Topology And Geometry In Polymer Science

Download Topology And Geometry In Polymer Science full books in PDF, epub, and Kindle. Read online Topology And Geometry In Polymer Science ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Topology and Geometry in Polymer Science

Author : Stuart G. Whittington
Publisher : Springer Science & Business Media
ISBN 13 : 1461217121
Total Pages : 209 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Topology and Geometry in Polymer Science by : Stuart G. Whittington

Download or read book Topology and Geometry in Polymer Science written by Stuart G. Whittington and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title. This workshop was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Stuart G. Whittington, De Witt Sumners, and Timothy Lodge for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE This book is the product of a workshop on Topology and Geometry of Polymers, held at the IMA in June 1996. The workshop brought together topologists, combinatorialists, theoretical physicists and polymer scientists, who share an interest in characterizing and predicting the microscopic en tanglement properties of polymers, and their effect on macroscopic physical properties.

Topology of Polymers

Author : Koya Shimokawa
Publisher : Springer Nature
ISBN 13 : 4431568883
Total Pages : 85 pages
Book Rating : 4.4/5 (315 download)

DOWNLOAD NOW!

Book Synopsis Topology of Polymers by : Koya Shimokawa

Download or read book Topology of Polymers written by Koya Shimokawa and published by Springer Nature. This book was released on 2019-12-06 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plastics, films, and synthetic fibers are among typical examples of polymer materials fabricated industrially in massive quantities as the basis of modern social life. By comparison, polymers from biological resources, including proteins, DNAs, and cotton fibers, are essential in various processes in living systems. Such polymers are molecular substances, constituted by the linking of hundreds to tens of thousands of small chemical unit (monomer) components. Thus, the form of polymer molecules is frequently expressed by line geometries, and their linear and non-linear forms are believed to constitute the fundamental basis for their properties and functions. In the field of polymer chemistry and polymer materials science, the choice of macromolecules has continuously been extended from linear or randomly branched forms toward a variety of precisely controlled topologies by the introduction of intriguing synthetic techniques. Moreover, during the first decade of this century, a number of impressive breakthroughs have been achieved to produce an important class of polymers having a variety of cyclic and multicyclic topologies. These developments now offer unique opportunities in polymer materials design to create unique properties and functions based on the form, i.e., topology, of polymer molecules. The introduction and application of topological geometry (soft geometry) to polymer molecules is a crucial requirement to account for the basic geometrical properties of polymer chains uniquely flexible in nature, in contrast to small chemical compounds conceived upon Euclidian geometry (hard geometry) principles. Topological geometry and graph theory are introduced for the systematic classification and notation of the non-linear constructions of polymer molecules, including not only branched but also single cyclic and multicyclic polymer topologies. On that basis, the geometrical–topological relationship between different polymers having distinctive constructions is discussed. A unique conception of topological isomerism is thus formed, which contrasts with that of conventional constitutional and stereoisomerism occurring in small chemical compounds. Through the close collaboration of topology experts Shimokawa and Ishihara and the polymer chemist Tezuka, this monograph covers the fundamentals and selected current topics of topology applied in polymers and topological polymer chemistry. In particular, the aim is to provide novel insights jointly revealed through a unique interaction between mathematics (topology) and polymer materials science.

Topology and Geometry in Polymer Science

Author : Stuart G. Whittington
Publisher : Springer Science & Business Media
ISBN 13 : 9780387985800
Total Pages : 228 pages
Book Rating : 4.9/5 (858 download)

DOWNLOAD NOW!

Book Synopsis Topology and Geometry in Polymer Science by : Stuart G. Whittington

Download or read book Topology and Geometry in Polymer Science written by Stuart G. Whittington and published by Springer Science & Business Media. This book was released on 1998-08-13 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions from a workshop on topology and geometry of polymers, held at the IMA in June 1996, which brought together topologists, combinatorialists, theoretical physicists and polymer scientists, with a common interest in polymer topology. Polymers can be highly self-entangled even in dilute solution. In the melt the inter- and intra-chain entanglements can dominate the rheological properties of these phenomena. Although the possibility of knotting in ring polymers has been recognized for more than thirty years it is only recently that the powerful methods of algebraic topology have been used in treating models of polymers. This book contains a series of chapters which review the current state of the field and give an up to date account of what is known and perhaps more importantly, what is still unknown. The field abounds with open problems. The book is of interest to workers in polymer statistical mechanics but will also be useful as an introduction to topological methods for polymer scientists, and will introduce mathematicians to an area of science where topological approaches are making a substantial contribution.

