I Introductory Concepts in Quantum Theory. - 0 Units of Measurement. - 1 Quantum Mechanics: Some Remarks and Themes. - 2 Equations of Motion in Classical Mechanics. - 3 Quantization and the Schrödinger Equation. - 4 Hypergeometric Equations and Special Functions. - 5 Hydrogen-like Atoms. - 6 Heisenberg's Uncertainty Principle. - 7 Group Representations and Selection Rules. - 8 The Quantized Hamiltonian for a Charged Particle in an Electromagnetic Field. - 9 Spin Wave Functions. - 10 Introduction to Multi-Electron Atoms. - II Some Selected Topics. - 11 Fresnel Integrals and Feynman Integrals. - 12 Path Integral for the Harmonic Oscillator. - 13 Euclidean Path Integrals. - 14 The Density Matrix and Partition Function in Quantum Statistical Mechanics. - 15 Zeta Regularization. - 16 Helmholtz Free Energy for Certain Negatively Curved Space-Times and the Selberg Trace Formula. - 17 The Zeta Function of a Product of Laplace Operators and the Multiplicative Anomaly for X?d. - 18 Schrödinger's Equation and Gauge Theory. - About the Author. - General Appendices. - Appendix A: Some Further Electron Configurations. - Appendix B: Mendeléev Periodic Table. - Appendix C: Determinants for String World-Sheets That Are Tori: Another Example of Zeta Regularization. - Appendix E: Some Informal Comments on QFT. - References. Language: English