Download or read book On Topologies Determined by Clustering Sequences a Generalization of Sequential Space written by David Andrew Schedler and published by . This book was released on 1971 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1982-12 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topologies on Groups Determined by Sequences written by Ihor Protasov and published by . This book was released on 1999 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Set Theoretic Topology written by K. Kunen and published by Elsevier. This book was released on 2014-06-28 with total page 1282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest. In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.
Download or read book Bulletin written by Polska Akademia Nauk and published by . This book was released on 1974 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Portugaliae Mathematica written by Antonio A. R. Monteiro and published by . This book was released on 1981 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cellular Structures in Topology written by Rudolf Fritsch and published by Cambridge University Press. This book was released on 1990-09-27 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory.
Download or read book Linear Topological Spaces written by John Leroy Kelley and published by Springer. This book was released on 2013-12-17 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin Canadien de Math matiques written by and published by . This book was released on 1982 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains Proceedings of the Canadian Mathematical Congress, 6th- 1963-
Download or read book Mathematical Reviews written by and published by . This book was released on 1994 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Real Analysis written by Peter A. Loeb and published by Birkhäuser. This book was released on 2016-05-05 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. The first half of the book develops both Lebesgue measure and, with essentially no additional work for the student, general Borel measures for the real line. Notation indicates when a result holds only for Lebesgue measure. Differentiation and absolute continuity are presented using a local maximal function, resulting in an exposition that is both simpler and more general than the traditional approach. The second half deals with general measures and functional analysis, including Hilbert spaces, Fourier series, and the Riesz representation theorem for positive linear functionals on continuous functions with compact support. To correctly discuss weak limits of measures, one needs the notion of a topological space rather than just a metric space, so general topology is introduced in terms of a base of neighborhoods at a point. The development of results then proceeds in parallel with results for metric spaces, where the base is generated by balls centered at a point. The text concludes with appendices on covering theorems for higher dimensions and a short introduction to nonstandard analysis including important applications to probability theory and mathematical economics.
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1977 with total page 1324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Download or read book Topology Conference written by R.F. Dickman and published by Springer. This book was released on 2006-11-15 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology Calculus and Approximation written by Vilmos Komornik and published by Springer. This book was released on 2017-04-04 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Carathéodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.
Download or read book A Study of Triple Sequence Spaces written by Vakeel A. Khan -Ayhan Asi -Nagarajan Subramanian -Hira Fatima and published by HOLISTENCE PUBLICATIONS. This book was released on 2021-05-12 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book completely deals with the study of convergence of triple sequences. The concept of convergence is probably the most valuable notion in order to get a limit of a non convergent bounded sequence. There is one more idea of convergence called statistical convergence, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This thought arises as an example of “convergence in density” which is also premeditated as a summability method. Even unbounded sequences can be dealt with by by means of this method. And the other convergence is “Ideal Convergence” which is a generalization of statistical convergence which was introduced first by Kostyrko. The book also discusses the applications of triple sequence in many theories such as fuzzy theory, Gai Convergence. Written in a self-reliant style, the book discusses in feature the methods of statistical convergence and ideal convergence for triple sequences along with applications and appropriate examples. This book is aimed at both experts and non-experts with a concern in getting familiar with sequence spaces and their applications. It consists of numerous new results which are part of the modern research on these topics. It provides different points of view in one volume, e.g. their topological properties and fuzzy valued study and more. This book presents the significant role of series and sequences play in everyday life, it covers a lot of geometry on triple Sequence Spaces, it discusses the significance of generalized limit, it offers variety and well spectrum of numerous linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main desirability for those who work in Triple Sequence Spaces and would also provide as a good cause of suggestion for those involved with any topic of Functional Analysis.
Download or read book Mathematical Methods for Economic Theory 2 written by James C. Moore and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces
Download or read book Nonstandard Analysis for the Working Mathematician written by Peter A. Loeb and published by Springer. This book was released on 2015-08-26 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler’s internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems. All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics.