New Scientific Applications of Geometry and Topology

Author : De Witt L. Sumners
Publisher : American Mathematical Soc.
ISBN 13 : 9780821855027
Total Pages : 266 pages
Book Rating : 4.8/5 (55 download)

DOWNLOAD NOW!

Book Synopsis New Scientific Applications of Geometry and Topology by : De Witt L. Sumners

Download or read book New Scientific Applications of Geometry and Topology written by De Witt L. Sumners and published by American Mathematical Soc.. This book was released on 1992 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and topology are subjects generally considered to be "pure" mathematics. Recently, however, some of the methods and results in these two areas have found new utility in both wet-lab science (biology and chemistry) and theoretical physics. Conversely, science is influencing mathematics, from posing questions that call for the construction of mathematical models to exporting theoretical methods of attack on long-standing problems of mathematical interest. Based on an AMS Short Course held in January 1992, this book contains six introductory articles on these intriguing new connections. There are articles by a chemist and a biologist about mathematics, and four articles by mathematicians writing about science and mathematics involved. Because this book communicates the excitement and utility of mathematics research at an elementary level, it is an excellent textbook in an advanced undergraduate mathematics course.

The Role of Topology in Materials

Author : Sanju Gupta
Publisher : Springer
ISBN 13 : 3319765965
Total Pages : 307 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!

Book Synopsis The Role of Topology in Materials by : Sanju Gupta

Download or read book The Role of Topology in Materials written by Sanju Gupta and published by Springer. This book was released on 2018-04-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure–property–function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.

Topological Polymer Chemistry

Author : Yasuyuki Tezuka
Publisher : World Scientific
ISBN 13 : 9814401285
Total Pages : 365 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Topological Polymer Chemistry by : Yasuyuki Tezuka

Download or read book Topological Polymer Chemistry written by Yasuyuki Tezuka and published by World Scientific. This book was released on 2013 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are examples aplenty in the macroscopic world that demonstrate the form of objects directing their functions and properties. On the other hand, the fabrication of extremely small objects having precisely defined structures has only recently become an attractive challenge, which is now opening the door to nanoscience and nanotechnology.In the field of synthetic polymer chemistry, a number of critical breakthroughs have been achieved during the first decade of this century to produce an important class of polymers having a variety of cyclic and multicyclic topologies. These developments now offer unique opportunities in polymer materials design to create unprecedented properties and functions simply based on the form, i.e. topology, of polymer molecules.In this book on topological polymer chemistry, the important developments in this growing area will be collected for the first time, with particular emphasis on new conceptual insights for polymer chemistry and polymer materials. The book will systematically review topological polymer chemistry from basic aspects to practice, and give a broad overview of cyclic polymers covering new synthesis, structure characterization, basic properties/functions and the eventual applications.

Applications of Contact Geometry and Topology in Physics

Author : Arkady Leonidovich Kholodenko
Publisher : World Scientific
ISBN 13 : 9814412090
Total Pages : 492 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Applications of Contact Geometry and Topology in Physics by : Arkady Leonidovich Kholodenko

Download or read book Applications of Contact Geometry and Topology in Physics written by Arkady Leonidovich Kholodenko and published by World Scientific. This book was released on 2013 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although contact geometry and topology is briefly discussed in V I Arnol''d''s book Mathematical Methods of Classical Mechanics (Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges An Introduction to Contact Topology (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph Contact Geometry and Nonlinear Differential Equations (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mechanics and quantum computers, etc. The book is written in the style of famous Landau-Lifshitz (L-L) multivolume course in theoretical physics. This means that its readers are expected to have solid background in theoretical physics (at least at the level of the L-L course). No prior knowledge of specialized mathematics is required. All needed new mathematics is given in the context of discussed physical problems. As in the L-L course some problems/exercises are formulated along the way and, again as in the L-L course, these are always supplemented by either solutions or by hints (with exact references). Unlike the L-L course, though, some definitions, theorems, and remarks are also presented. This is done with the purpose of stimulating the interest of our readers in deeper study of subject matters discussed in the text.

The Role of Topology in Materials

Author : Sanju Gupta
Publisher :
ISBN 13 : 9783319765976
Total Pages : 297 pages
Book Rating : 4.7/5 (659 download)

DOWNLOAD NOW!

Book Synopsis The Role of Topology in Materials by : Sanju Gupta

Download or read book The Role of Topology in Materials written by Sanju Gupta and published by . This book was released on 2018 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure-property-function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.

