04651nam 22015135 450 991015474490332120230520185811.01-4008-8265-610.1515/9781400882656(CKB)3710000000631341(MiAaPQ)EBC4738759(DE-B1597)467975(OCoLC)979747118(DE-B1597)9781400882656(EXLCZ)99371000000063134120190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierElementary Differential Topology. (AM-54), Volume 54 /James R. MunkresRevised edition.Princeton, NJ :Princeton University Press,[2016]©19631 online resource (132 pages) illustrationsAnnals of Mathematics Studies ;326Lectures given at Massachusetts Institute of Technology, Fall, 1961.0-691-07955-2 0-691-09093-9 Includes bibliographical references and index.Frontmatter --Preface --Contents --Chapter I. Differentiable Manifolds --Chapter II. Triangulations of Differentiable Manifolds --References --Index of terms --BackmatterThe description for this book, Elementary Differential Topology. (AM-54), Volume 54, will be forthcoming.Annals of mathematics studies ;no. 54.Differential topologyAddition.Affine transformation.Algebraic topology.Analytic manifold.Approximation.Barycentric coordinate system.Barycentric subdivision.Basis (linear algebra).Brouwer fixed-point theorem.CR manifold.Centroid.Chain rule.Closed set.Combinatorics.Compact space.Conjecture.Continuous function.Convex set.Coordinate system.Corollary.Degeneracy (mathematics).Diameter.Diffeomorphism.Differentiable function.Differentiable manifold.Differential topology.Dimension (vector space).Dimension theory (algebra).Dimension theory.Disjoint sets.Elementary proof.Empty set.Equation.Euclidean space.Existential quantification.Function composition.Fundamental theorem.General topology.Geometry.Grassmannian.Homeomorphism.Homotopy.Hyperplane.Identity matrix.Inclusion map.Integer.Intersection (set theory).Invariance of domain.Jacobian matrix and determinant.Line segment.Linear algebra.Linear equation.Linear map.Locally compact space.Manifold.Mathematical induction.Matrix multiplication.Metrization theorem.Natural number.Number theory.Open set.Partial derivative.Partition of unity.Polyhedron.Polytope.Regular homotopy.Remainder.Scientific notation.Secant.Similarity (geometry).Simplex.Simplicial complex.Smoothness.Special case.Submanifold.Subset.Tangent bundle.Tangent vector.Theorem.Thickness (graph theory).Topological manifold.Topology.Trigonometric functions.Unit cube.Word problem (mathematics).Differential topology.513.83Munkres James R.57583DE-B1597DE-B1597BOOK9910154744903321Elementary Differential Topology. (AM-54), Volume 542788789UNINA