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Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.:/5 (96 download)
Download or read book Topology and Boronel Structure written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 0080871216
Total Pages : 141 pages
Book Rating : 4.0/5 (88 download)
Download or read book Topology and Borel Structure written by and published by Elsevier. This book was released on 2011-08-26 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology and Borel Structure
Author : A. V. Arkhangelʹskiĭ
Publisher : atlantis press
ISBN 13 : 9078677066
Total Pages : 797 pages
Book Rating : 4.0/5 (786 download)
Download or read book Topological Groups and Related Structures written by A. V. Arkhangelʹskiĭ and published by atlantis press. This book was released on 2008 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks.The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short -- almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area.
Author : Lou Van den Dries
Publisher : Cambridge University Press
ISBN 13 : 0521598389
Total Pages : 196 pages
Book Rating : 4.5/5 (215 download)
Download or read book Tame Topology and O-minimal Structures written by Lou Van den Dries and published by Cambridge University Press. This book was released on 1998-05-07 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.
Author : D Bonchev
Publisher : CRC Press
ISBN 13 : 9789056991746
Total Pages : 354 pages
Book Rating : 4.9/5 (917 download)
Download or read book Chemical Topology written by D Bonchev and published by CRC Press. This book was released on 1999-04-23 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Marco Grandis
Publisher : World Scientific
ISBN 13 : 9811248370
Total Pages : 372 pages
Book Rating : 4.8/5 (112 download)
Download or read book Algebraic Topology: A Structural Introduction written by Marco Grandis and published by World Scientific. This book was released on 2021-12-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy Theory and Category Theory which occur in its foundation.This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with a moderate amount of prerequisites — basic general topology and little else — and a moderate progression starting from a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions.It can be used as a textbook for a semester course or self-study, and a guidebook for further study.
Author : Gerhard Preuß
Publisher : Springer
ISBN 13 : 9027726272
Total Pages : 320 pages
Book Rating : 4.0/5 (277 download)
Download or read book Theory of Topological Structures written by Gerhard Preuß and published by Springer. This book was released on 1987-12-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Davide L. Ferrario
Publisher : Springer Science & Business Media
ISBN 13 : 1441972366
Total Pages : 254 pages
Book Rating : 4.4/5 (419 download)
Download or read book Simplicial Structures in Topology written by Davide L. Ferrario and published by Springer Science & Business Media. This book was released on 2010-09-30 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincaré (singular homology is discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text. Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful.
Author : Gerhard Preuß
Publisher : Springer Science & Business Media
ISBN 13 : 9401004897
Total Pages : 306 pages
Book Rating : 4.4/5 (1 download)
Download or read book Foundations of Topology written by Gerhard Preuß and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling problems of a topological nature is used. In this setting semiuniform convergence spaces play an essential role. They include not only convergence structures such as topological structures and limit space structures, but also uniform convergence structures such as uniform structures and uniform limit space structures, and they are suitable for studying continuity, Cauchy continuity and uniform continuity as well as convergence structures in function spaces, e.g. simple convergence, continuous convergence and uniform convergence. Various interesting results are presented which cannot be obtained by using topological or uniform spaces in the usual context. The text is self-contained with the exception of the last chapter, where the intuitive concept of nearness is incorporated in Convenient Topology (there exist already excellent expositions on nearness spaces).
Author : Martin P Bendse
Publisher : Kluwer Academic Pub
ISBN 13 : 9780792320555
Total Pages : 569 pages
Book Rating : 4.3/5 (25 download)
Download or read book Topology Design of Structures written by Martin P Bendse and published by Kluwer Academic Pub. This book was released on 1993 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The efficient use of materials is of great importance, and the choice of the basic topology for the design of structures and mechanical elements is crucial for the performance of sizing of shape optimization. This volume provides a comprehensive review of the state of the art in topology design, spanning fundamental mathematical, mechanical and implementation issues. Topology design of discrete structures involves large scale computational problems and the need to select structural elements from a discrete set of possibilities. The formulation and solution of discrete design problems are described, including new applications of genetic algorithms and dual methods. For continuum problems the emphasis is on the `homogenization method', which employs composite materials as the basis for defining shape in terms of material density, unifying macroscopic structural design optimization and micromechanics. All aspects of this field are covered, including computational aspects and the use of the homogenization method in a computer-aided design environment.
Author : Douglas Harris
Publisher :
ISBN 13 : 9780821899120
Total Pages : 96 pages
Book Rating : 4.8/5 (991 download)
Download or read book Structures in Topology written by Douglas Harris and published by . This book was released on 1971 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold R. Bennett
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topology and Order Structures written by Harold R. Bennett and published by . This book was released on 1981 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (473 download)
Download or read book Topology and Borel Structure written by Jens Peter Reus Christensen and published by . This book was released on 1972 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jens Peter Reus Christensen
Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.:/5 (467 download)
Download or read book Topology and Borel structure : descriptive topology and set theory with applications to functional analysis and measure theory written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Devillers
Publisher : CRC Press
ISBN 13 : 1482296942
Total Pages : 811 pages
Book Rating : 4.4/5 (822 download)
Download or read book Topological Indices and Related Descriptors in QSAR and QSPR written by James Devillers and published by CRC Press. This book was released on 2000-03-09 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Indices and Related Descriptors in QSAR and QSPR reviews the state of the art in this field and highlights the important advances in the generation of descriptors calculated directly from the structure of molecules. This long-awaited comprehensive book provides all the necessary information to calculate and use these descriptors for deriving structure-activity and structure-property relationships. Written by leading experts in the field, this book discusses the physicochemical significance, strengths, and weaknesses of these indices and presents numerous examples of applications. This book will be a valuable reference for anyone involved in the use of QSAR and QSPR in the pharmaceutical, applied chemical, and environmental sciences. It is also suitable for use as a supplementary textbook on related graduate level courses.
Author : Łukasz Komsta
Publisher : CRC Press
ISBN 13 : 1351650440
Total Pages : 588 pages
Book Rating : 4.3/5 (516 download)
Download or read book Chemometrics in Chromatography written by Łukasz Komsta and published by CRC Press. This book was released on 2018-02-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemometrics uses advanced mathematical and statistical algorithms to provide maximum chemical information by analyzing chemical data, and obtain knowledge of chemical systems. Chemometrics significantly extends the possibilities of chromatography and with the technological advances of the personal computer and continuous development of open-source software, many laboratories are interested in incorporating chemometrics into their chromatographic methods. This book is an up-to-date reference that presents the most important information about each area of chemometrics used in chromatography, demonstrating its effective use when applied to a chromatographic separation.
Author :
Publisher : ScholarlyEditions
ISBN 13 : 1481645420
Total Pages : 779 pages
Book Rating : 4.4/5 (816 download)
Download or read book Issues in General Science and Scientific Theory and Method: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2013-01-10 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in General Science and Scientific Theory and Method: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General Science. The editors have built Issues in General Science and Scientific Theory and Method: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General Science in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General Science and Scientific Theory and Method: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
