The Topology of Fibre Bundles. (PMS-14), Volume 14 / / Norman Steenrod.
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 gene...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1951 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Princeton Mathematical Series ;
27 |
| Online Access: | |
| Physical Description: | 1 online resource (224 p.) |
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| LEADER | 06786nam a22019215i 4500 | ||
|---|---|---|---|
| 001 | 9781400883875 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20161951nju fo d z eng d | ||
| 019 | |a (OCoLC)999360477 | ||
| 020 | |a 9781400883875 | ||
| 024 | 7 | |a 10.1515/9781400883875 |2 doi | |
| 035 | |a (DE-B1597)474309 | ||
| 035 | |a (OCoLC)962359234 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA611 | |
| 072 | 7 | |a MAT038000 |2 bisacsh | |
| 082 | 0 | 4 | |a 513.83 |2 23 |
| 100 | 1 | |a Steenrod, Norman, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Topology of Fibre Bundles. (PMS-14), Volume 14 / |c Norman Steenrod. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2016] | |
| 264 | 4 | |c ©1951 | |
| 300 | |a 1 online resource (224 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Princeton Mathematical Series ; |v 27 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Part I. The General Theory of Bundles -- |t Part II. The Homotopy Theory of Bundles -- |t Part III. The Cohomology Theory of Bundles -- |t Appendix -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Topology. | |
| 650 | 7 | |a MATHEMATICS / Topology. |2 bisacsh | |
| 653 | |a Algebraic topology. | ||
| 653 | |a Associated bundle. | ||
| 653 | |a Associative algebra. | ||
| 653 | |a Associative property. | ||
| 653 | |a Atlas (topology). | ||
| 653 | |a Automorphism. | ||
| 653 | |a Axiomatic system. | ||
| 653 | |a Barycentric subdivision. | ||
| 653 | |a Bilinear map. | ||
| 653 | |a Bundle map. | ||
| 653 | |a Classification theorem. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Cohomology ring. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Conjugacy class. | ||
| 653 | |a Connected component (graph theory). | ||
| 653 | |a Connected space. | ||
| 653 | |a Coordinate system. | ||
| 653 | |a Coset. | ||
| 653 | |a Cup product. | ||
| 653 | |a Cyclic group. | ||
| 653 | |a Determinant. | ||
| 653 | |a Differentiable manifold. | ||
| 653 | |a Differential structure. | ||
| 653 | |a Dimension (vector space). | ||
| 653 | |a Direct product. | ||
| 653 | |a Division algebra. | ||
| 653 | |a Equivalence class. | ||
| 653 | |a Equivalence relation. | ||
| 653 | |a Euler number. | ||
| 653 | |a Existence theorem. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Factorization. | ||
| 653 | |a Fiber bundle. | ||
| 653 | |a Frenet-Serret formulas. | ||
| 653 | |a Gram-Schmidt process. | ||
| 653 | |a Group theory. | ||
| 653 | |a Homeomorphism. | ||
| 653 | |a Homology (mathematics). | ||
| 653 | |a Homomorphism. | ||
| 653 | |a Homotopy group. | ||
| 653 | |a Homotopy. | ||
| 653 | |a Hopf theorem. | ||
| 653 | |a Hurewicz theorem. | ||
| 653 | |a Identity element. | ||
| 653 | |a Inclusion map. | ||
| 653 | |a Inner automorphism. | ||
| 653 | |a Invariant subspace. | ||
| 653 | |a Invertible matrix. | ||
| 653 | |a Jacobian matrix and determinant. | ||
| 653 | |a Klein bottle. | ||
| 653 | |a Lattice of subgroups. | ||
| 653 | |a Lie group. | ||
| 653 | |a Line element. | ||
| 653 | |a Line segment. | ||
| 653 | |a Linear map. | ||
| 653 | |a Linear space (geometry). | ||
| 653 | |a Linear subspace. | ||
| 653 | |a Manifold. | ||
| 653 | |a Mapping cylinder. | ||
| 653 | |a Metric tensor. | ||
| 653 | |a N-sphere. | ||
| 653 | |a Natural topology. | ||
| 653 | |a Octonion. | ||
| 653 | |a Open set. | ||
| 653 | |a Orientability. | ||
| 653 | |a Orthogonal group. | ||
| 653 | |a Orthogonalization. | ||
| 653 | |a Permutation. | ||
| 653 | |a Principal bundle. | ||
| 653 | |a Product topology. | ||
| 653 | |a Quadratic form. | ||
| 653 | |a Quaternion. | ||
| 653 | |a Retract. | ||
| 653 | |a Separable space. | ||
| 653 | |a Set theory. | ||
| 653 | |a Simplicial complex. | ||
| 653 | |a Special case. | ||
| 653 | |a Stiefel manifold. | ||
| 653 | |a Subalgebra. | ||
| 653 | |a Subbase. | ||
| 653 | |a Subgroup. | ||
| 653 | |a Subset. | ||
| 653 | |a Symmetric tensor. | ||
| 653 | |a Tangent bundle. | ||
| 653 | |a Tangent space. | ||
| 653 | |a Tangent vector. | ||
| 653 | |a Tensor field. | ||
| 653 | |a Tensor. | ||
| 653 | |a Theorem. | ||
| 653 | |a Tietze extension theorem. | ||
| 653 | |a Topological group. | ||
| 653 | |a Topological space. | ||
| 653 | |a Topology. | ||
| 653 | |a Transitive relation. | ||
| 653 | |a Transpose. | ||
| 653 | |a Union (set theory). | ||
| 653 | |a Unit sphere. | ||
| 653 | |a Universal bundle. | ||
| 653 | |a Vector field. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Mathematical Series eBook Package |z 9783110501063 |o ZDB-23-PMS |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691005485 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400883875 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400883875 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400883875/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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