I: Mathematical Foundations of Linear Hydrodynamics.- 1: Operators on Hilbert Spaces.- 2: Fundamental Spaces and Operators of Linear Hydrodynamics.- II: Motion of Bodies With Cavities Containing Ideal Fluids.- 3: Oscillations of a Heavy Ideal Fluid in Stationary and Nonstationary Containers.- 4: Problems on Oscillations of Capillary Fluids and Problems on Hydroelasticity in Immovable Containers.- 5: Other Operator Approaches to Hydrodynamics Problems of Ideal Fluids.- 6: Oscillations of an Ideal Rotating Fluid.- Appendix B: Remarks and Reference Comments to Part II.- B.1 Chapter 3.- B.2 Chapter 4.- B.3 Chapter 5.- B.4 Chapter 6.- Standard Reference Texts.- Standard Reference Texts.- List of Symbols.