1 Introduction to the Locally Trivial Bundles Theory -- 2 Homotopy Invariants of Vector Bundles -- 3 Geometric Constructions of Bundles -- 4 Calculation Methods in K-Theory -- 5 Elliptic Operators on Smooth Manifolds and K-Theory -- 6 Some Applications of Vector Bundle Theory -- References

1. Mathematics
2. Global analysis (Mathematics)
3. Manifolds (Mathematics)
4. Operator theory
5. Differential geometry
6. Probabilities
7. Algebraic topology
8. Mathematics
9. Algebraic Topology
10. Global Analysis and Analysis on Manifolds
11. Operator Theory
12. Differential Geometry
13. Probability Theory and Stochastic Processes