Units.- I. The Hydrogen Atom Without External Fields.- a) Nonrelativistic theory.- b) Dirac theory.- c) Radiative and other corrections.- II. The Helium Atom without External Fields.- a) Nonrelativistic theory.- b) Relativistic theory.- III. Atoms in External Fields.- a) Zeeman effect.- b) Stark effect in hydrogen.- c) Stark effect in helium.- IV. Interaction with Radiation.- a) Discrete spectrum.- b) The photoeffect.- c) Bremsstrahlung.- Appendix on spherical harmonics.- Addenda and errata.- Further addenda and errata.- Author index.- Index of Tables.