Physical sciences 10 topics
Physical sciences
Astrophysics
10 topics 10 math concepts connects to 3 fields
Astrophysics uses physics and mathematics to understand stars, galaxies, and the universe. From stellar structure to cosmology, it relies on PDEs, statistical mechanics, and signal processing.
Topics in this field
Black Holes
Regions of spacetime where gravity is so extreme that nothing, not even light, can escape beyond the event horizon.
differential geometry quantum mechanics
Cosmic Microwave Background
The thermal radiation relic of the hot Big Bang, encoding the state of the universe 380,000 years after its formation.
spectral analysis probability theory fourier transform
Dark Matter
The non-luminous mass component comprising roughly 27% of the universe's energy budget, inferred from gravitational effects.
probability theory dynamical systems numerical methods
Friedmann Equations and Cosmology
The dynamical equations governing the expansion history of a homogeneous, isotropic universe derived from general relativity.
differential equations dynamical systems
General Relativity
Einstein's geometric theory of gravitation describing spacetime curvature produced by mass and energy.
differential geometry partial differential equations variational calculus
Gravitational Waves
Ripples in spacetime curvature propagating at the speed of light, produced by accelerating asymmetric mass distributions.
differential equations spectral analysis numerical methods
Hubble's Law and Cosmic Expansion
The empirical relationship between a galaxy's recession velocity and its distance, forming the foundation of observational cosmology.
differential equations probability theory
Nucleosynthesis
The nuclear processes that forge every element from hydrogen to uranium inside stars, supernovae, and the Big Bang.
quantum mechanics probability theory differential equations
Stellar Evolution
The life cycle of stars from gravitational collapse through nuclear burning phases to their final compact remnants.
differential equations numerical methods dynamical systems
Stellar Structure Equations
The four coupled differential equations governing the interior structure of stars in hydrostatic equilibrium.
differential equations partial differential equations numerical methods