structural weight under static, dynamic and thermal loads are summarized and explained in detail here, in addition to potential applications of topology optimization techniques such as shape preserving design, smart structure design and additive manufacturing.These new design strategies are illustrated by a host of worked examples, which are inspired by real engineering situations, some of which have been applied to practical structure design with significant effects. Written from a forward-looking applied engineering perspective, the authors not only summarize the latest developments in this field of structure design but also provide both theoretical knowledge and a practical guideline. This book should appeal to graduate students, researchers and engineers, in detailing how to use topology optimization methods to improve product design. - Combines practical applications and topology optimization methodologies - Provides problems inspired by real engineering difficulties - Designed to help researchers in universities acquire more engineering requirements

Recent Advances in Scientific Computing and Applications

Recent Advances in Scientific Computing and Applications PDF Author: Jichun Li
Publisher: American Mathematical Soc.
ISBN: 0821887378
Category : Mathematics
Languages : en
Pages : 397

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Book Description
This volume contains the proceedings of the Eighth International Conference on Scientific Computing and Applications, held April 1-4, 2012, at the University of Nevada, Las Vegas. The papers in this volume cover topics such as finite element methods, multiscale methods, finite difference methods, spectral methods, collocation methods, adaptive methods, parallel computing, linear solvers, applications to fluid flow, nano-optics, biofilms, finance, magnetohydrodynamics flow, electromagnetic waves, the fluid-structure interaction problem, and stochastic PDEs. This book will serve as an excellent reference for graduate students and researchers interested in scientific computing and its applications.

Topology and Its Applications

Topology and Its Applications PDF Author: William F. Basener
Publisher: John Wiley & Sons
ISBN: 1118626222
Category : Mathematics
Languages : en
Pages : 295

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Book Description
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.

Recent Advances in Power Electronics and Drives

Recent Advances in Power Electronics and Drives PDF Author: Shailendra Kumar
Publisher: Springer Nature
ISBN: 9811692394
Category : Technology & Engineering
Languages : en
Pages : 641

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Book Description
This book contains select proceedings of EPREC-2021 with a focus on power electronics and drives. The book includes original research and case studies that present recent developments in power electronics focusing on power inverters and converters. The book also consists of research work on electrical drives, regulated power supplies, operation of FACTS & HVDC, etc. The book will be a valuable reference guide for beginners, researchers, and professionals interested in the advancements of power electronics and drives.

Recent Advances in Parallel Virtual Machine and Message Passing Interface

Recent Advances in Parallel Virtual Machine and Message Passing Interface PDF Author: Marian Bubak
Publisher: Springer Science & Business Media
ISBN: 9783540636977
Category : Computers
Languages : en
Pages : 540

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Book Description
This book constitutes the refereed proceedings of the 4th European Parallel Virtual Machine and Message Passing Interface Users' Group Meeting, PVM/MPI '97, held in Cracow, Poland in November 1997. Parallel Virtual Machine and Message Passing Interface are the most popular tools for programming in accordance with the message passing paradigm which, at present, is considered to be the best way to develop effective parallel programs. The book presents 63 carefully selected papers covering the whole range of PVM/MPI issues. The papers are organized in sections on evaluation and performance, extensions and improvements, implementation, tools, algorithms, and applications in science and engineering.

Recent Advances of Neural Network Models and Applications

Recent Advances of Neural Network Models and Applications PDF Author: Simone Bassis
Publisher: Springer Science & Business Media
ISBN: 3319041290
Category : Technology & Engineering
Languages : en
Pages : 436

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Book Description
This volume collects a selection of contributions which has been presented at the 23rd Italian Workshop on Neural Networks, the yearly meeting of the Italian Society for Neural Networks (SIREN). The conference was held in Vietri sul Mare, Salerno, Italy during May 23-24, 2013. The annual meeting of SIREN is sponsored by International Neural Network Society (INNS), European Neural Network Society (ENNS) and IEEE Computational Intelligence Society (CIS). The book – as well as the workshop- is organized in two main components, a special session and a group of regular sessions featuring different aspects and point of views of artificial neural networks, artificial and natural intelligence, as well as psychological and cognitive theories for modeling human behaviors and human machine interactions, including Information Communication applications of compelling interest.