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Differential Manifolds, (Paperback)
Item #: 266284830

Differential Manifolds, (Paperback)

Item #: 266284830

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    • The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like the Lie derivative, and especially the basic integration theory of differential forms, with Stokes' theorem and its various special formulations in different contexts. The foreword which I wrote in the earlier book is still quite valid and needs only slight extension here. Between advanced calculus and the three great differential theories (differential topology, differential geometry, ordinary differential equations), there lies a no-man's-land for which there exists no systematic exposition in the literature. It is the purpose of this book to fill the gap. The three differential theories are by no means independent of each other, but proceed according to their own flavor. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.). One may also use differentiable structures on topological manifolds to determine the topological structure of the manifold (e.g. it la Smale 26).
    Book formatPaperback
    Fiction/nonfictionNon-Fiction
    GenreTextbooks
    Publication dateOctober, 1988
    Pages230
    Reading levelCollege
    SubgenreGeometry
    Series titleNo Series
    Edition2nd softcover reprint of the original 2nd 1985 Edition
    PublisherSpringer New York
    Original languagesEnglish
    LanguageEnglish
    Edu focusMathematics
    Educational levelGeneral
    Is collectibleN
    Recording time0 min
    Retail packagingSingle Piece
    Assembled product dimensions (l x w x h)6.14 x 0.51 x 9.21 in (15.6 x 1.3 x 23.4 cm)
    Assembled product weight0.76 lb (340 grams)
    Bisac subject headingMathematics

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    Differential Manifolds, (Paperback)

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