It takes the average reader 5 hours and 3 minutes to read Topology with Applications by Somashekhar A Naimpally
Assuming a reading speed of 250 words per minute. Learn more
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. Contents:Basic FrameworkWhat is Topology?Symmetric ProximityContinuity and Proximal ContinuitySeparation AxiomsUniform Spaces, Filters and NetsCompactness and Higher Separation AxiomsInitial and Final Structures, EmbeddingGrills, Clusters, Bunches and Proximal Wallman CompactificationExtensions of Continuous Functions: Taimanov TheoremMetrisationFunction Space TopologiesHyperspace TopologiesSelected Topics: Uniformity and Metrisation Readership: 3rd year undergraduate students, graduate students and researchers in topology; professional and practitioners who are interested in applying topology and its applications especially in science and engineering. Keywords:Applications;Close;Far;Near;Nearness;Remoteness;Proximity;Set Theory;TopologyKey Features:Complete overview of famous results in topologyFirst topology textbook to link proximity space theory (nearness and remoteness) with well-known results in topologyPresentation of a collection of new applications in a variety of areas such as digital image analysis, stem cell biology, visual merchandising, forgery and paleontologyThe materials in the book have been class-tested over the past thirty years by the authorsReviews: “The book contains a lot of mathematical material from different fields that can complement and enrich a more standard brief introduction into the field of general topology.” Zentralblatt MATH
Topology with Applications by Somashekhar A Naimpally is 296 pages long, and a total of 75,776 words.
This makes it 100% the length of the average book. It also has 93% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 54 minutes to read Topology with Applications aloud.
Topology with Applications is suitable for students ages 12 and up.
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