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2 Burnside Mathematics- Topology

Elementary Concepts of Topology

by

Elementary Concepts of Topology Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Table of Contents

Introduction

I. "Polyhedra, Manifolds, Topological Spaces"

II. Algebraic Complexes

III. Simplicial Mappings and Invariance Theorems

Index

Product Details

ISBN:
9780486607474
Translator:
Farley, Alan E.
Author:
Aleksandrov, P. S.
Author:
Alexandroff, Paul
Author:
Mathematics
Author:
Farley, Alan E.
Publisher:
Dover Publications
Location:
New York :
Subject:
Mathematics
Subject:
Geometry - General
Subject:
Geometry
Subject:
Arithmetic
Subject:
Topology
Subject:
General Mathematics
Subject:
Mathematics-Geometry and Trigonometry
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no. 2
Publication Date:
19610631
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
64
Dimensions:
8.5 x 5.38 in 0.23 pd

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Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Reference » Science Reference » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » General
Young Adult » General

Elementary Concepts of Topology Used Trade Paper
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Product details 64 pages Dover Publications - English 9780486607474 Reviews:
"Synopsis" by ,
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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