V_2_21 — Topology Applications in Science

Topology — the branch of mathematics concerned with properties preserved under continuous deformation (stretching, bending, twisting, but not tearing or gluing) — has transformed from an abstract mathematical discipline

V_2_03 — History of Algebra: Al-Khwarizmi to Group Theory

Algebra — the generalization of arithmetic to unknown quantities and their relationships — has a 4,000-year documented history, from Babylonian equation-solving tablets (c. 1800 BCE) through Brahmagupta's Indian treatise

V_2_14 — Differential Topology and Manifolds

Differential topology studies smooth manifolds — spaces that locally resemble Euclidean $\mathbb{R}^n$ with smooth (infinitely differentiable) transition maps — and the smooth maps between them, classified up to diffeomo

E_4_15 — Thermoluminescence and OSL Dating: Beyond Radiocarbon

Thermoluminescence (TL) and Optically Stimulated Luminescence (OSL) dating are trapped-charge geochronological techniques that determine the time elapsed since a mineral grain (typically quartz or feldspar) was last expo

M_5_00 — Analysis Methods Controversies: Subfolder Summary

X_5_10 — Geriatric Medicine: The Health of Aging Populations

Geriatric medicine (geriatrics) is the medical specialty focused on the health care of older adults — addressing the complex, often multimorbid, and functionally oriented needs of aging populations. The specialty recogni

X_4_18 — Fractal Physiology: The Mathematics of Healthy Life

The body is a fractal machine. From capillaries that branch like river deltas to the 70 m² of lung surface packed into a 4-litre chest cavity, and from the beat-to-beat complexity of a healthy heart to the trabecular sca