manifold etymology

Etymology:

The word "manifold" has its origins in two Latin words:

• Manus: Meaning "hand"
• Foliare: Meaning "to make leaves"

Meaning:

A manifold is a geometric object that is locally similar to Euclidean space. It can be thought of as a surface that can be smoothly bent and curved. Manifolds can be of various dimensions, including 1-dimensional curves, 2-dimensional surfaces, and higher-dimensional spaces.

Origin:

The term "manifold" was first used by the German mathematician Bernhard Riemann in his 1854 paper "On the Hypotheses Which Lie at the Foundations of Geometry." Riemann used the concept of a manifold to develop his theory of Riemann surfaces, which are important in the study of complex analysis and differential geometry.

Applications:

Manifolds are used in various fields of mathematics, physics, and engineering, including:

• Differential geometry: To study the curvature and other properties of surfaces and spaces.
• Topology: To classify different types of topological spaces and study their properties.
• Physics: To describe the geometry of space-time and various physical phenomena, such as relativity and string theory.
• Engineering: To model the behavior of materials and design complex structures.

manifold relate terms

• many

  Etymology many adj Middle English many from Old English manig many from Proto G

• manifold

  Etymology The word manifold has its origins in two Latin words Manus Meaning hand

• multi

  Etymology The word multi originates from the Latin multus meaning many Meaning

• fele

  Etymology Fele is a word with multiple etymological origins depending on its language

• multifarious

  Etymology Latin multifarius various manifold Multi meaning many farius m

• broad minded

  Etymology Broad adj wide extensive spacious liberal tolerant Mind n the c

• multiple

  Etymology The study of the origin of words and the way in which their meanings have chang

• blue

  Etymology The word blue originates from the Middle English blewe which in turn is de

• paper

  Etymology The word paper originates from the Coptic word papyrus which refers to a w

• increase

  Etymology The word increase comes from the Old French word encroistre which is deriv

• copy

  Etymology The word copy originates from the Middle English word copien meaning to

• double

  Etymology The word double has two possible etymologies From the Middle English dob

• pipe

  Etymology The word pipe originates from the Middle English word pipe which in turn