Mathematics

Mathematics is a broad-ranging field of study in which the properties and interactions of idealized objects are examined. Whereas mathematics began merely as a calculational tool for computation and tabulation of quantities, it has blossomedinto an extremely rich and diverse set of tools, terminologies, and approaches which range from the purely abstract to theutilitarian.

Bertrand Russell once whimsically defined mathematics as, ``The subject in which we neverknow what we are talking about nor whether what we are saying is true'' (Bergamini 1969).

The term ``mathematics'' is often shortened to ``math'' in informal American speech and, consistent with the Britishpenchant for adding superfluous letters, ``maths'' in British English.

References

Bergamini, D. Mathematics. New York: Time-Life Books, p. 9, 1969.

• Hilbert's Axioms
• Hilbert-Schmidt Norm
• Hilbert-Schmidt Theory
• Hilbert's Constants
• Hilbert's Inequality
• Hilbert's Nullstellansatz
• Hilbert Space
• Hilbert's Problems
• Hilbert's Theorem
• Hilbert Transform
• Hillam's Theorem
• Hill Determinant
• Hill's Differential Equation
• Hindu Check
• Hinge
• Hippias' Quadratrix
• Hippopede
• Hi-Q
• Histogram
• Hitch
• Hitting Set
• Hjelmslev's Theorem
• HJLS Algorithm
• HK Integral
• Hodge Star