Elementary Concepts of Topology

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Elementary Concepts of Topology by Paul Alexandroff, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Paul Alexandroff ISBN: 9780486155067
Publisher: Dover Publications Publication: August 13, 2012
Imprint: Dover Publications Language: English
Author: Paul Alexandroff
ISBN: 9780486155067
Publisher: Dover Publications
Publication: August 13, 2012
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Great Love Poems by Paul Alexandroff
Cover of the book Frank Lloyd Wright's Hollyhock House by Paul Alexandroff
Cover of the book Whitefoot the Wood Mouse by Paul Alexandroff
Cover of the book An Etymological Dictionary of the English Language by Paul Alexandroff
Cover of the book Set Theory and Logic by Paul Alexandroff
Cover of the book Numerical Methods by Paul Alexandroff
Cover of the book Civil War Letters by Paul Alexandroff
Cover of the book Madame de Treymes and Other Stories by Paul Alexandroff
Cover of the book Infinite Crossed Products by Paul Alexandroff
Cover of the book The Theory of Sound, Volume One by Paul Alexandroff
Cover of the book Topological Methods in Galois Representation Theory by Paul Alexandroff
Cover of the book Henry VI, Part II by Paul Alexandroff
Cover of the book Legends of the Egyptian Gods by Paul Alexandroff
Cover of the book Fuenteovejuna by Paul Alexandroff
Cover of the book The War of the Worlds by Paul Alexandroff
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy