Introduction to Topology and Modern Analysis PDF Download
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Author: George Finlay Simmons
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 392
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Book Description
Author: George Finlay Simmons
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 392
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Book Description
Author: Norman R. Howes
Publisher: Springer Science & Business Media
ISBN: 1461208335
Category : Mathematics
Languages : en
Pages : 434
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Book Description
The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great deal of harmonic analysis is done on topological groups and much offimctional analysis is done on various topological algebraic structures. All of these spaces are special cases of uniform spaces. Modern topology often involves spaces that are more general than uniform spaces, but the uniform spaces provide a setting general enough to investigate many of the most important ideas in modern topology, including the theories of Stone-Cech compactification, Hewitt Real-compactification and Tamano-Morita Para compactification, together with the theory of rings of continuous functions, while at the same time retaining a structure rich enough to support modern analysis.
Author: George Finlay Simmons
Publisher: Ingram
ISBN: 9781575242385
Category : Mathematics
Languages : en
Pages : 372
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Book Description
This material is intended to contribute to a wider appreciation of the mathematical words "continuity and linearity". The book's purpose is to illuminate the meanings of these words and their relation to each other --- Product Description.
Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486469034
Category : Mathematics
Languages : en
Pages : 399
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Book Description
Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.
Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 9780486640624
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.
Author: Tai-Danae Bradley
Publisher: MIT Press
ISBN: 0262359626
Category : Mathematics
Languages : en
Pages : 167
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Book Description
A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
Author: Sudhir Kumar Pundir
Publisher:
ISBN: 9789354660108
Category : Mathematics
Languages : en
Pages : 412
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Book Description
An introductory text aimed at graduate and postgraduate students of mathematics.
Author: Shmuel Kantorovitz
Publisher: Oxford University Press on Demand
ISBN: 0198526563
Category : Psychology
Languages : en
Pages : 447
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Book Description
This text is based on lectures given by the author in measure theory, functional analysis, Banach algebras, spectral theory (of bounded and unbounded operators), semigroups of operators, probability and mathematical statistics, and partial differential equations.
Author: Nikolaos Katzourakis
Publisher: CRC Press
ISBN: 1351765337
Category : Mathematics
Languages : en
Pages : 558
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Book Description
Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies. Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.
Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486493539
Category : Mathematics
Languages : en
Pages : 298
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Book Description
"Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators,inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections throughout the book. 1978 edition"--
