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Author: Erica Flapan
Publisher: Cambridge University Press
ISBN: 9780521664820
Category : Mathematics
Languages : en
Pages : 268
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Book Description
The applications of topological techniques for understanding molecular structures have become increasingly important over the past thirty years. In this topology text, the reader will learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite; all the relevant background is provided. The text is enhanced by nearly 200 illustrations and more than 100 exercises. Reading this fascinating book, undergraduate mathematics students can escape the world of pure abstract theory and enter that of real molecules, while chemists and biologists will find simple, clear but rigorous definitions of mathematical concepts they handle intuitively in their work.
Author: Erica Flapan
Publisher: Cambridge University Press
ISBN: 9780521664820
Category : Mathematics
Languages : en
Pages : 268
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Book Description
The applications of topological techniques for understanding molecular structures have become increasingly important over the past thirty years. In this topology text, the reader will learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite; all the relevant background is provided. The text is enhanced by nearly 200 illustrations and more than 100 exercises. Reading this fascinating book, undergraduate mathematics students can escape the world of pure abstract theory and enter that of real molecules, while chemists and biologists will find simple, clear but rigorous definitions of mathematical concepts they handle intuitively in their work.
Author: D H Rouvray
Publisher: Elsevier
ISBN: 0857099612
Category : Science
Languages : en
Pages : 400
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Book Description
This volume addresses a number of topological themes of direct relevance to chemists. Topological concepts are now regularly applied in wide areas of chemistry including molecular engineering and design, chemical toxicology, the study of molecular shape, crystal and surface structures, chemical bonding, macromolecular species such as polymers and DNA, and environmental chemistry. Currently, the design and synthesis of new drugs and agrochemicals are of especial importance. The book's prime focus is on the role played by topological indices in the description and characterisation of molecular species. The Wiener index along with a variety of other major topological indices, are discussed with particular reference to the powerful and much used connectivity indices. In this book an international team of leading experts review their respective fields and present their findings.The considerable benefits offered by topological indices in the investigation of chemical problems in science, medicine, and industry are highlighted. The volume records proceedings of the Harry Wiener Memorial Conference on the Role of Topology in Chemistry, held at the University of Georgia in March 2001, and serves as a fitting tribute to the chemical contributions of the late Harry Wiener. Focuses on the role played by topological indices in the description and characterisation of molecular species Records the proceedings of the Harry Weiner Memorial Conference on the Role of Topology in Chemistry, held at the University of Georgia in March 2001 Along with a variety of other major topological indices, the Wiener index is discussed with particular reference to the powerful and much-used connectivity indices
Author: Yasuyuki Tezuka
Publisher: Springer Nature
ISBN: 9811668078
Category : Science
Languages : en
Pages : 430
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Book Description
This book provides a comprehensive description of topological polymers, an emerging research area in polymer science and polymer materials engineering. The precision polymer topology designing is critical to realizing the unique polymer properties and functions leading to their eventual applications. The prominent contributors are led by Principal Editor Yasuyuki Tezuka and Co-Editor Tetsuo Deguchi. Important ongoing achievements and anticipated breakthroughs in topological polymers are presented with an emphasis on the spectacular diversification of polymer constructions. The book serves readers collectively to acquire comprehensive insights over exciting innovations ongoing in topological polymer chemistry, encompassing topological geometry analysis, classification, physical characterization by simulation and the eventual chemical syntheses, with the supplementary focus on the polymer folding, invoked with the ongoing breakthrough of the precision AI prediction of protein folding. The current revolutionary developments in synthetic approaches specifically for single cyclic (ring) polymers and the topology-directed properties/functions uncovered thereby are outlined as a showcase example. This book is especially beneficial to academic personnel in universities and to researchers working in relevant institutions and companies. Although the level of the book is advanced, it can serve as a good reference book for graduate students and postdocs as a source of valuable knowledge of cutting-edge topics and progress in polymer chemistry.