Topology And Physics

Author : Chen Ning Yang
Publisher : World Scientific
ISBN 13 : 9813278684
Total Pages : 231 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!

Book Synopsis Topology And Physics by : Chen Ning Yang

Download or read book Topology And Physics written by Chen Ning Yang and published by World Scientific. This book was released on 2019-01-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems … The book explores many interesting and novel topics that lie at the intersection between gravity, quantum fields, condensed matter, physical cosmology and topology … A rich, well-organized, and comprehensive overview of remarkable and insightful connections between physics and topology is here made available to the physics reader.'Contemporary PhysicsSince its birth in Poincaré's seminal 1894 'Analysis Situs', topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably — resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences — finds its prominent role in physics. From Chern-Simons theory to topological quantum field theory, from knot invariants to Calabi-Yau compactification in string theory, from spacetime topology in cosmology to the recent Nobel Prize winning work on topological insulators, the interactions between topology and physics have been a triumph over the past few decades.In this eponymous volume, we are honoured to have contributions from an assembly of grand masters of the field, guiding us with their world-renowned expertise on the subject of the interplay between 'Topology' and 'Physics'. Beginning with a preface by Chen Ning Yang on his recollections of the early days, we proceed to a novel view of nuclei from the perspective of complex geometry by Sir Michael Atiyah and Nick Manton, followed by an entrée toward recent developments in two-dimensional gravity and intersection theory on the moduli space of Riemann surfaces by Robbert Dijkgraaf and Edward Witten; a study of Majorana fermions and relations to the Braid group by Louis H Kauffman; a pioneering investigation on arithmetic gauge theory by Minhyong Kim; an anecdote-enriched review of singularity theorems in black-hole physics by Sir Roger Penrose; an adventure beyond anyons by Zhenghan Wang; an aperçu on topological insulators from first-principle calculations by Haijun Zhang and Shou-Cheng Zhang; finishing with synopsis on quantum information theory as one of the four revolutions in physics and the second quantum revolution by Xiao-Gang Wen. We hope that this book will serve to inspire the research community.

University of Michigan Official Publication

Author : University of Michigan
Publisher : UM Libraries
ISBN 13 :
Total Pages : 310 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis University of Michigan Official Publication by : University of Michigan

Download or read book University of Michigan Official Publication written by University of Michigan and published by UM Libraries. This book was released on 1997 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each number is the catalogue of a specific school or college of the University.

1st International Conference on 3D Materials Science, 2012

Author : Marc De Graef
Publisher : Springer
ISBN 13 : 3319487620
Total Pages : 249 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!

Book Synopsis 1st International Conference on 3D Materials Science, 2012 by : Marc De Graef

Download or read book 1st International Conference on 3D Materials Science, 2012 written by Marc De Graef and published by Springer. This book was released on 2016-12-02 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing a critical growth area in materials science, this volume features papers presented at the 2012 International Conference on 3D Materials Science, organized by The Minerals, Metals & Materials Society (TMS). With the top researchers in the world assessing the state-of-the-art within the various elements of three-dimensional materials science, this collection provides the premier forum for authoritative presentations on all aspects of the science, including characterization, visualization, quantitative analysis, modeling, and investigation of structure-property relationships of materials.

Porous Polymer Science and Applications

Author : Inamuddin
Publisher : CRC Press
ISBN 13 : 1000567168
Total Pages : 415 pages
Book Rating : 4.0/5 (5 download)

DOWNLOAD NOW!

Book Synopsis Porous Polymer Science and Applications by : Inamuddin

Download or read book Porous Polymer Science and Applications written by Inamuddin and published by CRC Press. This book was released on 2022-05-02 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Porous Polymer Science and Applications aims to provide recent developments and advances in synthesis, tuning parameters, and applications of porous polymers. This book brings together reviews written by highly accomplished panels of experts working in the area of porous polymers. It encompasses basic studies and addresses topics of novel issues concerning the applications of porous polymers. Chapter topics span basic studies, novel issues, and applications addressing all aspects in a one-stop reference on porous polymers. Applications discussed include catalysis, gas storage, energy and environmental sectors making this an invaluable guide for students, professors, scientists and R&D industrial experts working in the field of material science and engineering and particularly energy conversion and storage. Additional features include: Provides a comprehensive introduction to porous polymers addressing design, synthesis, structure, properties and characterization. Covers task-specific applications of porous polymers. Explores the advantages and opportunities of these materials for most major fields of science and engineering. Outlines novel research areas and potential development and expansion areas.

