Topology from the Differentiable Viewpoint
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A01=John Milnor
Abelian group
Algebraic Method
Analytic function
Approximation
Author_John Milnor
Bijection
Boundary (topology)
Category=PBM
Category=PBP
Change of variables
Cobordism
Codimension
Combination
Compact space
Complex number
Computation
Continuous function
Coordinate system
Countable set
Derivative
Determinant
Diffeomorphism
Differentiable function
Differentiable manifold
Differential equation
Differential topology
Dimension
Division by zero
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence relation
Euclidean space
Euler number
Finite set
Flattening
Fundamental theorem of algebra
Gauss-Bonnet theorem
Gaussian curvature
General topology
Geometry
Homology (mathematics)
Homotopy
Hyperbolic function
Hyperplane
Inequality (mathematics)
Integer
Inverse function theorem
L. E. J. Brouwer
Line segment
Linearity
Local diffeomorphism
Locally constant function
Manifold
Mathematical induction
Mathematics
Modular arithmetic
Normal (geometry)
Open set
Partial derivative
Plus and minus signs
Quantity
Rectangle
Sard's theorem
Scalar curvature
Smoothness
Special case
Stereographic projection
Submanifold
Subset
Surjective function
Tangent space
Tangent vector
Theorem
Unit vector
Vector field
Product details
- ISBN 9780691048338
- Weight: 113g
- Dimensions: 152 x 229mm
- Publication Date: 14 Dec 1997
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
