Convergence And Uniformity In Topology Am 2 Volume 2

Author : John W. Tukey
Publisher : Princeton University Press
ISBN 13 : 1400882192
Total Pages : 90 pages
Book Rating : 4.99/5 ( download)

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Download or read book Convergence and Uniformity in Topology. (AM-2), Volume 2 written by John W. Tukey and published by Princeton University Press. This book was released on 2016-03-02 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Convergence and Uniformity in Topology. (AM-2), Volume 2, will be forthcoming.

Author : John Wilder Tukey
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.48/5 ( download)

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Download or read book Convergence and uniformity in topology written by John Wilder Tukey and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John W. Tukey
Publisher :
ISBN 13 :
Total Pages : 89 pages
Book Rating : 4.24/5 ( download)

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Download or read book Convergence and Uniformity in Topology written by John W. Tukey and published by . This book was released on 1958 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 9780080957326
Total Pages : 478 pages
Book Rating : 4.23/5 ( download)

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Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Author : Lorenz J. Halbeisen
Publisher : Springer Science & Business Media
ISBN 13 : 1447121732
Total Pages : 449 pages
Book Rating : 4.32/5 ( download)

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Download or read book Combinatorial Set Theory written by Lorenz J. Halbeisen and published by Springer Science & Business Media. This book was released on 2011-11-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.

Author : James F. Peters
Publisher : Springer Science & Business Media
ISBN 13 : 3642538452
Total Pages : 414 pages
Book Rating : 4.52/5 ( download)

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Download or read book Topology of Digital Images written by James F. Peters and published by Springer Science & Business Media. This book was released on 2014-01-28 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book carries forward recent work on visual patterns and structures in digital images and introduces a near set-based a topology of digital images. Visual patterns arise naturally in digital images viewed as sets of non-abstract points endowed with some form of proximity (nearness) relation. Proximity relations make it possible to construct uniform topologies on the sets of points that constitute a digital image. In keeping with an interest in gaining an understanding of digital images themselves as a rich source of patterns, this book introduces the basics of digital images from a computer vision perspective. In parallel with a computer vision perspective on digital images, this book also introduces the basics of proximity spaces. Not only the traditional view of spatial proximity relations but also the more recent descriptive proximity relations are considered. The beauty of the descriptive proximity approach is that it is possible to discover visual set patterns among sets that are non-overlapping and non-adjacent spatially. By combining the spatial proximity and descriptive proximity approaches, the search for salient visual patterns in digital images is enriched, deepened and broadened. A generous provision of Matlab and Mathematica scripts are used in this book to lay bare the fabric and essential features of digital images for those who are interested in finding visual patterns in images. The combination of computer vision techniques and topological methods lead to a deep understanding of images.

Author : George Temple
Publisher : Springer
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.65/5 ( download)

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Download or read book TEMPLE:100 YEARS MATHEMATICS, RPT written by George Temple and published by Springer. This book was released on 1981 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Katsuro Sakai
Publisher : Springer Science & Business Media
ISBN 13 : 443154397X
Total Pages : 521 pages
Book Rating : 4.78/5 ( download)

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Download or read book Geometric Aspects of General Topology written by Katsuro Sakai and published by Springer Science & Business Media. This book was released on 2013-07-22 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics. These two theories are connected with various fields in geometric topology and in general topology as well. Hence, for students who wish to research subjects in general and geometric topology, understanding these theories will be valuable. Many proofs are illustrated by figures or diagrams, making it easier to understand the ideas of those proofs. Although exercises as such are not included, some results are given with only a sketch of their proofs. Completing the proofs in detail provides good exercise and training for graduate students and will be useful in graduate classes or seminars. Researchers should also find this book very helpful, because it contains many subjects that are not presented in usual textbooks, e.g., dim X × I = dim X + 1 for a metrizable space X; the difference between the small and large inductive dimensions; a hereditarily infinite-dimensional space; the ANR-ness of locally contractible countable-dimensional metrizable spaces; an infinite-dimensional space with finite cohomological dimension; a dimension raising cell-like map; and a non-AR metric linear space. The final chapter enables students to understand how deeply related the two theories are. Simplicial complexes are very useful in topology and are indispensable for studying the theories of both dimension and ANRs. There are many textbooks from which some knowledge of these subjects can be obtained, but no textbook discusses non-locally finite simplicial complexes in detail. So, when we encounter them, we have to refer to the original papers. For instance, J.H.C. Whitehead's theorem on small subdivisions is very important, but its proof cannot be found in any textbook. The homotopy type of simplicial complexes is discussed in textbooks on algebraic topology using CW complexes, but geometrical arguments using simplicial complexes are rather easy.

Author : George Frederick James Temple
Publisher : Bloomsbury Academic
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.92/5 ( download)

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Download or read book 100 Years of Mathematics written by George Frederick James Temple and published by Bloomsbury Academic. This book was released on 1981 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lech T. Polkowski
Publisher : Springer Nature
ISBN 13 : 3031420349
Total Pages : 489 pages
Book Rating : 4.44/5 ( download)

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Download or read book Logic: Reference Book for Computer Scientists written by Lech T. Polkowski and published by Springer Nature. This book was released on 2023-11-04 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives all interested in computer science, a deep review of relevant aspects of logic. In its scope are classical and non-classical logics. The content will be valid as well for those interested in linguistic, philosophy and many other areas of research both in humane and technical branches of science as logic permeates all genuine realms of science. The book contains a substantial part of classical results in logic like those by Gödel, Tarski, Church and Rosser as well as later developments like many-valued logics, logics for knowledge engineering, first-order logics plus inductive definitions. The exposition is rigorous yet without unnecessary abstractionism, so it should be accessible to readers from many disciplines of science. Each chapter contains a problem section, and problems are borrowed from research publications which allows for passing additional information, and it allows readers to test their skills. Extensive bibliography of 270 positions directs readers to research works of importance.