Topology and Geometry for Physicists Applications from condensed matter physics, statistical mechanics and elementary particle theory appear in the book. An obvious omission here is general relativity--we apologize for this. We originally intended to discuss general relativity. However, both the need to keep the size of the book within the reasonable limits and the fact that accounts of the topology and geometry of relativity are already available, for example, in The Large Scale Structure of Space-Time by S. Hawking and G. Ellis, made us reluctantly decide to omit this topic. |
レビュー - レビューを書く
レビューが見つかりませんでした。
目次
| 1 | |
| 25 | |
| 51 | |
| 79 | |
| 109 | |
| 120 | |
CHAPTER 7 Fibre Bundles and Further Differential Geometry | 140 |
CHAPTER 8 Morse Theory | 227 |
CHAPTER 9 Defects Textures and Homotopy Theory | 244 |
Instantons and Monopoles | 256 |
Further Reading | 305 |
Subject Index | 306 |
他の版 - すべて表示
多く使われている語句
1-simplexes 3-planes abelian group algebra anti-self-dual base space boundary calculation called Chapter characteristic classes Chern classes cohomology class compact complex structure connection consider constructed continuous map contractible coordinates corresponding covariant critical point curvature F curve defined definition denote differentiable manifold dimension dimensional discussion element equation equivalence classes Euclidean Euler class example fibre bundle fibre F Figure finite fundamental group gauge transformation geometry given Gl(n Gr(n group G groups H,(K hence holomorphic homeomorphic homology groups homotopy class identity instantons integral isomorphic Lemma line defect loop map f matrix metric Möbius strip n-loops non-zero notation obtain open sets orientable p-form parallel transport principal bundle proof quaternionic result Riemannian self-dual simplexes simply subgroup tensor theorem theory topological invariant topological space transition functions tri(V triangulation trivial twistor vector bundle vector field vector space zero
書誌情報
| 書籍名 | Topology and Geometry for Physicists |
| 著者 | Charles Nash, Siddhartha Sen |
| 出版社 | Elsevier, 1988 |
| ISBN | 0080570852, 9780080570853 |
| ページ数 | 311 ページ |
| 引用のエクスポート | BiBTeX EndNote RefMan |