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Elementary Concepts of Topology
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eBay-Artikelnr.:406345215486
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- ISBN
- 9780486607474
Über dieses Produkt
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
048660747X
ISBN-13
9780486607474
eBay Product ID (ePID)
14038311138
Product Key Features
Number of Pages
64 Pages
Language
English
Publication Name
Elementary concepts of Topology
Publication Year
1961
Subject
Topology
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
3 Oz
Item Length
8.3 in
Item Width
5.3 in
Additional Product Features
Intended Audience
College Audience
Illustrated
Yes
Table Of Content
IntroductionI. "Polyhedra, Manifolds, Topological Spaces"II. Algebraic ComplexesIII. Simplicial Mappings and Invariance TheoremsIndex
Synopsis
Concise work presents topological concepts in clear, elementary fashion without sacrificing their profundity or exactness. Author proceeds from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups., Alexandroff's beautiful and elegant introduction to topology was originally published in 1932 as an extension of certain aspects of Hilbert's Anschauliche Geometrie. The text has long been recognized as one of the finest presentations of the fundamental concepts, vital for mathematicians who haven't time for extensive study and for beginning investigators. The book is not a substitute for a systematic text, but an unusually useful intuitive approach to the basic concepts. Its aim is to present these concepts in a clear, elementary fashion without sacrificing their profundity or exactness and to give some indication of how they are useful in increasingly more areas of mathematics. The author proceeds from the basics of set-theoretic topology, through those topological theorems and questions which are based upon the concept of the algebraic complex, to the concept of Betti groups which binds together central topological theories in a whole and upon which applications of topology largely rest. Wholly consistent with current investigations, in which a larger and larger part of topology is governed by the concept of homology, the book deals primarily with the concepts of complex, cycle, and homology. It points the way toward a systematic and entirely geometrically oriented theory of the most general structures of space. First English translation, prepared for Dover by Alan E. Farley. Preface by David Hilbert. Author's Foreword. Index. 25 figures., Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
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Diatrope Books
100% positive Bewertungen•4.6 Tsd. Artikel verkauft
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Verkäuferbewertungen (2'142)
- d***n (792)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufTypically bungling performance from Evri (Hermes): the package was said to be ‘out for delivery’ on 2 September, but it did not arrive until 8 September, after I had expended much effort in trying to find out what had happened to it. In contrast, top marks for the seller: accurate description, excellent packaging, prompt transport from USA (until Evri got its hands on the package), and good-natured support when I explained the problems I was having with the notoriously inefficient delivery firm.
- t***j (1741)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufGreat Transaction - Item as Described - Packaged with Great Care - Fast Shipping - Many Thanks! A+++The Book Club of California: (Volume 87, No. 1, Winter 2022) (Nr. 405979437934)
- k***d (125)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufShipping was insanely fast! Packaging super tough! Came as described and beyond the value. One of my new favorite additions to my books.Mount Analogue: An Authentic Narrative (Nr. 405833804341)