Operators, Geometry and Quanta

1. Geometrical Background
Dmitri Fursaev, Dmitri Vassilevich

2. Quantum Fields
Dmitri Fursaev, Dmitri Vassilevich

3. Operators and Their Spectra
Dmitri Fursaev, Dmitri Vassilevich

4. Heat Equation
Dmitri Fursaev, Dmitri Vassilevich

5. Spectral Functions
Dmitri Fursaev, Dmitri Vassilevich

6. Non-linear Spectral Problems
Dmitri Fursaev, Dmitri Vassilevich

7. Effective Action
Dmitri Fursaev, Dmitri Vassilevich

8. Quantum Anomalies
Dmitri Fursaev, Dmitri Vassilevich

9. Vacuum Energy
Dmitri Fursaev, Dmitri Vassilevich

10. Open Strings and Born-Infeld Action
Dmitri Fursaev, Dmitri Vassilevich

11. Noncommutative Geometry and Field Theory
Dmitri Fursaev, Dmitri Vassilevich

12. Solutions to Exercises
Dmitri Fursaev, Dmitri Vassilevich

Keywords: Physics, Mathematical Methods in Physics, Global Analysis and Analysis on Manifolds, Quantum Field Theories, String Theory