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Author : Elizabeth Harwick Lee
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (258 download)
Download or read book Semi-metric Topological Spaces written by Elizabeth Harwick Lee and published by . This book was released on 1970 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Somashekhar A. Naimpally
Publisher : World Scientific
ISBN 13 : 9814407666
Total Pages : 294 pages
Book Rating : 4.8/5 (144 download)
Download or read book Topology with Applications written by Somashekhar A. Naimpally and published by World Scientific. This book was released on 2013 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.
Author : Wilson Alexander Sutherland
Publisher : Oxford University Press
ISBN 13 : 9780198531616
Total Pages : 200 pages
Book Rating : 4.5/5 (316 download)
Download or read book Introduction to Metric and Topological Spaces written by Wilson Alexander Sutherland and published by Oxford University Press. This book was released on 1975 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This book introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces. The book is aimed primarily at the second-year mathematics student, and numerous exercises are included.
Author : Wilson A Sutherland
Publisher : Oxford University Press
ISBN 13 : 0191568309
Total Pages : 219 pages
Book Rating : 4.1/5 (915 download)
Download or read book Introduction to Metric and Topological Spaces written by Wilson A Sutherland and published by Oxford University Press. This book was released on 2009-06-18 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as `rubber-sheet geometry', with pictures of Möbius bands, doughnuts, Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second- or third-year mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book.
Author : Benjamin T. Sims
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (292 download)
Download or read book Some Properties and Generalizations of Semi-metric Spaces written by Benjamin T. Sims and published by . This book was released on 1962 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leopoldo Nachbin
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topology and Order written by Leopoldo Nachbin and published by . This book was released on 1965 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shou Lin
Publisher : Springer
ISBN 13 : 9462392161
Total Pages : 341 pages
Book Rating : 4.4/5 (623 download)
Download or read book Generalized Metric Spaces and Mappings written by Shou Lin and published by Springer. This book was released on 2016-10-20 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces". Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.
Author : Edward E. Grace
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.0/5 ( download)
Download or read book Topology Conference written by Edward E. Grace and published by . This book was released on 1969 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mary Ann Rhodes
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (22 download)
Download or read book Concerning Continuous Semi-metric Spaces written by Mary Ann Rhodes and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claude Berge
Publisher : Courier Corporation
ISBN 13 : 9780486696539
Total Pages : 290 pages
Book Rating : 4.6/5 (965 download)
Download or read book Topological Spaces written by Claude Berge and published by Courier Corporation. This book was released on 1997-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent study of sets in topological spaces and topological vector spaces includes systematic development of the properties of multi-valued functions. Topics include families of sets, topological spaces, mappings of one set into another, ordered sets, more. Examples included from different domains. 1963 edition.
Author : R. H. Bing
Publisher : Princeton University Press
ISBN 13 : 0691080569
Total Pages : 260 pages
Book Rating : 4.6/5 (91 download)
Download or read book Topology Seminar Wisconsin, 1965 written by R. H. Bing and published by Princeton University Press. This book was released on 1966-11-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.
Author : Robert Eugene Stubblefield
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (3 download)
Download or read book Some Results in Semi-metric Spaces written by Robert Eugene Stubblefield and published by . This book was released on 1972 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K.P. Hart
Publisher : Elsevier
ISBN 13 : 0080530869
Total Pages : 537 pages
Book Rating : 4.0/5 (85 download)
Download or read book Encyclopedia of General Topology written by K.P. Hart and published by Elsevier. This book was released on 2003-11-18 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.Key features:• More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms
Author : William W. Fairchild
Publisher : Saunders Limited.
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.:/5 (42 download)
Download or read book Topology written by William W. Fairchild and published by Saunders Limited.. This book was released on 1971 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlo Alabiso
Publisher : Springer Nature
ISBN 13 : 3030674177
Total Pages : 343 pages
Book Rating : 4.0/5 (36 download)
Download or read book A Primer on Hilbert Space Theory written by Carlo Alabiso and published by Springer Nature. This book was released on 2021-03-03 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors’s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.
Author : Robert Lee Moore
Publisher : American Mathematical Soc.
ISBN 13 : 0821810138
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)
Download or read book Foundations of Point Set Theory written by Robert Lee Moore and published by American Mathematical Soc.. This book was released on 1932-12-31 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Somashekhar Naimpally
Publisher : Walter de Gruyter
ISBN 13 : 3486598600
Total Pages : 220 pages
Book Rating : 4.4/5 (865 download)
Download or read book Proximity Approach to Problems in Topology and Analysis written by Somashekhar Naimpally and published by Walter de Gruyter. This book was released on 2010-10-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch konzentriert das aktuelle Gesamtwissen zum Proximity-Konzept und stellt es dem Leser in gut strukturierter Form dar. Hauptaugenmerk liegt auf den vielfältigen Möglichkeiten, die sich aus dem Proximity-Konzept der räumlichen Nähe und seiner Verallgemeinerung im Nearness-Konzept ergeben.
