A01=Norman Steenrod
Algebraic topology
Associated bundle
Associative algebra
Atlas (topology)
Author_Norman Steenrod
Automorphism
Barycentric subdivision
Bundle map
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Category=PH
Classification theorem
Coefficient
Cohomology
Cohomology ring
Conjugacy class
Connected space
Coordinate system
Coset
Cyclic group
Determinant
Differentiable manifold
Differential structure
Dimension (vector space)
Division algebra
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Equivalence class
Equivalence relation
Euler number
Fiber bundle
Homeomorphism
Homology (mathematics)
Homomorphism
Homotopy
Homotopy group
Hopf theorem
Hurewicz theorem
Identity element
Inclusion map
Inner automorphism
Invariant subspace
Jacobian matrix and determinant
Klein bottle
Lattice of subgroups
Lie group
Line element
Line segment
Linear map
Linear space (geometry)
Mapping cylinder
Metric tensor
N-sphere
Natural topology
Orthogonalization
Permutation
Principal bundle
Product topology
Quaternion
Simplicial complex
Special case
Stiefel manifold
Subalgebra
Subgroup
Subset
Tangent bundle
Tensor
Theorem
Tietze extension theorem
Topological group
Topological space
Topology
Transitive relation
Transpose
Universal bundle
Vector field
Product details
- ISBN 9780691005485
- Weight: 340g
- Dimensions: 197 x 254mm
- Publication Date: 25 Apr 1999
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.
Norman Steenrod was a professor of Mathematics at Princeton University and a member of the National Academy Of Sciences. He also edited Reviews in Topology.