Author: Yasuyuki Tezuka
Publisher: World Scientific
ISBN: 9814401293
Category : Science
Languages : en
Pages : 364
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Book Description
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. Contents:Topological Polymer Chemistry - Concepts and Practices:Systematic Classification of Nonlinear Polymer Topologies (Yasuyuki Tezuka)Topological Isomers in Polymer Molecules (Yasuyuki Tezuka)Telechelics Having Cyclic Onium Salt Groups (Yasuyuki Tezuka)Electrostatic Self-Assembly and Covalent Fixation (ESA-CF) Process (Yasuyuki Tezuka)Dynamic Control of Polymer Topologies by the ESA-CF Process (Yasuyuki Tezuka)Cyclic and Multicyclic Polymers Having Functional Groups (Kyklo-Telechelics) (Yasuyuki Tezuka)Metathesis Polymer Cyclization (Yasuyuki Tezuka)Multicyclic Polymer Topologies by the ESA-CF with Kyklo-Telechelic Precursors (Yasuyuki Tezuka)Cyclic Polymers - Developments in the New Century:Overview on Physical Properties of Cyclic Polymers (Jacques Roovers)The Ring-Closure Approach for Synthesizing Cyclic Polymers (Boyu Zhang and Scott M Grayson)Cyclic Macromonomers: Synthesis and Properties (Masataka Kubo)Topological Effects on the Statistical and Dynamical Properties of Ring Polymers in Solution (Tetsuo Deguchi and Kyoichi Tsurusaki)Dynamics of Cyclic Polymers Revealed by Single-Molecule Spectroscopy (Satoshi Habuchi)Progress in the Rheology of Cyclic Polymers (Dimitris Vlassopoulos, Rossana Pasquino and Frank SnijkersCrystallization of Cyclic and Branched Polymers (Hiroki Takeshita and Tomoo Shiomi)Self-Assembly and Functions of Cyclic Polymers (Eisuke Baba and Takuya Yamamoto) Readership: Graduate students, professionals and researchers in chemistry. Keywords:Topological Polymer Chemistry;Cyclic Polymers;Ring Polymers;Macromolecular Architectures;Complex Polymer Structures
Author: Malgorzata Biczysko
Publisher: Frontiers Media SA
ISBN: 2889711102
Category : Science
Languages : en
Pages : 193
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Book Description
Author: Koya Shimokawa
Publisher: Springer Nature
ISBN: 4431568883
Category : Mathematics
Languages : en
Pages : 81
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Book Description
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.
Author: D Bonchev
Publisher: CRC Press
ISBN: 9789056991746
Category : Science
Languages : en
Pages : 354
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Book Description
Topology is becoming increasingly important in chemistry because of its rapidly growing number of applications. Here, its many uses are reviewed and the authors anticipate what future developments might bring. This work shows how significant new insights can be gained by representing molecular species as topological structures known as topographs. The text explores carbon structures, establishing how the stability of fullerene species can be accounted for and also predicting which fullerenes will be most stable. It is pointed out that molecular topology, rather than molecular geometry, characterizes molecular shape and various tools for shape characterization are described. Several of the fascinating ideas that arise from regarding topology as a unifying principle in chemical bonding theory are discussed, and in particular, the novel concept of the molecular topoid is shown to have numerous uses. The topological description of polymers is examined and the reader is gently guided through the realms of branched and tangled polymers. Overall, this work outlines the fact that topology is not only a theoretical discipline but also one that has practical applications and high relevance to the whole domain of chemistry.
Author: Erica Flapan
Publisher: American Mathematical Soc.
ISBN: 1470425351
Category : Algebraic topology
Languages : en
Pages : 386
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Book Description
This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and engaging while drawing students in to learn about fundamental topological and geometric ideas. Though the book can be read and enjoyed by nonmathematicians, college students, or even eager high school students, it is intended to be used as an undergraduate textbook. The book is divided into three parts corresponding to the three areas referred to in the title. Part 1 develops techniques that enable two- and three-dimensional creatures to visualize possible shapes for their universe and to use topological and geometric properties to distinguish one such space from another. Part 2 is an introduction to knot theory with an emphasis on invariants. Part 3 presents applications of topology and geometry to molecular symmetries, DNA, and proteins. Each chapter ends with exercises that allow for better understanding of the material. The style of the book is informal and lively. Though all of the definitions and theorems are explicitly stated, they are given in an intuitive rather than a rigorous form, with several hundreds of figures illustrating the exposition. This allows students to develop intuition about topology and geometry without getting bogged down in technical details.
Author: Danail Bonchev
Publisher: CRC Press
ISBN: 9789056992408
Category : Science
Languages : en
Pages : 392
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Book Description
Topology has been extensively applied in the study of chemically linked and knotted structures, and also in the study of many biologically significant molecules such as proteins and DNA. These are the themes that are addressed in this volume of the Mathematical Chemistry series. The topological chirality of knotted and linked molecular species and the invariants that may characterize them are explored in detail.
Author: Andrew D. Bates
Publisher: Oxford University Press, USA
ISBN: 9780198567097
Category : Science
Languages : en
Pages : 224
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Book Description
"A key aspect of DNA is its ability to form a variety of structures, this book explains the origins and importance of such structures"--Provided by publisher.
