Elementary Concepts of Topology - Brossura

Alexandroff, Paul

Brossura

ISBN 10: 048660747X ISBN 13: 9780486607474

Casa editrice: Dover Pubns, 1961

Riassunto

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.

Su questo libro

Product Description

New York. 21 cm. 73 pages : illustrations. Encuadernación en tapa blanda de editorial ilustrada. Idioma Inglés. P. S. Aleksandrov ; with a preface by David Hilbert. translated by Alan E. Farley. [Einfachste Grundbegriffe der Topologie. English ][Topology ][Einfachste Grundbegriffe der Topologie. ]. Includes bibliographical references. Translation of: Einfachste Grundbegriffe der Topologie .. Este libro es de segunda mano y tiene o puede tener marcas y señales de su anterior propietario. ISBN: 048660747X

Contenuti

Introduction I. "Polyhedra, Manifolds, Topological Spaces" II. Algebraic Complexes III. Simplicial Mappings and Invariance Theorems Index

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 1961
• Lingua: Inglese
• ISBN 10: 048660747X
• ISBN 13: 9780486607474
• Rilegatura: Copertina flessibile
• Numero di pagine: 64
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia