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Index Analysis: Approach Theory at Work by Lowen, R.

by Lowen, R. | HC | Acceptable
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US $49.96
ApproximatelyAU $76.58
Condition:
Acceptable
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eBay item number:146531849497
Last updated on 23 Jul, 2025 20:40:12 AESTView all revisionsView all revisions

Item specifics

Condition
Acceptable
A book with obvious wear. May have some damage to the cover but integrity still intact. The binding may be slightly damaged but integrity is still intact. Possible writing in margins, possible underlining and highlighting of text, but no missing pages or anything that would compromise the legibility or understanding of the text. See the seller’s listing for full details and description of any imperfections. See all condition definitionsopens in a new window or tab
Seller notes
“Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend ...
Binding
Hardcover
Book Title
Index Analysis
Weight
1 lbs
Product Group
Book
IsTextBook
No
ISBN
9781447164845

About this product

Product Identifiers

Publisher
Springer London, The Limited
ISBN-10
1447164849
ISBN-13
9781447164845
eBay Product ID (ePID)
201617807

Product Key Features

Number of Pages
Xxi, 466 Pages
Publication Name
Index Analysis : Approach Theory at Work
Language
English
Subject
Algebra / Abstract, Functional Analysis, Geometry / General, General, Mathematical Analysis
Publication Year
2015
Type
Textbook
Author
R. Lowen
Subject Area
Mathematics
Series
Springer Monographs in Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
300.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2014-942538
Dewey Edition
23
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
514.325
Table Of Content
Approach spaces.- Topological and metric approach spaces.- Approach invariants.- Index analysis.- Uniform gauge spaces.- Extensions of spaces and morphisms.- Approach theory meets Topology.- Approach theory meets Functional analysis.- Approach theory meets Probability.- Approach theory meets Hyperspaces.- Approach theory meets DCPO's and Domains.- Categorical considerations.
Synopsis
Approach spaces.- Topological and metric approach spaces.- Approach invariants.- Index analysis.- Uniform gauge spaces.- Extensions of spaces and morphisms.- Approach theory meets Topology.- Approach theory meets Functional analysis.- Approach theory meets Probability.- Approach theory meets Hyperspaces.- Approach theory meets DCPO's and Domains.- Categorical considerations., The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis. Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories. Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.
LC Classification Number
QA440-699

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