Explore the fundamentals of gravitational waves from neutron stars in this comprehensive lecture from the ICTS Summer School on Gravitational-Wave Astronomy. Delve into key concepts such as gravitational wave detectors, signal analysis, and the quadrupole formula. Examine how neutron stars radiate gravitational waves and investigate fluid dynamics in astrophysical contexts. Learn about stress-energy tensors, momentum flux, and the perfect fluid model. Cover advanced topics including relativistic Euler equations, energy conservation, thermodynamics, and neutron-proton-electron (NPE) matter at zero temperature. Gain insights from world-renowned expert Nils Andersson of the University of Southampton in this graduate-level course designed for students and researchers in gravitational wave physics and astrophysics.