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Über dieses Produkt
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486453170
ISBN-139780486453170
eBay Product ID (ePID)54229831
Product Key Features
Number of Pages158 Pages
Publication NameDifferential Topology : First Steps
LanguageEnglish
SubjectTopology
Publication Year2006
TypeTextbook
AuthorAndrew H. Wallace
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatPerfect
Dimensions
Item Height0.3 in
Item Weight6.4 Oz
Item Length8.5 in
Item Width5.5 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2006-047423
Dewey Edition22
IllustratedYes
Dewey Decimal514/.72
SynopsisKeeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. Its focus is the method of spherical modifications and the study of critical points of functions on manifolds. 1968 edition., Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. 1968 edition., Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. Its focus is the method of spherical modifications and the study of critical points of functions on manifolds. No previous knowledge of topology is necessary for this text, which offers introductory material regarding open and closed sets and continuous maps in the first chapter. Succeeding chapters discuss the notions of differentiable manifolds and maps and explore one of the central topics of differential topology, the theory of critical points of functions on a differentiable manifold. Additional topics include an investigation of level manifolds corresponding to a given function and the concept of spherical modifications. The text concludes with applications of previously discussed material to the classification problem of surfaces and guidance, along with suggestions for further reading and study.