Energy of Knots and Conformal Geometry

Author : Jun O'Hara
Publisher : World Scientific
ISBN 13 : 9789812795304
Total Pages : 308 pages
Book Rating : 4.7/5 (953 download)

DOWNLOAD NOW!

Book Synopsis Energy of Knots and Conformal Geometry by : Jun O'Hara

Download or read book Energy of Knots and Conformal Geometry written by Jun O'Hara and published by World Scientific. This book was released on 2003 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy of knots is a theory that was introduced to create a OC canonical configurationOCO of a knot OCo a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a OC canonical configurationOCO of a knot in each knot type. It also considers this problems in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting through numerical experiments. Contents: In Search of the OC Optimal EmbeddingOCO of a Knot: -Energy Functional E (); On E (2); L p Norm Energy with Higher Index; Numerical Experiments; Stereo Pictures of E (2) Minimizers; Energy of Knots in a Riemannian Manifold; Physical Knot Energies; Energy of Knots from a Conformal Geometric Viewpoint: Preparation from Conformal Geometry; The Space of Non-Trivial Spheres of a Knot; The Infinitesimal Cross Ratio; The Conformal Sin Energy E sin (c) Measure of Non-Trivial Spheres; Appendices: Generalization of the Gauss Formula for the Linking Number; The 3-Tuple Map to the Set of Circles in S 3; Conformal Moduli of a Solid Torus; Kirchhoff Elastica; Open Problems and Dreams. Readership: Graduate students and researchers in geometry & topology and numerical & computational mathematics."

The Cumulative Book Index

Author :
Publisher :
ISBN 13 :
Total Pages : 2520 pages
Book Rating : 4.0/5 ( download)

DOWNLOAD NOW!

Book Synopsis The Cumulative Book Index by :

Download or read book The Cumulative Book Index written by and published by . This book was released on 1999 with total page 2520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Polymer Science and Engineering

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309049989
Total Pages : 193 pages
Book Rating : 4.3/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Polymer Science and Engineering by : National Research Council

Download or read book Polymer Science and Engineering written by National Research Council and published by National Academies Press. This book was released on 1994-01-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymers are used in everything from nylon stockings to commercial aircraft to artificial heart valves, and they have a key role in addressing international competitiveness and other national issues. Polymer Science and Engineering explores the universe of polymers, describing their properties and wide-ranging potential, and presents the state of the science, with a hard look at downward trends in research support. Leading experts offer findings, recommendations, and research directions. Lively vignettes provide snapshots of polymers in everyday applications. The volume includes an overview of the use of polymers in such fields as medicine and biotechnology, information and communication, housing and construction, energy and transportation, national defense, and environmental protection. The committee looks at the various classes of polymersâ€"plastics, fibers, composites, and other materials, as well as polymers used as membranes and coatingsâ€"and how their composition and specific methods of processing result in unparalleled usefulness. The reader can also learn the science behind the technology, including efforts to model polymer synthesis after nature's methods, and breakthroughs in characterizing polymer properties needed for twenty-first-century applications. This informative volume will be important to chemists, engineers, materials scientists, researchers, industrialists, and policymakers interested in the role of polymers, as well as to science and engineering educators and students.

Machine Learning and Data Mining in Materials Science

Author : Norbert Huber
Publisher : Frontiers Media SA
ISBN 13 : 2889636518
Total Pages : 235 pages
Book Rating : 4.8/5 (896 download)

DOWNLOAD NOW!

Book Synopsis Machine Learning and Data Mining in Materials Science by : Norbert Huber

Download or read book Machine Learning and Data Mining in Materials Science written by Norbert Huber and published by Frontiers Media SA. This book was released on 2020-04-22 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Self-rolled Micro- and Nanoarchitectures

Author : Vladimir M. Fomin
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110575574
Total Pages : 148 pages
Book Rating : 4.1/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Self-rolled Micro- and Nanoarchitectures by : Vladimir M. Fomin

Download or read book Self-rolled Micro- and Nanoarchitectures written by Vladimir M. Fomin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-11-09 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work shows the fascination of topology- and geometry-governed properties of self-rolled micro- and nanoarchitectures. The author provides an in-depth representation of the advanced theoretical and numerical models for analyzing key effects, which underlie engineering of transport, superconducting and optical properties of micro- and nanoarchitectures.